2. An empty (assume massless) crate is on top of a stiff spring when a 5 kg bowling ball is placed slowly into the crate. The spring compresses 10 cm and the ball is at rest. a. What is the spring's spring constant? b. Another bowling ball (m₂-10 kg) is slowly added to the crate. How much further does the crate drop? c. At this point (with two bowling balls in the crate), the crate is 1 meter above the ground. What is the entire potential energy of the two bowling balls? Include both elastic and gravitational potential energy. d. One of the bowling balls just barely rolls out of the crate. What happens to the remaining bowling ball in the crate? e. At what velocity does the ball which fell out of the crate hit the ground? f. How high above the ground will the second bowling ball (the one that stayed in the crate) go?

2. An empty (assume massless) crate is on top of a stiff spring when a 5 kg bowling ball is placed slowly into the crate. The spring compresses 10 cm and the ball is at rest. a. What is the spring's spring constant? b. Another bowling ball (m₂-10 kg) is slowly added to the crate. How much further does the crate drop? c. At this point (with two bowling balls in the crate), the crate is 1 meter above the ground. What is the entire potential energy of the two bowling balls? Include both elastic and gravitational potential energy. d. One of the bowling balls just barely rolls out of the crate. What happens to the remaining bowling ball in the crate? e. At what velocity does the ball which fell out of the crate hit the ground? f. How high above the ground will the second bowling ball (the one that stayed in the crate) go?

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Description: how to do? 2. An empty (assume massless) crate is on top of a stiff spring when a 5 kg bowling ball isplaced slowly into the crate. The spring compresses 10 cm and the ball is at rest.a. What is the spring's spring constant?b. Another bowling ball (m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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how to do?

2. An empty (assume massless) crate is on top of a stiff spring when a 5 kg bowling ball is
placed slowly into the crate. The spring compresses 10 cm and the ball is at rest.
a. What is the spring's spring constant?
b. Another bowling ball (m₂-10 kg) is slowly added to the crate. How much further does the
crate drop?
c. At this point (with two bowling balls in the crate), the crate is 1 meter above the ground.
What is the entire potential energy of the two bowling balls? Include both elastic and
gravitational potential energy.
d. One of the bowling balls just barely rolls out of the crate. What happens to the remaining
bowling ball in the crate?
e. At what velocity does the ball which fell out of the crate hit the ground?
f. How high above the ground will the second bowling ball (the one that stayed in the crate)
go?

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Problem 4: Speed deamplifier. In the figure above on the right, block 1 of mass m1 slides along an x-axis on a frictionless floor at speed 4 m/sec.Then it undergoes a one-dimensional elastic collision with stationary block 2 of mass m2 = 2m1. Next, block 2 undergoes a one-dimensional elastic collision with stationary block 3 of mass mz = 4m1. What then is the speed of block 3? Answer: 16 m/sec or 1.78 m/sec.