A 4.40 kg steel ball is dropped onto a copper plate from a height of 10.0 m. If the ball leaves a dent 2.75 mm deep, what is the average force exerted by the plate on the ball during the impact?N

Answered: A 4.40 kg steel ball is dropped onto a…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 36PQ

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Usually, we do not walk or even stand on a lightweight boat or raft because of the danger of falling into the water. If you have ever stepped off a small boat onto a dock, however, you have probably noticed that the boat moves away from the dock as you step toward the dock or out of the boat. A heavy dog running on a long lightweight raft presents a similar situation. At first, the raft and the dog are at rest with respect to the water (Fig. P10.38A) so that vi=0. The dog then runs on top of the raft at vd=vd with respect to the water (Fig. P10.38B). The dog has twice the mass of the raft. Find an expression for the velocity of the raft after the dog began running. FIGURE P10.38
A suspicious physics student watches a stunt performed at an ice show. In the stunt, a performer shoots an arrow into a bale of hay (Fig. P11.24). Another performer rides on the bale of hay like a cowboy. After the arrow enters the bale, the balearrow system slides roughly 5 m along the ice. Estimate the initial speed of the arrow. Is there a trick to this stunt? FIGURE P11.24
In Figure P11.51, a cue ball is shot toward the eight-ball on a pool table. The cue ball is shot at the eight-ball with a speed of 8.00 m/s in a direction 30.0 from the y axis. Both balls have the same mass of 0.170 kg. After the balls undergo an elastic collision, the eight-ball travels in the negative x direction into the side pocket. What is the velocity of the cue ball after this collision? FIGURE P11.51
An object of mass m = 4.00 kg that is moving with a speed of 10.0 m/s collides head-on with another object, and the collision lasts 1.50 s. A graph showing the magnitude of the force during the collision versus time is shown in Figure P11.59, where the force is exerted in the direction opposite the initial velocity. Find the speed of the 4.00-kg mass after collision. FIGURE P11.59
A spring-loaded toy gun is aimed vertically and fired after a spherical projectile of mass m = 30.0 g is loaded by compressing the spring with force constant k = 825 N/m a distance of 9.00 cm. As the projectile travels a total distance of 59.0 cm along the barrel of the gun, it experiences a friction force of 1.75 N. What is the height reached by the projectile above its initial location with the spring compressed?
The space shuttle uses its thrusters with an exhaust velocity of 4440 m/s. The shuttle is initially at rest in space and accelerates to a final speed of 1.00 km/s. a. What percentage of the initial mass of the shuttle (including the full fuel tank) must be ejected to reach that speed? b. If the mass of the shuttle and fuel is initially 1.85 106 kg, how much fuel is expelled?
Latoya, sitting on a sled, is being pushed by Dewain on the horizontal surface of a frozen lake. Dewain slips and falls, giving the sled one final push, and the sled comes to rest 9.50 s later. The speed of the sled after the final push is 4.00 m/s, and the combined mass of the sled and Latoya is 32.5 kg. Using a momentum approach, determine the magnitude of the average friction force acting on the sled during this interval.
N A bomb explodes into three pieces A, B, and C of equal mass. Piece A flies with a speed of 40.0 m/s, and piece B with a speed of 30.0 m/s at an angle of 90° relative to the direction of A as shown in Figure P11.57. Determine the speed of piece C and the direction of its velocity relative to the direction of piece A.
In an attempt to produce exotic new particles, a proton of mass mp = 1.67 1027 kg is accelerated to 0.99c (c = 3.00 108 m/s is the speed of light) and crashed into a helium nucleus of mass mHe = 6.64 1027 kg initially at rest. The collision is elastic. a. What is the kinetic energy of the helium nucleus after the collision? b. What is the kinetic energy of the proton after the collision? (In Chapter 39, well learn what Einstein says about making such calculations.)
Return to Example 9.9 and use the result to find the tension in the rope. Example 9.9 Snow Tubing At a winter recreation resort, snow tubers at the bottom of the hill hook their tubes to a tow rope. A motor pulls the rope so that tubers move at constant velocity to the top of the hill. (Ignore the momentary acceleration of the tuber when he first attaches his tube to the rope.) The coefficient of kinetic friction between the tube and the snow is k = 0.16. A boy and his tube with a total weight of 415 N are pulled a distance of 255 m up the 18 incline (Fig. 9.29). Consider the Earth, the boy, his tube, and the snow along his path to make up the system. Find the energy transferred from the motor to the system via the work done by the rope. FIGURE 9.29
A crate of mass M is initially at rest on a frictionless, level table. A small block of mass m (m M) moves toward the crate as shown in Figure P10.31. Later, the block and crate are stuck together and are moving with some final speed. The momentum of the blockcrate system is the same both before and after the collision. Is the magnitude of the change in momentum of the crate greater than, less than, or equal to the magnitude of the change in the momentum of the block? Explain. FIGURE P10.31
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A 4.40 kg steel ball is dropped onto a copper plate from a height of 10.0 m. If the ball leaves a dent 2.75 mm deep, what is the average force exerted by the plate on the ball during the impact? N