A 1650 kg car is going a street at 42 m/s east. What is the momentum of the car

The change in position or displacement (Δx) divided by the time intervals (Δt) in which the displacement occurs yields the average velocity.

Depending on the sign of the displacement, the average velocity can be positive or negative.

To begin, in order to calculate average velocities, we need the position for each instant mentioned:

Y(2) = 2 ft

Y(2.5) = 0 ft

Y(2.1) = 13.44 ft

Y(2.05) = 14.76 ft

Y(2.01) = 15.7584 ft

Let us now compute the average velocities:

V(2 - 2.5) = Y(2.5) - Y(2) / 2.5 - 2

= -32 ft/s

V(2 - 2.1) = Y(2.1) - Y(2) / 2.1 - 2

= -25.6 ft/s

V(2 - 2.05) = Y(2.05) - Y(2) / 2.05 - 2

= -24.8 ft/s

V(2 - 2.01) = Y(2.01) - Y(2) / 2.01 - 2

= -24.16 ft/s

Now, we can derive the expression for y for the instantaneous velocity:

For t=2s, V(t) = 40 - 32t V(2) = -24ft/s

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The rightward directions she gives are as follows: 1. Move 400 meters to the northwest. 3. The wealth is hidden there, 700 meters to the east-southeast.

This means that anything is pushed toward the center of the earth, which causes the pulled object to accelerate by 9.8 meters per second as it "falls" to the earth. As a result, each second that such a body is dragged towards the earth, its velocity (speed with direction) increases by around 9.8 meters per second.

It should be remembered that gravitation is not a continuous force; gravity weakens the more you are from the center of the Earth. Since it fluctuates from 9.83 at the poles to 9.78 at the equator, it isn't even a consistent at the surface. Due to this, we utilize an average value of 9.8.

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The minimum size of the snowshoes needed to enable her to walk without sinking will be 1.37 m².

Assumption:

(i) Her weight is uniformly distributed on the imprint area

(ii) the weight of the shoes is negligible

Now, given that mass of women, m = 70 kg

For a pressure of 0.5 kPa on the snow, the imprint area of one shoe must be:

A = W/P

here, W = mg = 70 kg . 9.81 m/s² = 70x9.81 N

P = 0.5 kPa = 0.5 x 1000 N/m²

so, A = [tex]\frac{70x9.81 N}{0.5(1000)N/m^2}[/tex]

or A = 1.37 m²

Therefore, the minimum size of the snowshoes needed to enable her to walk without sinking will be 1.37 m².

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The speed of the penny after 2.5 seconds is 24.5 m/s.

What is speed?

Speed is a scalar quantity that refers to "how fast an object is moving." It is the rate at which an object changes its position, and it is measured in units of distance per unit of time (such as meters per second or miles per hour). Speed is related to the distance traveled by an object and the time it takes to travel that distance, and it can be calculated by dividing the distance traveled by the time it took to travel that distance.

The speed of an object in free fall can be calculated using the equation:

v = g * t

where v is the velocity, g is the acceleration due to gravity (approximately 9.8 m/s^2 on the Earth's surface) and t is the time elapsed.

In this scenario, the penny is dropped off the top of the Statue of Liberty, which is 93 m tall, and we want to find the speed of the penny after 2.5 seconds.

So, we can substitute the values in the equation:

v = 9.8 m/s^2 * 2.5 s = 24.5 m/s

Therefore, the speed of the penny after 2.5 seconds is 24.5 m/s (assuming no air resistance).

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The heat required would be Q = 7.0 g/28 g/mol * 20.8 J/molK * (2T - T) = 544 J.

Heat is the transfer of energy from one body or system to another due to the difference in their temperatures. Heat is commonly transferred through thermal conduction, convection, radiation, or when two bodies with different temperatures come into direct contact.

The heat required for a process at constant pressure is greater than the heat required for a process at constant volume. This is because when a gas is heated at constant pressure, work is done to push the piston outward, so more energy is required.

To double the volume and temperature at constant pressure, the heat required would be equal to the change in internal energy of the system,
which can be calculated using the equation Q = nCvΔT,
where n is the number of moles of gas,
Cv is the molar heat capacity,
and ΔT is the change in temperature.
In this case, the molar heat capacity of nitrogen gas is 20.8 J/molK,
So the heat required would be Q = 7.0 g/28 g/mol * 20.8 J/molK * (2T - T) = 544 J.

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Answer:

To gradually increase blood flow to the body

The force required to hold the ping pong ball completely under the water is 36,189.98 dyne.

Diameter of ball = 4.18 cm

The radius of the ball = 2.09 cm

The volume of the ball can be calculated as   V=    [tex]\frac{4}{3}[/tex]π r³                      

Therefore, the volume of the ball = 38.26 cm³

The net force required to completely submerge a ball under water = (Buoyant force) - (the weight of the ball)

If ρ₁ is used for the density of water. Then, the value of ρ₁ is 1 g cm⁻³.

Buoyant force = ρ₁gV

                      = 1 × 980 × 38.26

                      = 37494.80 dyne

Here, ρ₂ = density of ball = 0.0348 1 g cm⁻³.

                 Weight of ball = ρ₂gV

                                           = 0.0348 × 980 × 38.26

                                          = 1304.82 dyne

Therefore, the net force required to completely submerge a ball under water    = 37494.80 - 1304.82 = 36,189.98 dyne or 0.362 N

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The speed when they hit the street will be equal to each other.

Air resistance and gravity are the two fixed forces of nature which move on any object on Earth. For example, when a plane flies through the air, the air particles are pressing against the aeroplane, making it harder for the aircraft to move. When you see a feather fall, it is greatly affected by air resistance.

A force applied to all bodies on Earth is Weight ( W ), which is caused by Earth's gravity. If a body is free falling, its only acceleration is g , gravity. So gravity increases velocity. Both objects will show a change in their velocities because of gravity.

The velocity for both objects if one is thrown up and other is thrown down is same which is given by this formula:

where,

v= final velocity,

v₀= initial velocity,

h is the difference in height between building and street and g= acceleration due to gravity.

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Yes, turning up the thermostat in the middle of the night for 15 minutes reduce the amount of time it takes it to reach temp in the morning.

The United States Department of Energy suggests turning thermostats back 7 to 10 degrees from their normal settings for 8 hours per day in order to achieve annual savings of up to 10%. The Department of Energy estimates that savings of approximately 1 percent can be achieved for each degree of thermostat adjustment that is made every 8 hours. The amount of time it takes for the temperature to reach the desired level in the morning can be reduced by raising the thermostat for fifteen minutes in the middle of the night.

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The useful output power of the blender is 420 W.

To calculate the useful output power of the blender, we can use the equation:

P_output = P_input * efficiency

Where P_output is the useful output power, P_input is the total input power, and efficiency is the percentage of input power that is converted to useful output power.

Given that the total input power is 600 W and the blender is 70% efficient, we can substitute these values into the equation to find the useful output power:

P_output = 600 W * 0.70

P_output = 420 W

Therefore, the useful output power of the blender is 420 W.

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In a circle at constant speed, the work done is zero since the Force is always perpendicular to the distance moved as you move incrementally around the circle.

An object moves in a circle at a consistent speed in a motion known as uniform circular motion. Any point on a propeller, for instance, that is rotating continuously, is moving uniformly in circles. The second, minute, and hour hands on a watch are some further examples. It is amazing that despite the constant rotation rate, points on these revolving objects are actually speeding. We must consider the motion in terms of vectors in order to see this.

A centripetal motion is an Objects having a constant speed have zero acceleration in one-dimensional kinematics. In two- and three-dimensional kinematics, a particle can experience acceleration even if its speed is constant if it follows a curved trajectory, like a circle.

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The maximum speed the car weighing 1500kg and turning in a horizontal circle which has a radius of 20 meters can take the turn without skidding at 10.84m/s.

Maximum speed is the highest rate of speed that can be attained. Acceleration is the velocity, and because velocity has both a magnitude and direction associated with it, the acceleration changes when an object change the magnitude of their motion, the direction of their motion, or both of these.

Radius of the circular path, r = 20 m

Mass of the car, M = 1500 kg

Maximum speed of the car = v

The coefficient of friction, μ = 0.6

The centrifugal force will balance the friction force so that the car does not slip.

Therefore, mv²/r = μmg

v²/r = μg

v² = μgr

v = √(μgr)

v = √(0.6 × 9.8 × 20)

v = √(117.6)

v = √(294,000)​

v = √(117.6)

v = 10.84m/s

Therefore, the maximum velocity of the car is 10.84 meter per second.

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The change in the car's gravitational potential energy from A to B is calculated as 4.90 J.

Gravitational potential energy may be characterized as a type of energy that is typically possessed or acquired by an object due to an alteration in its position when it is present in a gravitational field. In more simple terms, it can be revealed that gravitational potential energy is an energy that is associated with gravitational force or gravity.

According to the question,

The formula for gravitational potential energy is as follows:

where m is the mass (in kg) of the body. G is the magnitude of the gravitational field that the body is exposed to. H is the height at which the body is located.

First, you have to calculate the gravitational potential energy of the car on point A, i.e. U₁= (2.0 kg)(9.8 m/s²)(0 m)= 0 J.

Second, the Gravitational potential energy of the car on point B is found as, U₂= (2.0 kg)(9.8 m/s²)(0.25 m)= 4.90 J.

Now, you must have to calculate the change in the car’s gravitational potential energy: ΔU= U₂-U₁= 4.90 J - 0 J= 4.90 J.

Therefore, the change in the car's gravitational potential energy from A to B is calculated as 4.90 J.

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A tool that uses sound waves to measure the distance of an object is called a sonar device.

A sonar device is a tool that uses sound waves to measure the distance or detect the presence of objects underwater. The device sends out a high-frequency sound pulse that travels through the water and bounces back to the device after hitting an object. By measuring the time it takes for the sound wave to return, the device can determine the distance to the object and generate an image of the underwater environment. Sonar technology is widely used in applications such as navigation, fishing, and search and rescue operations.

Sound waves are a type of mechanical wave that travels through a medium, such as air, water, or solids, and is generated by the vibration of an object. The vibration creates a compression and rarefaction of the medium, which then spreads out as a wave. When these waves reach the ear, they are interpreted by the brain as sound. The speed of sound in a given medium depends on the properties of that medium, such as density and temperature.

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Answer:

1) [tex]t=4.16s[/tex]

2) [tex]s=44.10m[/tex]

3) [tex]v_{final}=40.84\frac{m}{s}[/tex]

Explanation:

a) How long till it hits the ground?

Since the person threw the ball perfectly horizontal, the ball has 0 vertical velocity at the start. In fact, it takes the same time for the ball to reach the ground if they dropped the ball instead of throwing. The acceleration in a vertical drop is gravity ([tex]a=9.81\frac{m}{s^2}[/tex])

Basically, we'll solve first part as if he just dropped the ball.

Use this linear motion formula:

[tex]s=v_{inital}(t_{final} -t_{initial})+1/2a(t_{final}-t_{inital})^2[/tex]

Since [tex]v_{initial} =0[/tex] we can remove that part from equation:

[tex]s=1/2a(t)^2[/tex]

[tex]85=1/2*9.81(t)^2[/tex] Plug and solve

[tex]170=9.81(t)^2[/tex]

[tex]17.33=t^2[/tex]

[tex]t=4.16s[/tex]

b) How far away does it land?

We will use the same formula above for horizontal motion.

[tex]s=v_{inital}(t_{final} -t_{initial})+1/2a(t_{final}-t_{inital})^2[/tex]

[tex]s=v(t)+0[/tex]  (Remove the last part since [tex]a=0[/tex])

[tex]s=10.6(4.16)[/tex]

[tex]s=44.096m[/tex]

c) How fast was it traveling vertically at the end?

Use this other linear motion formula for this step. s=85m (height of building).

[tex]v_{final} ^2-v_{initial} ^2=2as[/tex]

[tex]v_{final} ^2-0^2=2(9.81)*(85)[/tex] Started with 0 vertical velocity.

[tex]v_{final} ^2=1667.7[/tex]

[tex]v_{final}=40.837m/s[/tex]

According to the question of speed, a) 16.05 seconds does the ball hit the ground, b) 169.33 m far from the building will it land, c) 37.68 m/s is the velocity of the ball just before it hits the ground.

What is speed?
Speed is the rate at which something moves or an object's rate of motion. It can be measured in metres per second, kilometres per hour, and miles per hour, and is often used to describe the motion of objects, such as vehicles, animals, or natural phenomena.

a. The time it takes for the ball to hit the ground is given by the equation t = (2×h)/v, where h is the height of the building (85 m) and v is the initial velocity of the ball (10.6 m/s). Plugging in the given values, we get t = (2×85)/10.6 = 16.05 seconds.

b. The distance from the building at which the ball will land is found using the equation x = vt, where v is the initial velocity (10.6 m/s) and t is the time it takes for the ball to hit the ground (16.05 seconds). Plugging in the given values, we get x = 10.6×16.05 = 169.33 m.

c. The velocity of the ball just before it hits the ground is determined by the equation v = √(2gh), where g is the acceleration due to gravity (9.8 m/s2) and h is the height of the building (85 m). Plugging in the given values, we get v = √(2×9.8×85) = 37.68 m/s. This is the velocity of the ball just before it impacts the ground.

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The magnitude of electric force is [tex]2.27 * 10^{6} N[/tex] (downwards)

We know that electric force between two charges is given by equation:

                                         F = [tex]\frac{k.q_{1} .q_{2} }{r^{2} }[/tex]

Where,

k = constant = [tex]9 * 10^{9} Nm^{2} /C^{2}[/tex]

q1 = first charge =35 C

q2 = second charge = -35 C

r = distance between them = 2.2 km = 2200m

Putting these values in above equation we get:

F = -[tex]2.27 * 10^{6} N[/tex] , where negative sign denotes the direction.

So, the magnitude of electric force is [tex]2.27 * 10^{6} N[/tex] (downwards)

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The force of gravity the moon exerts on you is greater than the force of gravity you exert on the moon.

The force of gravity is a fundamental pressure of nature that acts between two gadgets with mass. It's miles the pressure that attracts  objects toward every other, and its energy is proportional to the mass of the gadgets and the space among them. The pressure of gravity is liable for the motion of planets and different celestial gadgets, as well as for maintaining items on the floor. It turned into first described by way of Sir Isaac Newton in his laws of motion and normal gravitation, which stated that every item inside the universe attracts each different item with a pressure proportional to the product of their masses and inversely proportional to the rectangular of the distance between them.

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The force the moon exerts on you is greater.

Gravity is a force of attraction between two objects in space that is proportional to the masses of the objects and inversely proportional to the square of the distance between them. It is the force that holds planets in orbit around stars and is what causes objects to fall to the ground when dropped. On Earth, the force of gravity is what gives weight to objects and what keeps us anchored to the surface. The strength of the gravitational force is determined by the mass of the objects and the distance between them, with more massive objects having a stronger gravitational pull.

The force of gravity is the force with which a celestial body attracts objects toward its center. The force of gravity is proportional to the mass of the object and inversely proportional to the square of the distance between the objects. The force of gravity acts as the source of the weight of objects. The force of gravity is responsible for holding objects in orbit around the earth and other celestial bodies. The most well-known example of the force of gravity is the attraction between the earth and moon, which causes the tides.

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The electric field due to these charges at some point a great distance from them is zero.

Electric field is a physical field created by a static electric charge or a changing electric charge. It is a vector field that exerts force on other charged particles. Electric fields are created when electric charges are separated, and the strength of the field is determined by the amount of charge and the distance from the charge.

This is because the electric field from an individual charge is inversely proportional to the square of the distance from it, and so the electric field from the two charges cancel each other out when the distance is greater than the separation between the electron and proton.

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There is a thermal efficiency of 0.46 for a heat engine. With each cycle, it absorbs 780 J of heat from the high-temperature storage. B) 200 J waste heat it discard each cycle.

The thermal efficiency of a heat engine is defined as the ratio of the work output to the heat input, so in this case, the thermal efficiency is 0.46. Therefore, the work output is 0.46 * 780 J = 360 J.

The waste heat discarded each cycle is the difference between the heat input and the work output, so 780 J - 360 J = 200 J.

How much useful work does the heat engine perform in each cycle?

The useful work that the heat engine performs in each cycle can be determined by using the formula: thermal efficiency * heat absorbed = useful work. In this case, the thermal efficiency is 0.46, and the heat absorbed is 780 J.

Therefore, the useful work done by the engine is 0.46 * 780 J = 360 J.

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The mass of the object is: 100 kg

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

To solve this exercise, the formula and procedure to be applied is:

F = m * a

Where:

Information about the problem:

Applying the force formula and isolating the mass, we get:

F = m * a

m= F/a

m= 5.0x 10^2 n /5.0 m/s²

m= 100 kg

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The statement that is false is "there are places on earth where all forces are absent." Forces, such as gravity, are always present on Earth.

All the given statements are true except the statement "there are places on earth where all forces are absent." is false.

Forces change the momentum of a body,forces always occur in equal and opposite pairs (Newton's third law), where there is no force, objects continue to move the way they were moving, and forces cause an acceleration to take place are all true statements about forces.

Newton's third law simply states that there is an equal and opposite reaction to every action. So, if object A exerts a force on object B, object B will exert an equal but opposite force on object A.

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If a current of 16A flows through a wire with a resistance of 0.6 Ohms, the voltage is: 9.6V.

Using this formula to determine the voltage

V = I × R

Where:

V = voltage = ?

I = current = 16A

R = resistance = 0.6 Ohms

Let plug in the formula

V = 16A ×  0.6 Ohms

V = 9.6V

Therefore the voltage is 9.6V

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Geosynchronous satellite makes a round around the earth in 29.93 hours. It makes a difference of 36000 km difference in the altitude.

Geosynchronous satellites are those that remains stationery with respect to a place. This is because their time period to complete a cycle is 23.93 hours, that is exactly the same as the rotation period of the earth. So the satellite appears stationery. The velocity of the geosynchronous satellite around the earth is 3.07 km/s or 3070 m/s.

GMm/(R+h)² = mv²/(R+h)

GM/v² = (R+h)²

Where R is the radius of the earth = 6.37 × 10⁶ m, h is the altitude of the satellite above the earth, and M is the mass of the earth that is 6 × 10²⁴ kg, G = 6.67 × 10⁻¹¹ Nm²/kg²

(6.67 × 10⁻¹¹ ×6 × 10²⁴)/(3070)² = (R+h)

(R+h) = 42461989 m

6.37 × 10⁶ + h = 42461989

h = 42461989 - 6.37 × 10⁶

h = 36.09 × 10⁶  m

h = 36000 km.

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Answer:

To keep the other four charges in equilibrium, the charge q that should be placed at the center of the square is equal in magnitude but opposite in sign to the total charge of the other four charges.

Answer: The mass on Moon will be 98. 1 kg.

Explanation:

As per the known fact, the mass is independent of acceleration due to gravity of planet.

The velocity with which the ball left the ground when it is dropped from a tall building is calculated to be 25.82 m/s.

Height to which a ball bounces back s = 34 m

From the equations of kinematics, we know, the relation connecting height, velocities and acceleration as,

v² - u² = 2 a s

where, v is the final velocity

u is the initial velocity

a is the acceleration

s is the height travelled

Here, u = 0 and a is the acceleration due to gravity

v² = 2 × 9.8 × 34

v² = 666.4

v = 25.82 m/s

Thus, the velocity with which the ball left the ground is calculated to be 25.82 m/s.

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Yes, the velocity of the ball has changed as it changed its direction from hitting the wall and after it struck the wall.

Speed is a scalar which means it has magnitude but not the direction. Velocity, on the other hand, is a vector with both magnitude and a direction. As the speed of two cars may be the same, if they are heading to different directions, then their velocity are not identical.

The velocity of he ball has changed. Let's call that the initial direction positive, when the ball was going towards the wall, its velocity is positive +V. But when it bounces directly back, the direction is now is negative -V. The direction of the velocity has changed, even though the magnitude has not.

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If we neglect the effect of air friction, then the motion of the ball a short time later will be a combination of horizontal and vertical motion.

If you stand on tall cliff and throw ball so that it is initially moving purely horizontally and neglecting the effect of air friction, motion of the ball a short time later will be combination of horizontal and vertical motion. This is because the only force acting on ball is gravity, which will pull the ball downwards. Therefore, ball will experience a vertical acceleration due to gravity, while continuing to move horizontally at constant velocity.

Motion of the ball is a parabolic path, which is the trajectory of projectile under the influence of gravity. Horizontal component of the motion will remain constant, while vertical component will be affected by gravity and will decrease until ball reaches maximum height and then it will increase again until the ball hit the ground.

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The ratio i100hz/i1000hz is 1000, meaning that the least intense perceptible sound at 100 Hz is 1000 times more intense than the least intense perceptible sound at 1000 Hz.

Intense is an adjective describing something that is extreme or powerful, either in terms of strength, emotion, or concentration. It can refer to a feeling, such as intense emotion, or a physical sensation, such as intense pain.

The least intense perceptible sound at 100 Hz is about one millionth of a Pascal, while the least intense perceptible sound at 1000 Hz is about one billionth of a Pascal. Therefore, the ratio i100hz/i1000hz is 1000, meaning that the least intense perceptible sound at 100 Hz is 1000 times more intense than the least intense perceptible sound at 1000 Hz.

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