Question

A 28 kg block on a horizontal surface is attached to a horizontal spring of spring constant k = 4.8 kN/m. The block is pulled to the right so that the spring is stretched 7.2 cm beyond its relaxed length, and the block is then released from rest. The frictional force between the sliding block and the surface has a magnitude of 37 N. (a) What is the kinetic energy of the block when it has moved 1.6 cm from its point of release? (b) What is the kinetic energy of the block when it first slides back through the point at which the spring is relaxed? (c) What is the maximum kinetic energy attained by the block as it slides from its point of release to the point at which the spring is relaxed?

Answer #1

. A block of mass 2.00 kg is attached to a horizontal spring
with a force constant of 500 N/m. The spring is stretched 5.00 cm
from its equilibrium position and released from rest. Use
conservation of mechanical energy to determine the speed of the
block as it returns to equilibrium
(a) if the surface is frictionless
(b) if the coefficient of kinetic friction between the block and
the surface is 0.350

A 2.90 kg block on a horizontal floor is attached to a
horizontal spring that is initially compressed 0.0340 m . The
spring has force constant 850 N/m . The coefficient of kinetic
friction between the floor and the block is 0.42 . The block and
spring are released from rest and the block slides along the
floor.
Part A
What is the speed of the block when it has moved a distance of
0.0190 m from its initial position?...

A 3.0-kg block sliding on a frictionless horizontal surface is
accelerated by a compressed spring. If the 200 N/m spring is
initially compressed 10 cm, determine (a) the potential energy
stored in the spring. As the block leaves the spring, find (b) the
kinetic energy of the block, and (c) the velocity of the block.

A 0.019 kg block on a horizontal frictionless surface is
attached to a string whose spring/force/elastic constant k is 120
N/m. The block is pulled from its equilibrium position at x=0 m to
a displacement x=+0.080 m and is released from rest. The block then
executes simple harmonic motion along x-axis (horizontal). When the
displacement is x=0.051 m, what is the kinetic energy of the block
in J?

1.A 1.10 kg block sliding on a horizontal frictionless surface
is attached to a horizontal spring with k = 490 N/m. Let
x be the displacement of the block from the position at
which the spring is unstretched. At t = 0 the block passes
through x = 0 with a speed of 3.40 m/s in the positive
x direction. What are the (a) frequency
and (b) amplitude of the block's motion
2.A vertical spring stretches 13 cm when a...

A 2.5-kg block is sliding along a rough horizontal surface and
collides with a horizontal spring whose spring constant is 320 N/m.
Unstretched, the spring is 20.0 cm long. The block causes the
spring to compress to a length of 12.5 cm as the block temporarily
comes to rest. The coefficient of kinetic friction between the
block and the horizontal surface is 0.25. a) How much work is done
by the spring as it brings the block to rest? b)...

he block in the figure lies on a horizontal frictionless
surface, and the spring constant is 50 N/m. Initially, the spring
is at its relaxed length and the block is stationary at position x
= 0. Then an applied force with a constant magnitude of 4.0 N pulls
the block in the positive direction of the x axis, stretching the
spring until the block stops. When that stopping point is reached,
what are (a) the position of the block, (b)...

Answers + steps
1. A 2.0 kg block sliding on a frictionless horizontal surface
is attached to one end of a horizontal spring (k = 600 N/m) which
has its other end fixed. The speed of the block when the spring is
extended is 0.20 m is equal to 3.0 m/s. What is the maximum speed
of this block as it oscillates? (Or speed when the spring is fully
relaxed?)
2. A 10 kg object is dropped from rest. After...

A block of mass m = 0.53 kg attached to a spring with force
constant 119 N/m is free to move on a frictionless, horizontal
surface as in the figure below. The block is released from rest
after the spring is stretched a distance A = 0.13 m. (Indicate the
direction with the sign of your answer. Assume that the positive
direction is to the right.)
The left end of a horizontal spring is attached to a vertical
wall, and...

You push a 3.2 kg block against a horizontal spring, compressing
the spring by 16 cm. Then you release the block, and the spring
sends it sliding across a tabletop. It stops 62 cm from where you
released it. The spring constant is 170 N/m. What is the
coefficient of kinetic friction between the block and the
table?

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