A spring has a natural length of 24 cm. If a 27-N force is
required to...
A spring has a natural length of 24 cm. If a 27-N force is
required to keep it stretched to a length of 30 cm, how much work W
is required to stretch it from 24 cm to 27 cm? Round your answer to
two decimal places. W = J
A spring has a natural length of 50cm. If a 60N force is
required to keep the spring compressed 20cm, how much work is done
during this compression? How much work is required to compress the
spring to a length of 25cm?
A certain spring is compressed 0.2 metres from its natural
length by a force of 0.02 newtons. A 0.1 kilogram mass is attached
to this spring. There is no damping, and the mass is acted on by an
external force of 0.05 cos(0.8 t) newtons, where t is measured in
seconds. At t = 0, the mass is released, at rest, from its rest
(equilibrium) position.
(a) Set up and solve the initial value problem for the
displacement x(t) of...
A spring is compressed by 15 cm, which requires 150 N of force.
What is the spring constant of the spring? How much potential
energy is stored in the spring? A 20 kg box is attached to the
spring. This arrangement is placed such that the spring is
horizontal and the box will slide along a frictionless, horizontal
track. What is the maximum speed of the box after the spring is
released?
A spring of negligible mass stretches 3.00 cm from its relaxed
length when a force of 6.60 N is applied. A 0.400-kg particle rests
on a frictionless horizontal surface and is attached to the free
end of the spring. The particle is displaced from the origin to x =
5.00 cm and released from rest at t = 0. (Assume that the direction
of the initial displacement is positive. Use the exact values you
enter to make later calculations.) (a)...
A light spring of force constant 4.45 N/m is compressed by 8.00
cm and held between a 0.250 kg block on the left and a 0.450 kg
block on the right. Both blocks are at rest on a horizontal
surface. The blocks are released simultaneously so that the spring
tends to push them apart. Find the maximum velocity each block
attains if the coefficient of kinetic friction between each block
and the surface is the following. In each case, assume...
A spring (70 N/m ) has an equilibrium length of 1.00 m. The
spring is compressed to a length of 0.50 m and a mass of 2.2 kg is
placed at its free end on a frictionless slope which makes an angle
of 41 ? with respect to the horizontal. The spring is then
released. (Figure 1)
Part A
If the mass is not attached to the spring, how far up the slope
from the compressed point will the mass move...
A horizontal spring with a spring constant of 190 N/cm is
compressed 6.3 cm. A wooden block with a mass of 1.5 kg is placed
in front of and in contact with the spring. When the spring is
released it pushes the block, which slides on a frictionless
horizontal surface for some distance. The block then slides up a
frictionless incline of 27 above the horizontal and comes to a
momentary stop before sliding back down. The system is the...
A horizontal spring with a spring constant of 190 N/cm is
compressed 6.3 cm. A wooden block with a mass of 1.5 kg is placed
in front of and in contact with the spring. When the spring is
released it pushes the block, which slides on a frictionless
horizontal surface for some distance. The block then slides up a
frictionless incline of 27 above the horizontal and comes to a
momentary stop before sliding back down. The system is the...
A horizontal spring with a spring constant of 190 N/cm is
compressed 6.3 cm. A wooden block with a mass of 1.5 kg is placed
in front of and in contact with the spring. When the spring is
released it pushes the block, which slides on a frictionless
horizontal surface for some distance. The block then slides up a
frictionless incline of 27 degrees above the horizontal and comes
to a momentary stop before sliding back down. The system is...
An
unstretched spring is 30 cm long. When the spring is stretched to a
total length of 60cm, it supports transverse waves moving at 4.5
m/s. How fast will waves travel in this spring if it is stretched
to 90cm?