Combining Conservation Laws. A 15.0-kg block is attached to a very light horizontal spring of force constant 500.0 N/m and is resting on a frictionless horizontal table. (Fig. E8.44). Suddenly it is struck by a 3.00-kg stone traveling hor- izontally at 8.00 m/s to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left. Find the maximum distance that the block will compress the spring after the collision. 8.44 Figure E8.44 15.0 kg 3.00 kg 8.00 m/s www

Combining Conservation Laws. A 15.0-kg block is attached to a very light horizontal spring of force constant 500.0 N/m and is resting on a frictionless horizontal table. (Fig. E8.44). Suddenly it is struck by a 3.00-kg stone traveling hor- izontally at 8.00 m/s to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left. Find the maximum distance that the block will compress the spring after the collision. 8.44 Figure E8.44 15.0 kg 3.00 kg 8.00 m/s www

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 60P: A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected...

See similar textbooks

Similar questions

A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers vertically aligned, both balls are released from rest at the same time, falling through a distance of 1.20 m, as shown in Figure P6.45. (a) Find the magnitude of the basketballs velocity the instant before the basketball reaches the ground. (b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball so that it collides with the tennis ball just above it. To what height does the tennis ball rebound? Figure P6.45
An bullet of mass m = 8.00 g is fired into a block of mass M = 250 g that is initially at rest at the edge of a table of height h = 1.00 m (Fig. P6.42). The bullet remains in the block, and after the impact the block lands d = 2.00 m from the bottom of the table. Determine the initial speed of the bullet. Figure P6.42
A 65.0-kg basketball player jumps vertically and leaves the floor with a velocity of 1.80 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 65.0-kg basketball player jumps vertically and leaves the floor with a velocity of 1.80 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 28000-kg open railroad car, initially coasting at 0.775 m/s with negligible friction, passes under a hopper that dumps 110000 kg of scrap metal into it.
A tennis ball of mass 57.0 g is heldjust above a basketball of mass 590 g. Withtheir centers vertically aligned, both ballsare released from rest at the same time,falling through a distance of 1.20 m, asshown in Figure P6.45. (a) Find the magnitudeof the basketball’s velocity theinstant before the basketball reaches theground. (b) Assume that an elastic collision with the groundinstantaneously reverses the velocity of the basketball so that itcollides with the tennis ball just above it. To what height doesthe tennis ball rebound?
A small block of mass m 1 = 0.500 kg is released from rest atthe top of a curved wedge of mass m 2 =3.00 kg, which sits ona frictionless horizontal surface as in Figure P6.73a. When theblock leaves the wedge, its velocity is measured to be 4.00 m/sto the right, as in Figure P6.73b. (a) What is the velocity ofthe wedge after the block reaches the horizontal surface? (b)What is the height h of the wedge?
A 29500-kg open railroad car, initially coasting at 0.725 m/s with negligible friction, passes under a hopper that dumps 102500 kg of scrap metal into it. What is the final speed, in meters per second, of the loaded freight car? How much kinetic energy is lost, in joules, when the freight car receives this scrap metal? Ignore the free-fall kinetic energy of the scrap metal.
A 0.145-kg baseball is dropped from rest. If the magnitude of thebaseball’s momentum is 1.55 kg # m>s just before it lands on theground, from what height was it dropped?
A 75 - kg fisherman in a 125 - kg boat throws a package of mass m =15 kg horizontally toward the right with a speed of vi = 4.5 m/s as in Figure P6.26. Neglecting water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat after the package is thrown.
A 75-kg fisherman in a 125-kg boat throws a package of mass m = 15 kg horizontally toward the right with a speed of vi = 4.5 m/s as in Figure P6.26. Neglecting water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat after the package is thrown.
A woodblock of mass Mw = 200 g is projected from the ground at a speed v0 = 35 m/s and at an angle, θ0 = 50º. When at height h = 24 m the woodblock was hit by a bullet of mass Mb = 25 g which was moving at vb = 220 m/s and at an angle θb = 70º. After the collision, the bullet embedded itself in the block and move together and land at point A on the ground. Then they move on the ground that has a coefficient of kinetic friction µk = 0.5 and starts to compress a horizontal spring at point B. The distance between point A and B is 18 m and the spring constant k = 3×10^2 N/m. The right end of the spring is fixed, and all motions are confined in x-y plane. (a) Was the collision between the wood block and the bullet elastic or inelastic? Explain quantitively. (b) Find the maximum height from the ground the block with the bullet reached. (c) How far is point A from the launch point of the woodblock? (d) Calculate the velocity at which the block-bullet system lands at point A. What…