Exam 6: Impulse and Linear Momentum

Find the magnitude and direction of the net momentum of the system shown in the figure.Express the direction by giving the angle the net momentum makes with the +x-axis.

A steady horizontal force lasting for 2.1 s causes a 1.25 kg object to accelerate at 3.2 m/s² on a frictionless table.What impulse does this force exert on the object?

Two ice skaters suddenly push off against one another starting from a stationary position.The 45-kg skater acquires a speed of 0.375 m/s relative to the ice.What speed does the 60-kg skater acquire relative to the ice?

A very small 51-g steel ball is released from rest and falls vertically onto a steel plate.The ball strikes the plate and is in contact with it for 0.50 ms.The ball rebounds elastically (at the same speed)and returns to its original height.The total time interval for a round trip is 3.00 s.What is the magnitude of the average force exerted on the ball by the plate during contact with the plate?

Two vehicles approach a right angle intersection and then suddenly collide.After the collision,they become entangled.If their mass ratios were 1:4 and their respective speeds as they approached the intersection were both 13 m/s,find the magnitude and direction of the final velocity of the wreck.

A 0.14-kg baseball is dropped from rest from a height of 2.0 m above the ground.What is the magnitude of its momentum just before it hits the ground if we neglect air resistance?

A dinner plate falls vertically to the floor and breaks up into three pieces,which slide horizontally along the floor.Immediately after the impact,a 320-g piece moves along the +x-axis with a speed of 2.00 m/s and a 355-g piece moves along the +y-axis with a speed of 1.50 m/s.The third piece has a mass of 100 g.In what direction relative to the +x-axis does the third piece move?

Two air track carts move along an air track towards each other.Cart A has a mass of 450 g and moves toward the right with a speed of 0.850 m/s.Cart B has a mass of 300 g and moves toward the left with a speed of 1.12 m/s.What is the total momentum of the two-cart system?

A 475-gram ball is traveling horizontally at 12.0 m/s to the left when it is suddenly struck horizontally by a bat,causing it to reverse direction and initially travel at 8.50 m/s to the right.If the bat exerted an average force of 1275 N on the ball,for how long (in milliseconds)was it in contact with the ball?

A 2.0-kg ball moving eastward at 3.0 m/s suddenly collides with and sticks to a 4.0-kg ball moving northward at 2.0 m/s.What is the magnitude of the momentum of this system just after the collision?

A very light Ping-Pong ball moving east at a speed of 4 m/s collides with a very heavy stationary bowling ball.The Ping-Pong ball bounces back to the west,and the bowling ball moves very slowly to the east.On which object is the greater magnitude impulse exerted during the collision?

A 0.140-kg baseball is dropped from rest.It has a speed of 1.20 m/s just before it hits the ground,and it rebounds with an upward speed of 1.00 m/s.The ball is in contact with the ground for 0.0140 s.What is the average force exerted by the ground on the ball during the time of contact?

A force of 5.3 N is needed to hold on to an umbrella in a strong wind.If the air molecules each have a mass of 4.7 ×10^-26 kg,and each one strikes the umbrella (without rebounding)with a speed of 2.0 m/s in the same direction,how many molecules strike the umbrella each second? Assume that the wind blows horizontally so that the gravitational force exerted on the air molecules can be neglected.

A tiger is running in a straight line.If we double both the mass and speed of the tiger,the magnitude of its momentum will increase by what factor?

An empty train car of mass 2.0 x 10⁴ kg coasts along at 10 m/s.A 3000-kg boulder is suddenly dropped vertically into the car.Find the speed of the car immediately after the boulder is dropped in.

Three objects are moving along a straight line as shown in the figure.Taking the positive direction to be to the right,what is the total momentum of this system?

A very elastic rubber ball is dropped from a certain height and hits the floor with a downward speed v.Since it is so elastic,the ball bounces back with the same speed v going upward.Which of the following statements about the bounce are correct? (There could be more than one correct choice.)

A small car meshes with a large truck in a head-on collision.Which of the following statements concerning the momentum during the collision are correct? (There could be more than one correct choice.)

A dinner plate falls vertically to the floor and breaks up into three pieces,which slide horizontally along the floor.Immediately after the impact,a 200-g piece moves along the +x-axis with a speed of 2.00 m/s,a 235-g piece moves along the +y-axis with a speed of 1.50 m/s.The third piece has a mass of 100 g.What is the speed of the third piece?

A 1000-kg whale swims horizontally to the right at a speed of 6.0 m/s.It suddenly collides directly with a stationary seal of mass 200 kg.The seal grabs onto the whale and holds fast.What is the momentum of these two sea creatures just after their collision? You can neglect any drag effects of the water during the collision.