A 2575 kg van runs into the back of an 925 kg compact car at rest. Immediately afterward the two vehicles move off together at 3.5 m/s. (a) Find the initial speed of the van. (b) Supposing the duration of the impact is between 0.10 and 0.50 seconds, calculate a range of values for the force of impact acting on the car.

Q: A 0.400 kg hammer is moving horizontally at 4.50 m/s when it strikes a nail and comes to rest after…

A: Time =4.44 ×10-3 s Force = 405.4 N

Q: In a pool game, the cue ball, which has an initial speed of 3.0 m/s, make an elastic collision with…

A:

Q: 13. A bullet of mass m is shot into a wooden block of mass M initially at rest on a frictionless…

A: Given data as per question m   =  mass of bullet M  =   mass of wooden block

Q: A 44.3-kg girl is standing on a 154-kg plank. Both originally at rest on a frozen lake that…

A:

Q: A 45.4-kg girl is standing on a 149-kg plank. Both originally at rest on a frozen lake that…

A: m= 45.4 kg , u = 1.52i m/s  M= 149kg

Q: A 3.50 x 105 kg tugboat is traveling south at 4.20 m/s and attaches itself to a stationary barge…

A: Given: The mass of the tugboat is 3.5x105 kg. The initial velocity of the tugboat is 4.2 m/s toward…

Q: A 70.0 kg man and his 40.0 kg daughter on skates stand together on a frozen lake. If they push apart…

A: To calculate the velocity of the daughter. Given:Mass of man: Mm=70.0 kgMass of daughter: Md=40.0…

Q: A 0.140 kg baseball is traveling toward home plate.  A batter hits the ball with a force of 2,915 N…

A:

Q: An incoming tennis ball (mass .060 kg) has a speed of 14m/s. The player hits the ball with a racquet…

A:

Q: A 41.5-kg person, running horizontally with a velocity of +2.19 m/s, jumps onto a 18.3-kg sled that…

A: As no external forces act on the system, the total momentum of the system is conserved. That is the…

Q: A 70.1 kg astronaut is holding a 8.1 kg tool pack while drifting at 10.4 m/s to the right. She…

A: Given data: The mass of astronaut is m=70.1 kg. Mass of tool pack is M=8.1 kg. Velocity of both is…

Q: A car with a mass of 1000 kg collides perpendicular to the wall at a speed of 20 m/s and then…

A: Given,  Mass of car (m)= 1000kg  Speed of car before collision (u)= 20m/s (right side )  Speed of…

Q: Boxes A, B, and C are identical. Both B and C are initially at rest when box B is struck by box A,…

A:

Q: 10. Block 1 with a mass of 1.0 kg slides down a frictionless ramp with a height of 3.0 m and…

A:

Q: 10. Block 1 with a mass of 1.0 kg slides down a frictionless ramp with a height of 3.0 m and…

A:

Q: 1. A bullet with mass 30 g travels horizontally at a speed of 500 m/s. It strikes a block of Jell-O…

A: Given: Mass of bullet = m = 30 gInitial speed of bullet = u = 500 m/sMass of Jell-o = M = 30…

Q: 7. A 0.210 kg softball is pitched to you at 34.0 m/s. You hit the ball back along the same path, and…

A:

Q: the magnitude of the average force applied to the ball?

A:

Q: A 45.4-kg girl is standing on a 143-kg plank. Both originally at rest on a frozen lake that…

A:

Q: Your little sister is practicing hitting a baseball. The baseball has a mass of 0.145 kg, and is at…

A: Given: In this question, the given details are, Your little sister is practicing hitting a baseball.…

Q: Two ice skaters push off against one another starting from a stationary position. The 54.1-kg skater…

A:

Q: A 3.039E+3-kg truck moving east at 10.4 m/s collides with a 1.808E+3-kg car moving west at 55.0 m/s.…

A: Given: Mass of truck, M=3.039×103-kg moving east at speed  U = 10.4 m/s  Mass of car, m=1.808×103-kg…

Q: A 44.4-kg girl is standing on a 143-kg plank. Both originally at rest on a frozen lake that…

A:

Q: suppose that car 1 has a mass of 0.301+-0.0001kg, and initial speed of 2.12+-0.03 m/s in the…

A: The objective of the question is to determine whether momentum is conserved in the collision of two…

Q: What is the speed of the garbage truck, in meters per second, just after it hits and adheres to a…

A: mass of truck m1 = 1.5 x 104 kg  velocity of truck before collision u1 = 25 m/s  mass of trash m2 =…

Q: A rocket is fired in a gravity-free environment in deep space. The rocket has an initial mass of…

A: Given: Initial mass, m=9000 kg Velocity, v=2375 m/s Acceleration, a=49.50 m/s2 Time, t=2 s

Q: During an ice skating performance, an initially motionless 79.5-kg clown throws a fake barbell away…

A: Given information: The mass of the clown (M) = 79.5 kg The recoil speed of the clown (V) = 0.51 m/s…

Q: A 0.0055-kg shuttlecock moving to the left with a speed of 40.0 m/s is struck by a badminton racket…

A: Given mass of the shuttlecock m= 0.0055 kg Intial velocity u=40m/s Final velocity v= -65m/s (Taking…

Q: 3. A duck has a mass of 21bm and is flying due west at 10 ft/s. The duck is struck by a bullet with…

A: It is given that, The mass of the bird, M =2 lbm =2 lbm ×1 kg2.205 lbm= 0.907 kg The velocity of the…

Q: A 72-kg boy and a 48- kg girl, both wearing ice skates face each other at rest on a skating rink.…

A:

Q: A 70.9-kg boy and a 43.2-kg girl, both wearing skates face each other at rest on a skating rink. The…

A: Given that,Mass of boy : m = 70.9 kgand,Mass of girl : M = 43.2 kgHere,Initial velocity= 0Initial…

Q: .A 1500-N force is required to raise an aluminum slab (the density of aluminum is 2700 kg/m3 ) to a…

A: Given: Upward force required, F = 1500 N density of aluminum, d = 2700 kg/m3 density of water = 1000…

Q: A 66.3-kg person, running horizontally with a velocity of +3.51 m/s, jumps onto a 12.5-kg sled that…

A: a. according to the conservation of momentum, So the final velocity of sled and person is 2.95 m/s.…

Q: Two balls, A and B, each of mass 1.0 kg, initially travel at the velocities VA = (10î + 20j ) m/s…

A:

Q: A 14.4-g wad of sticky clay is hurled horizontally at a 71-g wooden block initially at rest on a…

A:

Q: A 0.05 kg ball strikes a wall with a velocity v1 = -25 m/s and bounces back with a velocity v2 =5…

A: When a force F acts on an object for a very short span of time , then the impulse imparted to the…

Q: A 52.1-kg person, running horizontally with a velocity of +4.62 m/s, jumps onto a 14.7-kg sled that…

A: Mass of person(M)=52.1kg velocity of person (vp )=4.62 m/smass of sled (m)=14.7 kg initially sled is…

Q: Male bighorn sheep (120 kg ) engage in head-butting contests to establish dominance. High-speed…

A: We can use the impulse-momentum theorem to solve this problem. The impulse-momentum theorem states…

Q: A 55.9-kg person, running horizontally with a velocity of +4.89 m/s, jumps onto a 11.6-kg sled that…

A: