Kinematics Questions and Answers

At the start finish line of the Charlotte Motor-speedway what is a car's distance traveled if it has driven around the track 10 times? (CMS is 2.4 km around) What is the same car's displacement from when it started?

A 900-kg car traveling east at 15.0 m/s suddenly collides with a 750-kg car traveling north at 20.0 m/s. The cars stick together after the collision. What is the speed of the wreckage just after the collision?

A water balloon is dropped from the top of a building. If the balloon is moving with 40.5 m/s as it hits the ground, how tall is the building? Neglect air resistance.

A 2.0-kg mass moving at 5.0 m/s suddenly collides head-on with a 3.0-kg mass at rest. If the collision is perfectly inelastic, what is the speed of the masses just after the collision? Is the kinetic energy conserved?

A gas occupies 1.56 L at 1.00 atm. What will be the volume of this gas if the pressure becomes 3.00 atm?

A physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in (Figure 1). The ball's position is shown at 1.0 s intervals until t = 3.0 s. At t= 1.0 s the ball's velocity has components Vx = 1.0 m/s, Vy = 2.6 m/s.

A piece of rock projected horizontally from a cliff. It stays in the air for 6 seconds before hitting the ground and travels a range of 288 meters measured from the bottom of the cliff. Neglect the friction. a) What was the height it was projected from? b) What was its initial velocity? c) What is Vfy? d) Calculate the angle of impact of the rock just before it hits the ground.

You are pulling a child in a wagon. The rope handle is inclined upward at a 60° angle. The tension in the handle is 20 N. How much work do you do if you pull the wagon 160 m at a constant speed?

How much work must you do to push a 13 kg block of steel across a steel table at a steady speed of 1.2 m/s for 6.3 s? The coefficient of kinetic friction for steel on steel is 0.60.

An airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 20° south of east. Its direction of motion relative to the earth is 45.0° south of west, while its direction of travel relative to the air is 6° south of west. What is the airplane's speed relative to the air mass in meters per second? What is the airplane's speed relative to the Earth In meters per second?

DRAW A DIAGRAM FOR EACH PROBLEM. POST A WORD DOCUMENT WITH ANSWERS ONLY AND ATTACH SCRAP WORK AS A SEPARATE FILE IN ORDER TO GET CREDIT FOR THE WORK 1) A car is going with constant velocity V= 3.6 m/s accelerates uniformly with an acceleration 4.2 m/s^2. a) What is the displacement in 7 seconds? b) What will be its displacement when it reaches the velocity of 40 m/s?

Matt is laying on the beach when seagull poop hits his face. Since he is physics professor, he was able to estimate the impact velocity of the poop to be 98.5m/s. Calculate how high up the seagull was flying when it pooped.

A bowling ball is dropped, and a tennis ball is thrown down from the same height. a) Which ball will have the greatest acceleration? Why? b) Which ball will strike the ground with highest velocity? Why?

A sailboat initially moving with 20 m/s in Northeast direction, 45 degrees with the positive x- axis accelerates, 60 degrees North of west with an acceleration of 3.0 m/s2 for 2.0 seconds. a) Find Vox and Voy b) Find ax and ay c) What is Vfx and Vfy at the end of 2.0 seconds. d) What is x and y at the end of 2.0 seconds.

Two forces F₁ and F₂ produce the same impulse on two different objects. The magnitude of the average force of F, is seven times that of F2. If the average force F₁ acts for a time interval of 7.4 ms, determine the time interval (in ms) the average force F₂ acts.

A child is outside his home playing with a metal hoop and stick. He uses the stick to keep the hoop of radius 45.0 cm rotating along the road surface. At one point the hoop coasts downhill and picks up speed. (a) If the hoop starts from rest at the top of the hill and reaches a linear speed of 8.20 m/s in 13.0 s, what is the angular acceleration, in rad/s^2, of the hoop? (b) If the radius of the hoop were smaller, how would this affect the angular acceleration of the hoop? The angular acceleration would decrease. The angular acceleration would increase. There would be no change to the angular acceleration.

A small rocket with the booster blasts off and heads straight upwards. When it reaches the height of 5.00 Km and velocity of 200.0 m/s, it releases the booster. (a) What is the maximum height the booster attains? (b) What is the velocity of booster at the height of 6.00 Km? (Neglect the air resistance)

A 10.4-kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a speed of 10.1 m/s, determine the (a) the translational kinetic energy of its center of gravity (b) the rotational kinetic energy about its center of gravity (c) its total kinetic energy

A ball is thrown upward from the ground with an initial speed of 15.2 m/s; at the same instant, another ball is dropped from a building 14 m high. After how long will the balls be at the same height?

A 68.1-kg basketball player jumps vertically and leaves the floor with a velocity of 1.66 m/s upward. (a) What impulse does the player experience? (b) What force does the floor exert on the player before the jump? (c) What is the total average force exerted by the floor on the player if the player is in contact with the floor for 0.450 s during the jump?

A bullet of mass m = 8.00 g is fired into a block of mass M = 210 g that is initially at rest at the edge of a table of height h = 1.00 m (see figure below). The bullet remains in the block, and after the impact the block lands d = 2.10 m from the bottom of the table. Determine the initial speed of the bullet.

A truck covers 40.0 m in 8.70 s while uniformly slowing down to a final velocity of 2.50 m/s. (a) Find the truck's original speed. m/s (b) Find its acceleration. m/s²

One of the fastest recorded pitches in major-league baseball, thrown by Tim Lincecum in 2009, was clocked at 101.0 mi/h. If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically by the time it reached home plate, 60.5 ft away? ft

In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220-m-long cannon with final speed of 10.97 km/s. What would have been the unrealistically large acceleration experienced by the space travelers during their launch? (A human can stand an acceleration of 15g for a short time.) m/s² Compare your answer with the free-fall acceleration, 9.80 m/s2,

A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. After 1.00 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.48 m/s², determine each of the following. (a) How long does it take him to catch his opponent? (Assume the player with the puck remains in motion at constant speed.) S (b) How far has he traveled in that time? m

A bicycle mechanic is checking a road bike's chain. He applies force F= 36 N to a pedal at the angle shown in (Figure 1) while keeping the wheel from rotating. The pedal is 17 cm from the center of the crank; the gear has a diameter of 16 cm. What is the tension in the chain?

A daredevil is shot out of a cannon at 45.0° to the horizontal with an initial speed of 27.5 m/s. A net is positioned a horizontal distance of 49.5 m from the cannon. At what height above the cannon should the net be placed in order to catch the daredevil?

A 50.0 g Super Ball traveling at 25.5 m/s bounces off a brick wall and rebounds at 21.5 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.10 ms, what is the magnitude the average acceleration of the ball during this time interval? m/s2

A jet plane lands with a speed of 98 m/s and can accelerate at a maximum rate of -4.10 m/s2 as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? S (b) Can this plane land on a small tropical island airport where the runway is 0.800 km long? Yes No

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 260 N applied to its edge causes the wheel to have an angular acceleration of 0.956 rad/s². (a) What is the moment of inertia of the wheel? kg - m² (b) What is the mass of the wheel? kg (c) If the wheel starts from rest, what is its angular velocity after 4.50 s have elapsed, assuming the force is acting during that time? rad/s

In 1990 Walter Arfeuille of Belgium lifted a 281.5-kg object through a distance of 17.1 cm using only his teeth. (a) How much work did Arfeuille do on the object? (b) What magnitude force did he exert on the object during the lift, assuming the force was constant?

The best leaper in the animal kingdom is the puma, which can jump to a height of 3.7 m when leaving the ground at an angle of 45°. With what speed must the animal leave the ground to reach that height?

A boy throws a baseball onto a roof and it rolls back down and off the roof with a speed of 4.30 m/s. If the roof is pitched at 38.0° below the horizon and the roof edge is 2.10 m above the ground, find the time the baseball spends in the air and the horizontal distance from the roof edge to the point where the baseball lands on the ground.

Suppose a boat moves at 13.0 m/s relative to the water. If the boat is in a river with the current directed east at 2.10 m/s, what is the boat's speed relative to the ground when it is heading east, with the current, and west, against the current? (Enter your answers in m/s.) (a) east with the current (b) west against the current

A boat moves through the water with two forces acting on it. One is a 1,950-N forward push by the water on the propeller, and the other is a 1,100-N resistive force due to the water around the bow. (a) What is the acceleration of the 1,300-kg boat? (b) If it starts from rest, how far will the boat move in 15.0 s? (c) What will its velocity be at the end of that time?

A ball is thrown vertically upward with a speed of 33.0 m/s. (a) How high does it rise? (b) How long does it take to reach its highest point? (c) How long does the ball take to hit the ground after it reaches its highest point? (d) What is its velocity when it returns to the level from which it started?

The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 50 m in a straight line, reaching a final speed of 90 km/h. (a) Determine the cheetah's average acceleration during the short sprint. (b) Find its displacement at t= 3.4 s. (Assume the cheetah maintains a constant acceleration throughout the sprint.)

A shop sign weighing 200 N hangs from the end of a uniform 175-N beam as shown in (Figure 1). Find the horizontal force exerted by the hinge on the beam at the wall. Express your answer to three significant figures and include the appropriate units. Find the vertical force exerted by the hinge on the beam at the wall. Express your answer to three significant figures and include the appropriate units.

The __ of an object is the difference between the initial position and the final position. force velocity displacement mass

An Olympic track runner starts from rest and has an acceleration of 2.1 m/s2 for 3.6 s, then has zero acceleration for the remainder of the race. Find the runner's speed at the following times. (a) at time t = 1.5 s (b) the end of the race

The slope of the velocity-time graph of a car represents the ______ the car. acceleration of average velocity of distance covered by time spent by

The area under the velocity time graph of an airplane represents the acceleration of the airplane velocity of the airplane distance covered by the airplane time spent by the airplane

The odometer of a car changes from 1048 km to 1096 km in 40 minutes. Calculate the average velocity. 22 m/s 14 m/s 20 m/s 18 m/s

A speedometer of a car reads a constant 60 km per hour while negotiating a curve. Which of the following could NOT be true? The car moves with a changing velocity. The car has a constant speed. The direction is constantly changing. The car undergoes acceleration.

Question 4 Which of the following is not a type of inertia? Points 1 Inertia of rest Inertia of motion Inertia of force Inertia of direction

While in a park, you walk west for 52 m, then you walk 29.9° north of west for 41 m, and finally you walk due north for 25 m. Find the components of your final displacement (in m), from your initial to final point, along the north and west directions. (a) displacement component due north m (b) displacement component due west m

You launch a model rocket from ground level. It moves directly upward with a constant acceleration of 75.5 m/s2 for 1.15 seconds, at which point it runs out of fuel. Assuming air resistance on the rocket is negligible, what is the maximum altitude (above the ground) achieved by the rocket?

A woman starts to swim directly across a 8.2-km-wide river. Her speed with respect to the water is 1.7 m/s. The river current carries the woman downstream at a speed of 0.91 m/s. (a) How much time, in seconds, does it take her to cross the river? (b) How far downstream, in meters, will the river carry her by the time she reaches the other side of the river? m ASK YOUR TEACHER

How far short of the target should it drop the package? Express your answer with the appropriate units.

A ball is thrown horizontally from a 13 m -high building with a speed of 2.0 m/s. For the steps and strategies involved in solving a similar problem, How far from the base of the building does the ball hit the ground?