Question

A spring with no mass whose length= L and a spring constant is k stands vertically on the ground. A mass m is dropped from a height h (h>L) so that it lands on top of the spring. Express your answers in terms of the given variables and the gravitational acceleration g.

(a) What is the speed of the mass when it just reaches the spring?

(b) What is the maximum compression (change in length) of the spring?

Answer #1

A ball of mass m is resting on top of a vertical
spring, with spring constant k and equilibrium length
L. The spring is secured to the ground.
a) Draw a free-body diagram for the ball.
b) The ball rests at a height that is not equal to L.
Find the equilibrium height of the ball.
c) Find an expression for the compression required to launch the
ball to a height h from the ground. Write this compression in terms...

A spring of negligible mass has force constant k = 1800
N/m .
You place the spring vertically with one end on the floor. You
then drop a book of mass 1.40 kg onto it from a height of 0.900 m
above the top of the spring. Find the maximum distance the
spring will be compressed.
Take the free fall acceleration to be 9.80 m/s2 . Express your
answer using two significant figures.

Consider a block attached to one end of an ideal spring with
spring constant k=10 N/m. The other end of the spring is fixed to
the ceiling. The block is moving vertically with simple harmonic
oscillations. During the oscillations, the speed of the block
reaches a maximum value of 10 m/s and the maximum acceleration of
the block is 50 m/s2.
What is the mass of the block? Express your answer in
units of kg, but enter only the numeric...

A spring of negligible mass has a force constant k=1600N/m. You
place the spring vertically with one end on the floor. You then
drop a 1.20-kg book onto it from a height of 0.800 m above the top
of the spring. The magnitude for the impulse needed to stop the
falling book by the compressed spring would?
o Increase by the same amount
o Increase by 4 times as much if the height is doubled
o Double if the height...

The initial compression of the spring is 0.1 m, the spring constant
is k=350 N/m and the mass of the ball is 20 g. Find the maximum
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A spring-loaded dart gun with spring constant k
shoots a dart straight up. The spring has an initial compression
x and is released from rest. The dart reaches a
maximum height h. If we wanted the dart to go four
times as high, how much should we compress the spring?
x
2x
4x
16x

A spring with k=45 N/m is oriented vertically with one end fixed
to the ground. A 0.5 kg mass on top of the spring compresses
it.
1. Provide a conceptual explanation of what is happing for each
of the following cases :
a. You hold the mass while you gently compress the spring, and
when you release the mass it sits at rest atop the spring.
b. You place the mass on the uncompressed spring and release
it.
c. You...

A 220 g stone is dropped onto a relaxed vertical spring that
has a spring constant of k = 4.5 N/cm. The stone becomes attached
to the spring and compresses the spring 17 cm before momentarily
stopping. While the spring is being compressed, what work is done
on the stone by (a) the gravitational force on it and (b) the
spring force? (c) What is the speed of the stone just before it
hits the spring? (Assume no friction) (d)...

1. A 0.45 kg object mass attached to a spring whose
spring constant is 600 n/m executes simple harmonic motion. its
maximum speed is 3.0 m/s the maximum acceleration is:

A 100 g block is dropped onto a relaxed vertical spring that has
a spring constant of k = 3.6 N/cm (see the figure). The block
becomes attached to the spring and compresses the spring 18 cm
before momentarily stopping. While the spring is being compressed,
what work is done on the block by (a) the gravitational force on it
and (b) the spring force? (c) What is the speed of the block just
before it hits the spring? (Assume...

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