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In this lesson, we will learn how to apply Hooke's law and elastic potential energy to situations that involve both kinematics and forces acting on springs.
An archer pulls the string of a bow back by 0.50 m,
creating a tension of 150 N in the string.
The mass of the arrow is 0.050 kg and the bowstring’s mass is negligible.
What is the speed of the arrow after the bowstring is released and has returned to its equilibrium length?
Assume that the force of the stretched bowstring on the arrow behaves like the force exerted by an extended spring and assume air resistance is negligible.
In the Hunger Games movie, Katniss Everdeen fires a
0.0200-kg arrow from ground level to pierce
an apple up on a stage. The spring constant of the bow is
and she pulls the arrow back
a distance of
The apple on the stage is
higher than the launching point of the arrow.
At what speed does the arrow leave the bow?
At what speed does the arrow strike the apple?
In the reality television show “Amazing Race,” a contestant is firing
12-kg watermelons from a slingshot to hit targets down the field. The slingshot is
pulled back 1.5 m and the
watermelon is considered to be at ground level. The launch point is
0.30 m from the ground
and the targets are 10 m
horizontally away. Calculate the spring constant of the slingshot.
When a 3.0 kg block is pushed against a massless
spring of force constant
spring is compressed 8.0 cm. The block is released, and it
slides 2.0 m
(from the point at which it is released) across
a horizontal surface before friction stops it. What is the
coefficient of kinetic friction between the block and the
Two 8.00 kg masses are connected to
each other by a spring with a force constant of 25.0 N/m and a rest length of
1.00 m. The spring has been
compressed to 0.900 m in length. The masses travel toward each other, and
each mass moves at 0.500 m/s. What is
the total energy in the system?
A toy gun uses a spring with a force
to propel a
12.0 g steel ball.
The spring is compressed
and friction is negligible.
How much force is needed to compress the
To what maximum height can the ball be
At what angles above the horizontal may a
child aim to hit a target
away at the same height as the gun?
What is the gun’s maximum range on level
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