world-class sprinters can accelerate out of the starting blocks with an acceleration that is nearly horizontal and has magnitude 15 m/s^2. how much horizontal force f must a sprinter of mass 60 kg exert on the starting blocks to produce this acceleration?

1. There are three forces.

2. Yes, the forces on the beam are balanced.

3. The magnitude of the net force on them is zero.

4. The tension in Cable 1 is 8,596.49 N

5. The tension in Cable 2 is 8,596.49 N

The forces acting on the beam are two tension forces due to the cable and one gravitational pull due to its weight. Thus, there are three forces acting on the beam.

The force on the beam is perfectly balanced as the cable is uniformly attached to it. The beam is moving with constant velocity, thus the acceleration is zero, and hence, the net force acting on it is also zero.

The tension, T, in both cables is equal as they are inclined at the same angle.

Now, we resolve them into rectangular components and write

Tsin35 +Tsin35 = mg = 1000*9.8 = 9800

2Tsin35 = 9800

Tsin35 = 4900

T*0.57 = 4900

T = 8,596.49 N

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Answer:

The SI unit for the electric for is

A) Coulomb

If no external force on the Centre of mass remains stationary. In order to do that displacement in lighter body must be more than that of heavier ball.

The sum of the starting momentums of the two bodies when they collide is equal to the sum of their final momentums, according to the law of conservation of momentum.

The experimental system supports the law of conservation of linear momentum when a collision occurs between a heavier ball and a lighter ball in the absence of any other external forces.

The centre of mass does not move due to any external forces. A lighter body must have a greater displacement than a heavier ball in order for that to happen. Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting location to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B. Displacement is the name for this shift in an object's position.

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The Speed of the car is 4m/s.

What is the speed?

The speed of an object can be defined as the total distance traveled by it in a particular interval of time. This can be determined by dividing the total distance moved by the object by the time taken to move.

It is the ratio of distance in m and time taken by the object to travel in seconds.

Hence: Distance D=28m

Time       T=7s

Speed S=D/T                            

S=28m/7S                          

S=4m/S

Therefore car's  speed is 4m/S

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The speed of the car is 4m/s

Speed is the rate of change of distance with time.

It is a scalar quantity and it's S.I unit is given as m/s. Distance is the space or gap between two point. Speed can generally be defined as the distance travelled per a given time

From the definition, speed = distance/time

distance is 28m and time is 4s, therefore

Speed = 28/4= 7m/s.

Therefore the speed of the car is 7m/s

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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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The speed of the cars just after the collision is 0.875 m/s.the formula to be used  m1u1 + m2u2 = m1v1 + m2v2.V=14000*1.5÷14000+1000=0.875m/s

Teenagers, young adults, and the others take the stimulant drug "speed" to feel more focused and alert, as well as, in some circumstances, to get high. Several types of speed are also used by some people to suppress their appetite.

Simply because they are not paying attention on their driving pace, drivers frequently go above the speed limit. Traffic flow, operating a powerful car, and listening to music were all mentioned as contributing factors. Some drivers claimed that passengers' distraction caused them to accelerate.

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The total drag on the airplane is 97.28

define velocity?

Velocity is the rate of change in position of an object in motion as measured by a certain time standard (e.g., 60 km/h northbound). Velocity is a key notion in kinematics, the branch of classical mechanics that studies body motion.

weight of plane=5500lb

velocity=220m/h

=200x88/60

=292

wing area= 200 ft^2

aspect ratio=8.5

oswald efficiency (E)=0.93

density of air = 1.225Kg/m^3

=0.002377

Drag= 0.5xpxvxAxcd

lift coefficient=0.245

drag coefficient= 0.0024

cd=0.0024+0.0024=0.0048

drag= 0.5x0.002377x(292x292)x200x0.0048

=0.0011885x(85264)x200x0.0048

=97.28 lb

therefore the  total drag on the airplane was 97.28 lb

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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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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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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

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:

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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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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The correct answer is 59 kg

Given-

Mass of bicycle = 10 kg

                      F = 138 N

                      a = 2 m/s²

The mass of any body can be calculated by the force and acceleration of that body. We can use the formula as-

Calculation:

                    F = ma    

                   m = F/a

                       = 138/2

                       = 69 kg

                   m = mass of bicycle + Naoki's mass. Then

                  69 = 10 + Naoki's mass

                  Naoki's mass = 69 - 10 = 59

Naoki's mass = 59 kg

Therefore, the mass of Naoki that sits on the bicycle and is pedalling is 59 kg.

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The average velocity in terms of acceleration and time is 1/2at².

Average velocity:

Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

Assume the acceleration a is uniform then:

v(t) = u + at

u = initial velocity

By average velocity v we mean average over time than strictly speaking:

v = 1/t [tex]\int\limits^t_0 {v(t)} \, dt[/tex]

  = 1/t [tex]\int\limits^t_0 {(u + at)} \, dt[/tex]

  = 1/t ( ut + 1/2 at²)

 v = u + 1/2at²

If u =0, then we have

v = 1/2 at²

Therefore the average velocity is 1/2at².

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If a student wants to collect data during an experiment about the transfer of kinetic energy in a sample of water and ice, then the tool that will help her collect the necessary data is a thermometer.

A thermometer is a device used in different applications in order to measure the temperature in the surrounding environment and or open systems such as organisms (including humans).

Therefore, with this data, we can see that a thermometer can be used to determine the temperature of an organism and also of the surrounding media.

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Answer:

your answer will be thermometer

Explanation:

if you go to connexus and are doing the science

Thermal Energy Unit Test 10 qestions 8th grd unit 5 test lesson 12 here are the correct answers

1. A. metal is heated from room temperature to 200'C.

2. B. The particles will have more space between them as steam, but they will be moving at the same speed in both states.

3. C. The potential energy decreases due to the tighter arrangement of the particles.

4. B. an increase in heat and an increase in kinetic energy until a phase change occurs.

5. C. thermometer

6. B. 4.

7. D. convection

8. C. Air moves from the areas of higher temperature to areas of lower temperature.

9. C. The temperature of the ice increases, while the temperature of the water decreases

10. A. heat transfer by radiation.

i hope this helps and please let me know if it does! = ) <3

The maximum height travelled by the ball before returning to the ground is 8.62 m.

The maximum height travelled by the ball before returning to the ground is calculated by applying the following kinematic equation as shown below.

H = (u²sin²θ) / 2g

where;

H = (26² (sin 30)²) / (2 x 9.8)

H = 8.62 m

Thus, the maximum height travelled by a projectile depends on the initial velocity and angle of projection.

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Attraction between people is Gravitation while people and earth is Gravity.

Every body in the universe attracts every other body with a force called force of gravitation. The attraction between sun and earth , attraction between table and chair lying in a room ..etc. are examples of gravitation. Gravitation is the weakest of four basic forces in nature. However , its most important force as it has its contribution in initiating the birth of stars and controlling the structure and evolution of entire universe.

Gravity is the special case of gravitation. If one of the attraction body is earth then gravitation is gravity.

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The impulse of given nail is -90 kg-m/s .

The average force acting on nail is 11250 N .

Considering that,

The hammer weighs 12 kg.

The hammer's initial speed when that strikes a nail is u = 7.5 m/s.

At last, it comes to rest when v = 0.

The time is t = 8ms = 0.008 s.

Let J be the impulse applied to the nail in (a). An item receives an impulse equal to a change within the momentum. It comes from:

J = m(v - u)

v = 0

J = -12kg x 7.5 m/s

J = -90 kg-m/s

The impulse is causing motion to move in the opposite direction.

The following provides another definition of impulse:

J = F X t

The average force pushing against the nail is F.

F = J / t

F = 90 kg-m/s / 0.008 s

F = 11250 N .

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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.

When the energy in a system is transformed, the total amount of energy in the system is always conserved.

The changing of one form of energy into another, or the movement of energy from one place to another. An energy transformation is a change of power from one form to another. Fire (Chemical energy Heat and Light) Electric lamp (Electrical energy Heat and Light), Microphone (Sound Electrical energy), Wave power (Mechanical energy Electrical energy). Energy transformation is also known as energy regeneration which is a process of changing energy from one form to another. Energy transformations are procedures that convert energy from one type, for example, kinetic, gravitational potential, and chemical energy.

So we can conclude that an energy transformation is the change of energy from one form to another.

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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.

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 9 kg hanging mass is connected by a massless cord over a frictionless pulley to a 5 kg block that is sliding on a flat table. if the coefficient of kinetic friction between the block and the table is 0.2, the tension in the string will be   37.8N

from Newton’s second law we get :

Tension force – f k = mass * acceleration         equation 1

Tension force –f k = 5.00 * a

Similarly, for the 9.00−kg mass,

 mg - Tension force  = mass * acceleration

 9.00 * g–Tension force = 9.00 * a

Adding these two equations gives:

      9.00 *9.80 − 0.2 * 5  * 9.8 =   14 a

a=5.6 [tex]m/s^{2}[/tex]

substituting this into  equation 1

Tension = 5.00* 5.60 + 0.200 * 5.00 * 9.8 = 37.8N

The tension in the string will be  37.8N

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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.

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. 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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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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On the basic of Ohm's law , we can see that when resistance increase on replacing then current passing through resistance decreses.

In the given question we have,

resistor r is connected of a battery with potential difference v and a direct current i , passing through the resistor.

According to Ohm's law , the current passing through the condutor is directly proportional to the voltage applied to it and inversely proportional to resistance.

V = IR

where, I ---> current passing through resistor

R----> resistance

V ----> Voltage

or I = V/R ---(1)

Now, it is given that when resistor is replaced by other one and resistance become 3r. From (1) we see as resistance increases the current passing through resistor decreses.

So, as resistance increase by 3r then current passing through resistance decreses by 1/3r.

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If a resistor, an inductor and a capacitor are connected in series, the phase angle between the voltages of the inductor and capacitor in a RLC series circuit is 180 degrees.

A resistor , capacitor and inductor are key components of a RLC circuit. Resistor doesn't store energy but capacitor and inductor stores energy and that is the reason resistor is called a passive element and inductor and capacitors are called active element.

Inductor leads the current by a phase angle of 90 degrees and the voltage across the capacitor lags the current by 90 degrees, so the phase difference between the voltages of the inductor and the capacitor is 180 degrees in an RLC circuit.

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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.

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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If the car's speed is 50 mph the tires will rotate 11.68 times per second.

To calculate the rotation of the tire if

First, we have to calculate the radius of the wheel.

[tex]R =\frac{d_2 + d_1 + d_2}{2}[/tex]

[tex]R = \frac{4.75 + 14.5 + 4.75}{2}[/tex]

[tex]R = \frac{24}{2}[/tex]

R = 12 inches

Convert the linear velocity.

v = 50 mph

[tex]v = 50 \times \frac{1 \: miles}{1 \: hour}[/tex]

[tex]v = 50 \times \frac{63,360 \: inches}{3,600 \: s}[/tex]

v = 880 inches/s

Formula between angular velocity and linear velocity v = ω R

Calculate the angular velocity.

[tex]\omega = \frac{v}{R}[/tex]

[tex]\omega = \frac{880}{12}[/tex]

ω = 73.33 radians/s

Angular velocity has a conection with the frequency (how many rotations in second)
ω = 2πf

[tex]f = \frac{\omega}{2 \pi}[/tex]

[tex]f = \frac{73.33}{2 \times 3.14}[/tex]

[tex]f = \frac{73.33}{6.28}[/tex]

f = 11.68 rotations/second

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The distance between the two masses of 10764 kg and 12008 kg, with a force of attraction of 0.00006 N cating on them is  36.99 m.

Distance can be defined as the length between two points.

To calculate the distance between the masses, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values intoe quation 1

Hence, the distance between the masses is 36.99 m.

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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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The time it will take an automobile traveling at 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially a distance of 114 m apart is 19.1 seconds.

The time that it will take for the two cars traveling to at the same distance can be calculated below as follows:

Let the time it will take the second automobile be T.

the distance traveled by first car = d

distance traveled by second car = d + 114 m

Time taken by first car = d / 41.0

Time taken by second car = d + 114 / 62.5

The two times are equal, hence;

d / 41.0 = d + 114 / 62.5

41d + 4674 = 62.5d

21.5d = 4674

d = 217.4 m or 0.2174 km

distance traveled by second car = 0.2174 + 0.114

distance traveled by second car = 0.3314

Time taken by second car = 0.3314 / 62.5

time taken by second car = 0.0053 hours or 19.1 seconds

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