Question 1

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.

Accepted Answer

123 kg .m/s ,212°

Question 2

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?

Accepted Answer

A)  14 kg ∙ m/s
B)  2.0 kg ∙ m/s
C)  10 kg ∙ m/s
D)  6.0 kg ∙ m/s
E)  8.0 kg ∙ m/sF) B) and E)
G) None of the above

Question 3

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.

Accepted Answer

Question 4

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.)

Accepted Answer

A)  The ball had the same momentum just before and just after the bounce.
B)  The magnitude of the ball's momentum was the same just before and just after the bounce.
C)  The ball's momentum was conserved during the bounce.
D)  None of the above statements are correct.E) A) and B)
F) C) and D)

Question 5

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?

Accepted Answer

A)  2.00 N upwards
B)  2.00 N downwards
C)  22.0 N upwards
D)  22.0 N downwards
E)  0.00 NF) B) and E)
G) A) and E)

Question 6

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?

Accepted Answer

The answer of A 475-gram ball is traveling horizontally at...

Question 7

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?

Accepted Answer

A)    2\sqrt { 2 }2c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
B)  2
C)  4
D)  8
E)  16 F) B) and C)
G) A) and E)

Question 8

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?

Accepted Answer

A)  26 kg ∙ m/s
B)  11 kg ∙ m/s
C)  8.4 kg ∙ m/s
D)  2.6 kg ∙ m/sE) None of the above
F) C) and D) C

Question 9

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?

Accepted Answer

A)  2.51 m/s
B)  2.57 m/s
C)  3.50 m/s
D)  5.33 m/s
E)  6.83 m/sF) A) and D)
G) D) and E)

Question 10

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?

Accepted Answer

A)  +106 kg ∙ m/s
B)  -106 kg ∙ m/s
C)  +14.0 kg ∙ m/s
D)  -14.0 kg ∙ m/s
E)  0.00 kg ∙ m/sF) C) and E)
G) A) and D)

Question 11

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?

Accepted Answer

A)  0.28 kg ∙ m/s
B)  0.88 kg ∙ m/s
C)  0.44 kg ∙ m/s
D)  0.62 kg ∙ m/s
E)  1.4 kg ∙ m/sF) C) and D)
G) None of the above

Question 12

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?

Accepted Answer

A)  3000 N
B)  1500 N
C)  2490 N
D)  2000 N
E)  3500 NF) None of the above
G) A) and B)

Question 13

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.

Accepted Answer

A)  11 m/s at 14° with respect to the original direction of the lighter car
B)  16 m/s at 76° with respect to the original direction of the lighter car
C)  11 m/s at 76° with respect to the original direction of the lighter car
D)  26 m/s at 76° with respect to the original direction of the lighter car
E)  16 m/s at 14° with respect to the original direction of the lighter carF) A) and B)
G) A) and C)

Question 14

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?

Accepted Answer

A)  0.50 m/s
B)  0.28 m/s
C)  0.38 m/s
D)  0.75 m/s
E)  0.00 m/sF) A) and B)
G) A) and D) B

Question 15

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.

Accepted Answer

A)  0.00 kg ∙ m/s
B)  1200 kg ∙ m/s
C)  2000 kg ∙ m/s
D)  7200 kg ∙ m/s
E)  6000 kg ∙ m/sF) B) and E)
G) All of the above

Question 16

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.

Accepted Answer

Question 17

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.)

Accepted Answer

A)  The momentum of the truck is constant.
B)  The momentum of the car is constant.
C)  The car and the truck must undergo the same change in speed.
D)  The momentum of the car and the momentum of the truck are each constant.
E)  The momentum of the car-truck system is constant, but the momentum of each one separately is not constant.F) B) and C)
G) A) and B)

Question 18

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?

Accepted Answer

A)  Neither; the same magnitude impulse was exerted on both.
B)  On the Ping-Pong ball
C)  On the bowling ball
D)  It is impossible to tell since the actual mass values are not given.
E)  It is impossible to tell since the velocities after the collision are unknown.F) D) and E)
G) A) and E)

Question 19

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?

Accepted Answer

A)  0.047 kg ∙ m/s toward the right
B)  0.719 kg ∙ m/s toward the right
C)  0.719 kg ∙ m/s toward the left
D)  0.750 kg ∙ m/s toward the right
E)  0.750 kg ∙ m/s toward the leftF) C) and D)
G) A) and B)

Question 20

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?

Accepted Answer

A)  216.9° from the +x-axis
B)  219.8° from the +x-axis
C)  36.9° from the +x-axis
D)  39.9° from the +x-axis
E)  39.8° from the +x-axisF) A) and C)
G) A) and B)

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.

Correct Answer
verified
123 kg .m/s ,212°

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?

Correct Answer
verified

Correct Answer
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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.)

Correct Answer
verified

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?

Correct Answer
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Correct Answer
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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?

Correct Answer
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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?

Correct Answer
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C

Correct Answer
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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?

Correct Answer
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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?

Correct Answer
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Correct Answer
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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.

Correct Answer
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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?

Correct Answer
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B

Correct Answer
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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.

Correct Answer
verified

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.)

Correct Answer
verified

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?

Correct Answer
verified

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?

Correct Answer
verified

Correct Answer
verified

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.

Correct Answerverified123 kg .m/s ,212°

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?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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.)

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedC

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedB

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedShow Answer

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.)

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct Answer
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123 kg .m/s ,212°

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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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?

Correct Answer
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C

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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B

Correct Answer
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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.

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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