Question

As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless surface with an initial speed vi= 2.40 m/s when it encounters a spring of constant k = 2350 N/m.

The box comes momentarily to rest after compressing the spring
some amount *x*_{c}. Determine the final
compression *x*_{c} (in m) of the
spring.

Answer #1

A box of unknown mass is sliding with an initial speed
vi = 5.70 m/s
across a horizontal frictionless warehouse floor when it
encounters a rough section of flooring
d = 3.50 m
long. The coefficient of kinetic friction between the rough
section of flooring and the box is 0.100. Using energy
considerations, determine the final speed of the box (in m/s) after
sliding across the rough section of flooring.

25) 6.50 kg block of ice sliding on the floor at 10.0 m/s
encounters a rough section for 4.0 m that has a coefficient of
kinetic friction of 0.820.
A) draw and label the figure
B) find the speed of the block after it passes the rough
section
C) the block encounters a spring and comes to rest after
compressing the spring for 20 cm. FIND the spring constant of the
spring

A 1.40 kg block slides with a speed of 0.950 m/s on a
frictionless horizontal surface until it encounters a spring with a
force constant of 734 N/m. The block comes to rest after
compressing the spring 4.15 cm. Find the spring potential, U, the
kinetic energy of the block, K, and the total mechanical energy of
the system, E, for compressions of (a) 0 cm, (b) 1.00 cm, (c) 2.00
cm, (d) 3.00 cm, (e) 4.00 cm

A 5.0 kg box slides down a 5.0 m high frictionless hill,
starting from rest, across a 2.0 m wide horizontal surface, then
hits a horizontal spring with spring constant 500 N/m. The ground
under the spring is frictionless, but the 2.0 m wide horizontal
surface is rough with a coefficient of kinetic friction of
0.25.
a. What is the speed of the box just before reaching the rough
surface?
b. What is the speed of the box just before...

A 1.5 kg box moves back and forth on a horizontal frictionless
surface between two different springs as shown. The box is
initially pressed against the stronger spring compressing it 4.0
cm, and then is released from rest. (a) By how much will the box
compress the weaker spring? (b) What is the maximum speed the box
will reach?

A 4.5 kg box slides down a 4.8-m -high frictionless hill,
starting from rest, across a 2.0-m -wide horizontal surface, then
hits a horizontal spring with spring constant 520 N/m . The other
end of the spring is anchored against a wall. The ground under the
spring is frictionless, but the 2.0-m-long horizontal surface is
rough. The coefficient of kinetic friction of the box on this
surface is 0.24.
Part A
What is the speed of the box just before...

A 4.5 kg box slides down a 5.2-m -high frictionless hill,
starting from rest, across a 2.2-m -wide horizontal surface, then
hits a horizontal spring with spring constant 550 N/m . The other
end of the spring is anchored against a wall. The ground under the
spring is frictionless, but the 2.2-m-long horizontal surface is
rough. The coefficient of kinetic friction of the box on this
surface is 0.27.
Part A.
What is the speed of the box just before...

A 2.00 kg block sliding on a horizontal surface makes contact
with a spring, compressing
the spring (the other end of the spring is attached to a rigid
wall). At the instant of
contact, the block has a speed of 12.0 m/s. The coefficients
of static and kinetic friction
between the block and the surface are 0.55 and 0.35,
respectively. The spring constant of
the spring is 100.0 N/m.
a) Determine the maximum compression of the spring
b) Determine the...

A.Your mass m=11 kg block slides down a frictionless ramp having
angle theta=0.51 radians to the horizontal. After sliding down the
ramp a distance L=16 m the block encounters a spring of spring
constant k=551 N/m. The spring is parallel to the ramp. Use g=9.74
m/s/s for the acceleration of gravity.
Calculate the maximum compression of the spring, in meters.
Include labeled diagrams showing the initial and final
configurations, and a discussion of the solution method based on
energy conservation....

In the figure, block 2 (mass 1.60 kg) is at rest on a
frictionless surface and touching the end of an unstretched spring
of spring constant 128 N/m. The other end of the spring is fixed to
a wall. Block 1 (mass 1.70 kg), traveling at speed v1 = 5.80 m/s,
collides with block 2, and the two blocks stick together. When the
blocks momentarily stop, by what distance is the spring
compressed?

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