The weight the scale would read if the sphere of mass 20 kg with a 10 cm radius was totally submerged in water is 155.1 N
Fg = m g
Fb = ρ V g
Fg = Force of gravity
Fb = Buoyant force
m = Mass
g = Acceleration due to gravity
ρ = Density of medium
V = Volume of object
m = 20 kg
g = 9.8 m / s²
ρ = 1000 kg / m³
r = 10 cm = 0.1 m
Fg = 20 * 9.81
Fg = 196.2 N
Fb = ρ ( 4 / 3 π r³ ) g
Fb = 1000 * 4 / 3 * 3.14 * 0.1³ * 9.8
Fb = 41.1 N
N = Fg - Fb
N = Scale reading
N = 196.2 - 41.1
N = 155.1 N
Therefore, the scale reading if the sphere was totally submerged in water is 155.1 N
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a certain volume of gas was confined in a rigid container. if the pressure of the gas sample in the container was doubled, what happened to the temperature?
The pressure of the gas in the rigid container is doubled, then the temperature will also increase by two times.
According to ideal gas equation,
PV = nRT
Where, P is pressure, V is volume, n is the moles, T is temperature of the gas and R is the gas constant.
A certain volume of gas is put in the container means that the volume and the mole of the gas are constant so, we can write,
PV = Constant,
P₁/T₁ = P₂/T₂
Let us say that P₁ and V₁ are initial parameters, If the volume of the container is doubled, then, P₂ = 2P₁,
So,
P₁/T₁ = 2P₂/T₂
T₂ = 2T₁.
So, the temperature of the gas will be increase by two times,
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3. how are the voltage and current related? are they in phase or out of phase? what is the phase angle between the voltage and the current?
The voltage and current are related is to resistive circuit.
What is resistive circuit?
In a fully resistive circuit, current and voltage are in phase, and the power factor is 1. In a circuit where the current lags the voltage by 90 degrees, the power factor is zero trailing. The current leads the voltage in a completely capacitive circuit by 90 degrees, and the power factor is zero.
What is the relationship between the phases of voltage and current?
Current and voltage in a pure resistive circuit are in phase with one another. Thus, the peak values of both the current and the voltage will occur simultaneously.
Therefore, the phase angle between the voltage and the current is, capacitive circuit by 90 degrees, and the power factor is zero.
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al walks down to the bottom of an escalator that is moving up and he counts 150 steps. his friend, bob, walks up to the top of the escalator and counts 75 steps. if al's speed of walking (in steps per unit time) is three times bob's walking speed, how many steps are visible on the escalator at a given time? (assume that this value is constant.)
The minimum number of steps visible on the escalator at any given time is 150.
Let's assume that the escalator is moving upward at a constant rate, so that the distance traveled by al in one unit of time is equal to three times the distance traveled by bob in one unit of time, which means that al will take three times as many steps as bob does.
Let's say that al walks down 50 steps per unit time, and bob walks up 25 steps per unit time. We know from our earlier assumption about constant speed that al will take three times as many steps as bob does, so if al walks down 50 steps per unit time, then bob walks up 75 steps per unit time—but we also know that there are 150 total visible steps on the escalator at any given point in time.
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which method would be most helpful in locating the center of gravity of an object? which method would be most helpful in locating the center of gravity of an object? applying a known torque to the object hanging the object from a string spinning the object like a top carefully weighing the object
Plumb-line method By hanging an item from several places and marking the vertical line with a plumb line, you can empirically determine where an object's center of gravity is located.
The object's center of gravity is where two or more vertical lines converge at a point on the plumb line.
A plumb line is a string that hangs perpendicular to the earth's surface with a large weight attached to it. The center of mass of the object will be traversed by a line drawn parallel to the plumb line. Draw a line along the second plumb line after repeating the process with a different attachment point.
Rub a rope through colored chalk to create a plumb line, then tack it to the top of the wall. Then secure the loose end with a plumb bob (or other tiny weight). Pull the cord taut while maintaining the bob's natural position of falling.
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everyday application: suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its string is being pulled. (a) if the string is stationary and the yo-yo accelerates away from it at a rate of , what is the angular acceleration of the yo-yo? (b) what is the angular velocity after 0.750 s if it starts from rest? (c) the outside radius of the yo-yo is 3.50 cm. what is the tangential acceleration of a point on its edge?
If it starts at rest, the angular velocity after 0.750 is 5.1. The symbol for angular velocity in SI units is s1.
Explain about the angular velocity?When an object rotates or circles around an axis, its angular velocity is the rate at which the angle between the two bodies changes. The angle that is made by a line on one body and a line on the other in the illustration represents this displacement.
Examples of angular velocity include a roulette ball on a wheel, a race car travelling in a circle, and a Ferris wheel. In addition, the object's angular displacement with respect to time is represented by the angular velocity of the object.
Since the radian is a dimensionless quantity and the SI unit of angular velocity is radians per second.
Angular acceleration
a = a /r
= 1.7/0.250
a =6.8
Angular velocity
omega = a*t
= 6.8 *0.75
=5.1
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a 20.0 kgkg wood ball hangs from a 1.30 mm -long wire. the maximum tension the wire can withstand without breaking is 400 nn . a 0.900 kgkg projectile traveling horizontally hits and embeds itself in the wood ball. part a what is the largest speed this projectile can have without causing the cable to break? express your answer with the appropriate units.
The answer is 99.5m/s
When the bullet strikes the wood it starts moving and due to cable its starts moving in circular motion so a centripetal force is generated towards the center so we can write
T - mg = mv²/r
Given:
m = (20 + 0.9)kg
maximum T = 500N
r = 1.3m
so,
500 - (20.9)(9.8) = (20.9) v²/ 1.3
v² = 4.285m/s
so the speed of wooden ball and projectile is 4.285m/s
Now by conservation of momentum
m₁v₁ = m₂v₂
(0.9)v = (20.9)(4.255)
v = 99.5m/s
So the safest speed of projectile is 99.5m/s
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two charges interact with 100 newtons attractive force initially. when their distance is increased by four times, what will be the force between them?
The force between the two charges will be 25k N m.
This can be determined by using Coulomb's Law, which is a formula relating the forces between two charges (q 1 and q 2 ) at a distance r apart. The formula states that their force is equal to kq1q2/r2, where k is a constant (9 × 109 N m2/C2). If we plug in the values of 100 newtons for each charge and 4 meters for their distance, we get:
F = 100k/(4 × 109) = 25k N m
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two light bulbs of resistance 25 ohms and 30 ohms are connected in parallel. what is the equivalent resistance of the circuit?
The equivalent resistance of the circuit is 14.28 ohms.
Resistance- 25 ohms and 30 ohms in parallel
so, the equivalent resistance
1/R =1/R1+1/R2
1/R =1/25+1/30
1/R =0.07
R = 14.28 ohms
If two or more components are connected in parallel, they have the same difference of potential (voltage) across their ends. The potential differences across the components are the same in magnitude, and they also have identical polarities. The same voltage is applied to all circuit components connected in parallel. The total current is the sum of the currents through the individual components, in accordance with Kirchhoff's current law.
A parallel circuit's total resistance is always lower than any of its branch resistances. The total resistance in the circuit decreases when more parallel resistances are added to the lines.
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Which is an example of an anomaly that led to a theory being overturned?
O The recognition that people use up energy, get tired, and need to rest
O The discovery that oil will cause a rolling ball to move farther
O The belief that as Earth rotates, it drags surrounding ether with it
The discovery that materials, when burned, release phlogiston
An example of an anomaly that led to a theory being overturned is: The discovery that materials, when burned, release phlogiston.
What is a theory?A theory can be defined as an integrated set of principles and rules that can be used by a scientist to explain and predict observed events.
According to Thomas Kuhn, the process of any scientific discovery usually starts with the awareness of an anomaly and ends with making an adjustment to scientific theory in order to make a previously anomalous to become expected.
What is the phlogiston theory?The phlogiston theory can be defined as a superseded scientific theory which stated that a fire-like materials (elements) referred to as phlogiston, are found within combustible bodies and they are released when burned or during combustion.
However, the phlogiston theory is an anomaly that was later overturned by a scientists known as Antoine Lavoisier in 1772, who proved that combustion and burning of any chemical substance or materials (elements) requires a gas that has mass.
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(a) if the kinetic energy of a baseball is doubled, by what factor has its speed increased? (b) if its speed is doubled, by what factor does its kinetic energy increase?
Due to the fact that kinetic energy is proportional to the square of the speed, doubling the speed results in a four-fold increase in kinetic energy.
As a result, the object's kinetic energy doubles to become four times as much as its initial kinetic energy when its speed doubles.
Speed squared determines kinetic energy. The kinetic energy of an item increases by a factor of four with speed.
Because an object's motion is dependent on both its velocity and its mass, though velocity plays a larger role in motion.
Thus, the relationship between kinetic energy and mass and velocity is direct. Since kinetic energy is exactly proportional to both the square of velocity and mass, its value increases by an order of eight.
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a long solenoid has a length of 0.71 m and contains 1255 turns of wire. there is a current of 4.2 a in the wire. what is the magnitude of the magnetic field within the solenoid?
Answer:
The answer is 9.32x10^(-6) T.
Explanation:
The formula of finding magnetic field in a long solenoid is (B)= (MU)X N X I/L.
MU=4*(PI)*10^-7 h/m
n=1255
i=4.2 A
l=0.71 m
b= 9.32*10^(-6) T.
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a projector has a focal length of 10.0 cm. after focusing, the lcd object is 10.5 cm from the lens. how many cm is the image screen from the lens?
The image screen is 10.5 cm from the lens.
The focal length of the lens is 10.0 cm, so once the lens focuses, it will be 10.0 cm from the object. In order to find how many centimeters away from the lens the image screen is, we need to use trigonometry and Pythagorean theorem.
Where x is the distance between our object and our projector in meters, and y is the distance between our projector and our image screen in meters. We know that y = 10.5 cm, or 0.105 m; we also know that x = 0 meters because our object is placed directly on top of our projector (therefore it's at 0 m).
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A steel bar has a width of 10 cm at 50oC At what temperature will it fit exactly into a hole of constant width 10.005 cm if coefficient of linear expansion of steel is 11x10-6 C-1)? A. 75oC B. 0.005oC C. 75.5oC D. -75.50C
The temperature at which the bar will fit exactly into a hole of constant width 10.005 cm if coefficient of linear expansion of steel is 11x10-6 C-1 is 95.5 °C
Δ L = L - Lo
Δ T = T - To
Δ L = Change in length
L = Initial length
Lo = Final length
α = Co-efficient of linear expansion
Δ T = Change in temperature
T = Initial temperature
To = Final temperature
L = 10 cm
Lo = 10.005 cm
T = 50 °C
Δ L = - 0.005 cm
α = 11 * [tex]10^{-6}[/tex] / °C
Δ L / L = α Δ T
Δ L / α L + T = To
To = ( - 0.005 ) / 11 * [tex]10^{-6}[/tex] * 10 + 50
To = 45.5 + 50
To = 95.5 °C
Therefore, the temperature at which the bar will fit exactly into a hole is 95.5 °C
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Answer:
The steel bar will fit exactly into the hole at a temperature of 95.45°C.
Explanation:
To find at what temperature the steel bar will fit exactly into a hole of a constant width, use the Linear Expansion equation.
Linear Expansion equation[tex]\boxed{L_1-L_0=L_0 \cdot \alpha \cdot (T_1-T_0)}[/tex]
where:
L₀ is the initial width.L₁ is the final width.α is the coefficient of thermal linear expansion.T₀ is the initial temperature.T₁ is the final temperature.As we want to find the final temperature, rearrange the equation to isolate T₁:
[tex]T_1=\dfrac{L_1-L_0}{L_0 \cdot \alpha}+T_0[/tex]
Given values:
L₀ = 10 cmL₁ = 10.005 cmα = 11 × 10⁻⁶ 1/°CT₀ = 50°CSubstitute the values into the equation:
[tex]\implies T_1=\dfrac{10.005-10}{10 \cdot 11 \times 10^{-6}}+50[/tex]
[tex]\implies T_1=\dfrac{0.005}{0.00011}+50[/tex]
[tex]\implies T_1=95.45^{\circ}\text{C}\; \sf (2\;d.p.)[/tex]
Therefore, the steel bar will fit exactly into the hole of constant width 10.005 cm at a temperature of 95.45°C (to two decimal places).
Note: The answer is not one of the options provided.
which region of jupiter generates its magnetic field? view available hint(s)for part a which region of jupiter generates its magnetic field? metallic hydrogen layer molecular hydrogen layer gaseous atmosphere rocky core
The outer core of Jupiter, which is made up of liquid metallic hydrogen, is where electrical currents originate that create the planet's internal magnetic field.
Explain about the outer core?
The third layer of the Earth is its outer core. Iron and nickel, together with trace amounts of other materials, make up the majority of this layer, which is the only one that is liquid. The Earth's magnetic field is created by the outer core. The iron inside the liquid outer core of Earth flows about as it rotates on its axis.
Above the solid inner core of the Earth and below its mantle is a liquid layer made of iron and nickel that is about 2,261 km thick. Its outer boundary is located 2,890 km (1,800 mi) below the surface of the Earth.
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a cylindrical space colony 13 km in diameter and 30 km long has been proposed as living quarters for future space explorers. such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. all this would be held in place by the rotation of the cylinder about the long axis. how fast would such a cylinder have to rotate at its perimeter to produce a 1-g gravitational field at the walls of the cylinder?
0.00048 rad/s should be the angular velocity of the cylinder to produce a 1-g gravitational field at the walls of the cylinder.
The following problem requires understanding angular velocity and centripetal acceleration to obtain the result. The angular velocity of a body is defined by its virtue of velocity at a particular angle on an axis.
Centripetal acceleration is acceleration when the body is rotating and that acts towards the midpoint of the circular movement.
centripetal acceleration = rω² (derived from v²/r)
here
ω = angular velocity of the cylinder
r = radius of the space colony = 13km / 2 ⇒ 6.5km or 6500m
Substituting the values,
a = g ⇒ 9.8m/s²
ω = √9.8 / 6500 = 0.00048 rad/s
∴The cylinder should rotate at 0.00048 rad/s for producing a 1-g gravitational field.
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light bulbs produce useful energy in the form of light and waste energy in the form of heat. what kind of light bulb would you use to incubate eggs?(1 point)
To incubate the eggs, we need to use a low-efficiency light bulb because it will produce more heat.
The working light bulb in the incubator is when it turned on the machine the bulb lit up and the box got hot. When the temperature reaches 38 degrees Celsius, the sensor triggers the temperature controller to turn off the bulb. Therefore, the temperature of the box was kept up to a certain limit. Humidity in the box was maintained by a jar filled with water. Water was added daily to keep the humidity between 60% and 90%. Eggs were rotated twice daily to ensure that all sides of the eggs were hatched. This buildup was monitored for up to 22 days.
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how much tension must a rope withstand if it is used to accelerate a 1054 kg car horizontally along a frictionless surface at 1.23 m/s2?
The tension must a rope withstand is 1296.42N
Given- Mass m=1054 kg
acceleration= 1.23 m/s²
To find Tension generated .
Principle -Tension is the reaction of the action applied that means due to application of mass along with acceleration there is a urge towards earth and to substantiate it or to form a couple the reaction occurred is tension that equalises the role of force,
Mathematically , Force = ma ⇒Tension
F=T
T=ma
Calculations & Answer - T= 1054 x 1.23
= 1296.42N
Since T=F so unit of force and tension will be same.
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Science
Eighth grade D.1 Calculate density, mass, and volume 9BL
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Olive oil in a bottle has a mass of 690 grams and a volume of 750 cubic centimeters.
Calculate its density.
Write your answer to the hundredths place.
grams per cubic centimeter
The density of the of the olive oil, given that it has a mass of 690 grams and a volume of 750 cm³ is 0.92 g/cm³
How do I determine density of the olive oil?We know that density is defined as mass per unit volume. It is expressed as:
Density = mass / volume
Thus, with the above formula, we can determine the density of the oliver oil as illustrated below:
Mass of olive oil = 690 gVolume of olive oil = 750 cm³ Density of olive oil = ?Density = mass / volume
Density of olive oil = 690 / 750
Density of olive oil = 0.92 g/cm³
Therefore, we can conclude that the density of the olive oil is 0.92 g/cm³
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an american traveler in new zealand carries a transformer to convert new zealand's standard 230 v to 120 v so that she can use some small appliances on her trip. what is the ratio of turns in the primary and secondary coils of her transformer?
The ratio of turns in the primary and secondary coils of her transformer is 1.916
Primary voltage = 230v
secondary voltage = 120v
The ratio of turns in primary and secondary coils of transformer is given by,
Np/Ns = 230/120
= 1.916
Transformer: a piece of equipment used to increase or decrease voltage while transferring electrical energy from one alternating-current circuit to another or several circuits. Transformers are used for a wide range of tasks, including lowering the voltage of traditional power circuits to operate low-voltage appliances like doorbells and toy electric trains and raising the voltage of electric generators to enable long-distance transmission of electrical power.
Transformers alter voltage using electromagnetic induction, which means that current is induced in a second coil known as the secondary as the magnetic lines of force (flux lines) build up and collapse with changes in current travelling through the primary coil. To determine the secondary voltage, multiply the primary voltage by the number-to-number ratio. Transformers are devices that convert electrical energy from a single alternating-current turn in the secondary coil to the number of turns in the main coil, a measurement known as the turns ratio.
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In which scenario below does the ball have more gravitational potential energy when sitting at the top?
Why?
A. The ball
travels up
the stairs
to a
height of
3 ft.
B. The ball
travels straight
up the column
to a height of 3
ft.
In both the cases gravitational potential energy is same.
What is gravitational potential?Gravitational potential energy is energy an object possesses because of its position in a gravitational field. The most common use of gravitational potential energy is for an object near the surface of the Earth where the gravitational acceleration can be assumed to be constant at about 9.8 m/s².
Given two cases height of the top is 3 ft so the potential energy is same as potential energy is dependent on height of the ball.
In both the cases gravitational potential energy is same.
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In a classroom demonstration, a 79. 2-kg physics professor lies on a "bed of nails. " The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from the board. While the professor is lying down, approximately 1950 nails make contact with his body. What is the average force exerted by each nail on the professor's body?
Lying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back.
The Force of a Bed of NailsLying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back. According to physics, a force exerted downward will be dispersed across the nails, lowering the force that each nail applies individually. The force that each nail exerts decreases with the number of nails.
Given
m=79.2 kg The mass of the Physics Professor
n=1950
The Number of Nails in the Bed of Nails
Solving for the weight of the professor applied to the board of nails
W=mg
W=(79.2 kg)(9.8 ms2)
W=776.16N
Solving for the force applied by the individual nails.
Fn=Wn
Fn=776.16 N1950Fn=0.398
N Therefore each nail applies 0.398 N of force.
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starting from rest, you drive down a street. when accelerating from 15 mph to 30 mph, your change in kinetic energy is your change in kinetic energy from 0 to 15 mph. a) one third b) one half c) equal to d) two times e) three times
Kinetic energy, which can be seen in the movement of an object, particle, or group of particles, is the energy of motion.
What is the formula to calculate kinetic energy?Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilograms-meters squared per second squared if the mass is measured in kilograms and the velocity is measured in meters per second.Kinetic energy is a unit of measurement for the amount of work that a moving thing can accomplish.KE=1/2mv2energy KE = units
mass m = 15
velocity v = 30
KE = 6750 J
Here, m stands for mass, a measure of how much matter is contained within an object, and v for velocity, a measure of how quickly the object changes positions.To Learn more About Kinetic energy refer to :
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what is the acceleration of a proton moving with a speed of 8.0 m/s at right angles to a magnetic field of 1.8 t ?
A proton will accelerate at 1.27 109 m/s2. The rate of a change in velocity is called acceleration.
A magnetic field is what?It is the kind of field that produces magnetic force. use a magnetic field to assist. The field that is sensed around a moving electric charge is how the magnetic force is measured.
The information provided in the issue is;
What is a proton's acceleration equal to?
The speed is 8.0 m/s, therefore v.
B = 1.8 T is the magnetic field.
The centripetal force and the megnetic force are equivalent;
qvB =m v/r
ac = 1.6 * 10 -18* 9.5* 1.8/1.67810-27
=1.27*10m/s
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a horizontal wire that is 25 m long and has a mass of 100 g is held under a tension of 10 n. a sinusoidal wave of frequency 25 hz and amplitude 15 mm travels along the wire. calculate the maximum traveler velocity of any particle of the wire.
the maximum velocity of movement of any particle of the wire is 3.87 m/s
AND)
and)
L = wire length = 25 m
m = weight of wire = 100 g = 0.1 kg
The linear mass density of the wire is given as
μ = m/L = 0.1/25 = 0.004 kg/m
T = tensile force in the wire = 10 N
the speed of the wave along the wire is given as
v =√(T/μ)
v = √ (10/0.004)
v = 50 m/s
(ii)
A = amplitude = 15 mm = 0.015 m
f = frequency = 25 Hz
the maximum lateral velocity is given as
Vmax = 2πfA
Vmax = 2(3.14)(25)(0.015)
Vmax = 2.4 m/s
b)
F = force acting on each edge = 2.5 N
L = length of each edge = 0.75 m
m = weight of each edge = 125 g = 0.125 kg
the speed of the waves on the sheet is given as
v = √(FL/m) = √(2.5 x 0.75/0.125) = 3.87 m/s
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a car, initially moving with some initial velocity, accelerates until its momentum has increased by a factor of 2.39. by what factor has its kinetic energy increased?
Since the kinetic energy equation squares velocity, velocity increases have exponential effects: while doubling an object's mass doubles its kinetic energy, doubling its velocity quadruples it!
Definition and examples of kinetic energyThe energy of motion, or kinetic energy, is manifested in the motion of a particle, an object, or a group of particles. Kinetic energy is used by any moving thing, including people moving, baseballs being thrown, table crumbs falling, and charged particles in electric fields.
What 3 types od kinetic energy are there?Kinetic energy is divided into three subtypes: vibrational, rotational, or translational. Unsurprisingly, items that vibrate produce vibrational kinetic energy. Moving objects generate rotational kinetic energy, whereas object collisions generate translational kinetic energy.
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a 200 g mass is placed on the meter stick 20 cm from the fulcrum. a 170 g mass is used tobalance the system. how far will it have to be located from the fulcrum to keep the systeminbalance?
200 g mass is placed on meter stick 20 cm from fulcrum. a 170 g mass is used to balance the system and placed the meter stick at 23.52cm.
What is equilibrium?A dynamic or static equilibrium between opposing forces or actions, such as when forces are acting on a body and the resultant is zero (as in a reversible chemical reaction when rates of reaction in both the directions are equal)
The word "equilibrium" derives from the Latin word "libra," which means "weight" or "balance." As a constellation, astrological sign, and representation of the zodiac, Libra is sometimes shown as a set of balance scales, frequently held by the blindfolded goddess of justice, which stands for justice, fairness, and equality. Biology, chemistry, physics, and economics all have different definitions of equilibrium, yet they all refer to the harmony of opposing forces.
F₁d₁ = F₂d₂
m₁gd₁ = m₂gd₂
m₁d₁ = m₂d₂
here,
m₁ is mass of known object = 200 g
m₂ is mass of unknown object = 170 g
d₁ is distance from fulcrum of known object = 20 cm
d₂ is distance from fulcrum of unknown object = ?
∴ 200 × 20 = 170 × d₂
4000 = 170 × d₂
4000/170 = d₂
d₂ = 23.52 cm
170 g mass is placed at the distance of 23.52 cm.
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an empty beaker is weighed and found to have a mass of 130g. a measuring cylinder contains 50cm3 of an unknown liquid. all the liquid is poured into the beaker which is again weighed and found to have a mass of 170 g. calculate the density of the liquid.
Taking into account the definition of density, the density of the liquid is 0.8 g/cm³.
Definition of densityDensity is defined as the property of matter, whether solid, liquid, or gas, that allows the amount of mass in a given volume of a substance to be measured.
The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
density= mass÷ volume
It can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
Density of the liquidIn this case, you know that:
Density= ?Mass of the empty beaker= 130 gMass of liquid + Mass of the empty beaker= 170 gMass of liquid= (Mass of liquid + Mass of the empty beaker) - (Mass of the empty beaker)= 170 g - 130 g= 40 gVolume= 50 cm³Replacing in the definition of density:
density= 40 g÷ 50 cm³
Solving:
density= 0.8 g/cm³
In summary, the density in this case is 0.8 g/cm³.
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at what speed do a bicycle and its rider, with a combined mass of 120 kgkg , have the same momentum as a 1800 kgkg car traveling at 5.4 m/sm/s ? express your answer to two significant figures and include the appropriate units.
27m./s speed do a bicycle and its rider, with a combined mass of 120 kg , have the same momentum as a 1800 kg car traveling at 5.4 m/s.
Speed can be defined as the distance travelled by the object per unit time. Momentum can be defined as the product of the mass and the speed of the object.
The equation for the momentum is p = mv
Here, m is the mass of the object and v is the speed of the object. The equation for the impulse is, I = mΔ v
Here, m is the mass and is the change in momentum. The equation for the change in speed is
Here, ΔV = [tex]V_{f} -V_{i}[/tex]
is the initial speed [tex]v_{i}[/tex]
is the final speed.[tex]v_{f}[/tex]
Step: 1
The equation for the momentum of the bike and rider is, P (B+R)= M [tex](B+R)^{V}[/tex]…… (1)
Here, M (B+R) is the mass of the bike and rider, and v is the speed of the bike and rider.
The equation for the momentum of the car is [tex]P_{car} = m_{car} V_{car}[/tex]…… (2)
Here,
[tex]m_{car }[/tex]is the mass of the car and
[tex]V_{car}[/tex]is the speed of the car.
According to the question, the momentum of the bike and rider is the same as that of the momentum of the car, that is,
Substitute the equations (1) and (2) in above equation.
[tex]M_({B+R^{v} )}[/tex]= [tex]M_{car}V_{car}[/tex]
Rearrange the above equation for v. v = [tex]M_{car}V_{car}[/tex]/[tex]M_({B+R^{} )}[/tex]
Substitute 1800 kg for[tex]M_{car}[/tex] , and for 5.4m/s in above equation.
v = ( [tex]\frac{(1800) (5.4)}{120}[/tex] = 27m./s
Here, the momentum of the bike and rider is depending on the combined mass of the bike and rider and the speed of the bike and raider.
What is speed?Measurement is the most important concept in science. There are many measurable quantities that are measured in basic or fundamental physical units. Speed is one such measurable quantity that measures the ratio of the distance travelled by an object to the time it takes to travel. Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or the first derivative of velocity with respect to time.
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a 10 kg ball is tied to a 7 meter long string. the ball is spun in a circle with a constant speed. the maximum tension allowed in the string before it breaks is 100 n. (a)if spun in a horizontal circle, what is the maximum speed the mass can attain?
The highest rate of speed a person can reach is called maximum speed.When athletes alter the magnitude or direction of their motion, or both.
What is the maximum speed the mass can attain?The maximum speed the stone can attain is 8.366 m/s
Data;
Mass = 10kg
radius of tangential path = 7m
Tension = 100N
Centripetal Force
The centripetal force of the stone can be calculated as
Fe =mv/r
v² = Tr/m
v=√Tr/m
v=√100*7/10
v=8.366 m/s
The tension acting on the string is given as
The maximum speed the stone can attain is 8.366m/s
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the salad is chemichal or physical change
Answer:Physical
Explanation:
Answer:
physical change
Explanation:
Making a fruit salad, with raw fruits is considered as physical change because in this process chemical composition of fruits is not changed. It is simply changing the shape of the substance.