A block of mass m is dropped onto a relaxed vertical spring with spring constant k (see the figure). The block becomes attached to the spring and compresses the spring a distance d before momentarily stopping. Assuming that friction is negligible, while the spring is being compressed, what work is done on the block by (a) the gravitational force on it? W = mgd (b) the spring force? W = - k d² 2 (c) What is the speed of the block just before it hits the spring? v = 2 gd k d² ✓ m

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
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 3P: A block of mass m = 2.50 kg is pushed a distance d = 2.20 m along a frictionless, horizontal table...
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A block of mass m is dropped onto a relaxed vertical spring with
spring constant k (see the figure). The block becomes attached to
the spring and compresses the spring a distance d before momentarily
stopping.
Assuming that friction is negligible, while the spring is being
compressed, what work is done on the block by
(a) the gravitational force on it?
W
=
mg d
(b) the spring force?
W =
1
k d²
2
(c) What is the speed of the block just before it hits the spring?
v =
2gd-
k d²
✓
m
| NOTE: State your answers in terms of the given variables and g.
Transcribed Image Text:A block of mass m is dropped onto a relaxed vertical spring with spring constant k (see the figure). The block becomes attached to the spring and compresses the spring a distance d before momentarily stopping. Assuming that friction is negligible, while the spring is being compressed, what work is done on the block by (a) the gravitational force on it? W = mg d (b) the spring force? W = 1 k d² 2 (c) What is the speed of the block just before it hits the spring? v = 2gd- k d² ✓ m | NOTE: State your answers in terms of the given variables and g.
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