Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 10, Problem 40PQ
There is a compressed spring between two laboratory carts of masses m1 and m2. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity
a. What is the net external force on the two-cart spring system?
b. Find an expression for the velocity of cart 2.
c. Sometimes, mistakes are made in a laboratory. For example, what changes in parts (a) and (b) if the track is not level as shown in Figure P10.40C? Explain your answer.
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Consider again the situation in number 2 for the following:
Van Helsing shoots a 150g stake from a crossbow. Find the stake’s speed if we treat the crossbow as a spring with k = 600N/m that is drawn back 22cm.
a. If the stake takes 0.06s to launch, what is the average force from the crossbow on the bolt?
b. If he releases the 2kg crossbow when it fires, what is the recoil speed of the crossbow?
c. If the stake rises to a height of 4m, what is its velocity at the peak of its trajectory?
A block of mass m1 = 1.47 kg, initially moving to the right with a velocity of +3.90 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.02 kg moving to the left with a velocity of
−2.46 m/s,
as shown in Figure a. The spring has a spring constant of 5.83 102 N/m.
(a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s, as shown in Figure b. (Indicate the direction with the sign of your answer.) m/s(b) Find the compression of the spring. m
Consider the instant that block 2 is at rest.
(a) Find the velocity of block 1. (Indicate the direction with the sign of your answer.)v1f = m/s(b) Find the compression of the spring.x = m
A block of mass m1 = 1.47 kg, initially moving to the right with a velocity of +3.90 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.02 kg moving to the left with a velocity of
−2.46 m/s,
as shown in Figure a. The spring has a spring constant of 5.83 102 N/m.
(a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s, as shown in Figure b. (Indicate the direction with the sign of your answer.) -1.805 m/s(b) Find the compression of the spring.0.159 m
Use the values from PRACTICE IT to help you work this exercise. Consider the instant that block 2 is at rest.
(a) Find the velocity of block 1. (Indicate the direction with the sign of your answer.)v1f = m/s(b) Find the compression of the spring.x = m
Chapter 10 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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