a) 40.5 m/sb) Noc) 8.1 kgm/sNEED D) & E) A bullet of mass m = 10 g and speed vo = 540 m/s is fired at a stationary block of mass M= 200 g. Thebullet bounces straight backward with half of its initial speed (v' = 0.5vo). Assume friction between theblock and the surface is negligible.(a) Determine the speed of the block just after the collision.(b) Is the collision elastic? Why?(c) How much the momentum of the block has changed? (AP block)(d) If collision lasts for 20 us (At = 20×10-6 s), determine magnitude of the average force (Fave.) exerted onthe block by the bullet.Vo(e) Now, suppose the bullet has the speed of vo = 540 m/s before collision and bounces straight backwardwith half of its initial speed (v' = 0.5vo) but the block splits into two pieces. The figure below shows atop view of the collision. If one piece with mass mį = 80 g goes off with a speed of vi = 25 m/s at 01 =37°. At what direction and speed does the other piece travel? (v, and 02)37°

Answered: Image /qna-images/answer/7db4361d-6d23-4f7b-a1e8-7cd1e16376c8.jpg

A bullet of mass m = 10 g and speed vo = 540 m/s is fired at a stationary block of mass M= 200 g. The bullet bounces straight backward with half of its initial speed (v' = 0.5vo). Assume friction between the block and the surface is negligible. (a) Determine the speed of the block just after the collision. (b) Is the collision elastic? Why? (c) How much the momentum of the block has changed? (AP block) (d) If collision lasts for 20 us (At = 20x10-6 s), determine magnitude of the average force (Fave.) exerted on the block by the bullet. Vo (e) Now, suppose the bullet has the speed of vo = 540 m/s before collision and bounces straight backward with half of its initial speed (v' = 0.5vo) but the block splits into two pieces. The figure below shows a top view of the collision. If one piece with mass mį = 80 g goes off with a speed of vi = 25 m/s at 01 = 37°. At what direction and speed does the other piece travel? (v, and 02) 37°

A bullet of mass m = 10 g and speed vo = 540 m/s is fired at a stationary block of mass M= 200 g. The bullet bounces straight backward with half of its initial speed (v' = 0.5vo). Assume friction between the block and the surface is negligible. (a) Determine the speed of the block just after the collision. (b) Is the collision elastic? Why? (c) How much the momentum of the block has changed? (AP block) (d) If collision lasts for 20 us (At = 20x10-6 s), determine magnitude of the average force (Fave.) exerted on the block by the bullet. Vo (e) Now, suppose the bullet has the speed of vo = 540 m/s before collision and bounces straight backward with half of its initial speed (v' = 0.5vo) but the block splits into two pieces. The figure below shows a top view of the collision. If one piece with mass mį = 80 g goes off with a speed of vi = 25 m/s at 01 = 37°. At what direction and speed does the other piece travel? (v, and 02) 37°

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 47AP: A 0.500-kg sphere moving with a velocity expressed as (2.00i3.00j+1.00k)m/s strikes a second,...

See similar textbooks

Similar questions

A particle of mass m moving along the x-axis with a velocity component +u collides head-on and sticks to a particle of mass m/3 moving along the x-axis with the velocity component −u. What is the mass M of the resulting particle?
Two skateboarders, with masses m1 = 75.0 kg and m2 = 65.0 kg, simultaneously leave the opposite sides of a frictionless half-pipe at height h = 4.00 m as shown in Figure P11.49. Assume the skateboarders undergo a completely elastic head-on collision on the horizontal segment of the half-pipe. Treating the skateboarders as particles and assuming they dont fall off their skateboards, what is the height reached by each skateboarder after the collision? FIGURE P11.49
Initially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in Figure P11.40. They are released from rest simultaneously and collide elastically in the trough of the track. If m2 = 4 m1, m1 = 0.045 kg, and h = 0.65 m, what is the velocity of each ball after the collision?
A 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a 1-kg object that is initially at rest. The velocity of the 1-kg object after the collision is (a) greater than 4 m/s, (b) less than 4 m/s, (c) equal to 4 m/s, (d) zero, or (e) impossible to say based on the information provided.
A car crashes into a large tree that does not move. The car goes from 30 m/s to 0 in 1.3 m. (a) What impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) What is the average force applied to the driver by the seatbelt?
A ball of mass 250 g is thrown with an initial velocity of 25 m/s at an angle of 30 with the horizontal direction. Ignore air resistance. What is the momentum of the ball after 0.2 s? (Do this problem by finding the components of the momentum first, and then constructing the magnitude and direction of the momentum vector from the components.)
A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.
A head-on, elastic collision occurs between two billiard balls of equal mass. If a red ball is traveling to the right with speed v and a blue ball is traveling to the left with speed 3v before the collision, what statement is true concerning their velocities subsequent to the collision? Neglect any effects of spin. (a) The red ball travels to the left with speed v, while the blue ball travels to the right with speed 3v. (b) The red ball travels to the left with speed v, while the blue ball continues to move to the left with a speed 2v. (c) The red ball travels to the left with speed 3v, while the blue ball travels to the right with speed v. (d) Their final velocities cannot be determined because momentum is not conserved in the collision. (e) The velocities cannot be determined without knowing the mass of each ball.
What exhaust speed is required to accelerate a rocket in deep space from 800 m/s to 1000 m/s in 5.0 s if the total rocket mass is 1200 kg and the rocket only has 50 kg of fuel left?
If a rainstorm drops 1 cm of rain over an area of 10km2 in the period of 1 hour, what is the momentum of the rain that falls in one second? Assume the terminal velocity of a raindrop is 10 m/s.
Initially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in Figure P11.40. They are released from rest simultaneously and collide in the trough of the track. If m2 = 4 m1 and the collision is elastic, find an expression for the velocity of each ball immediately after the collision. FIGURE P11.40 Problems 40 and 41.
A 100-g firecracker is launched vertically into the air and explodes into two pieces at the peak of its trajectory. If a 72-g piece is projected horizontally to the left at 20 m/s, what is the speed and direction of the other piece?