1) A 0.900 kg block is attached to a spring with spring constant 13.0 N/m. While
ID: 1987490 • Letter: 1
Question
1) A 0.900 kg block is attached to a spring with spring constant 13.0 N/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 50.0 cm/s. What are the amplitude of the subsequent oscillations? And what is the block's speed when x=0.700A?
2) A 1.06 kg. block is attached to a horizontal spring with spring constant 2100 N/m. The block is at rest on a frictionless surface. A 12 g. bullet is fired into the block, in the face opposite the spring, and sticks. What was the bullet's speed if the subsequent oscillations have an amplitude of 12.1 cm?
Explanation / Answer
1)
mass m = 0.9 kg
k = 13 N/m
k = m2
13 = 0.9 2
= 3.8 rad/s
velocity at mean positon will be Vmax = A
0.50 = A * 3.8
amplitude A = 0.1316 m = 13.16 cm
at x= 0.70 A,
velocity, V = * A2 - (0.7 A)2 = * A * 1- 0.49
= 0.50 * 0.71414
= 0.35707 m/s = 35.71 cm/s
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