Question

7. Two-stage problem A 3.00-kg block is sitting at rest against a spring that is compressed an unknown amount. The block slides along a surface and up an incline before colliding with and sticking to a 1.50-kg block that is initially stationary and they move away at 3.5 m/s. The 1.50- kg block is 4.44 m above the initial location of the 3.00-kg block. The spring constant is 1965 N/m. All surfaces are frictionless.

a. Explain why the conservation of mechanical energy equation cannot be applied between the very beginning of the scenario and the very end of the scenario in order to find the initial spring compression.

b. Explain how you can solve for the initial spring compression in as few steps as possible. Modify the diagram to help in your explanation (and solution in part c).

c. Solve for the initial spring compression.

Answer #1

A wooden block with mass 1.80 kg is placed against a compressed
spring at the bottom of a slope inclined at an angle of 34.0 ?
(point A). When the spring is released, it projects the block up
the incline. At point B, a distance of 6.00 m up the incline from
A, the block is moving up the incline at a speed of 6.45 m/s and is
no longer in contact with the spring. The coefficient of kinetic
friction...

Name:__________________________________________Section____
A block of mass ? = 12.0 kg is released from rest on an incline
angled at θ = 30 degrees. The block slides down and incline of
length ? = 1.40 m along the incline, which has a coefficient of
kinetic friction between the incline and the block of ?? = 0.180.
The block then slides on a horizontal frictionless surface until it
encounters a spring with a spring constant of ? = 205 N/m. Refer to
the...

A wooden block with mass 1.30 kg is placed against a compressed
spring at the bottom of a slope inclined at an angle of 35.0 ∘
(point A). When the spring is released, it projects the block up
the incline. At point B, a distance of 7.95 m up the incline from
A, the block is moving up the incline at a speed of 5.75 m/s and is
no longer in contact with the spring. The coefficient of kinetic
friction...

A 0.2 kg block compresses a spring of spring constant 1900 N/m
by 0.18 m. After being released from rest, the block slides along a
smooth, horizontal and frictionless surface before colliding
elastically with a 1.4 kg block which is at rest. (Assume the
initial direction of motion of the sliding block before the
collision is positive.)
A: What is the velocity of the 0.2 kg block just before striking
the 1.4 kg block?
B: What is the velocity of...

A block of mass 0.25 kg is against a spring compressed at 0.20 m
with spring constant 50 N/m. When the spring is released, the block
moves along the frictionless surface until entering a region with
the coefficient of kinetic friction equal to 0.30 (when the block
enters the friction region it is no longer in contact with the
spring ). How far,L,into the region with friction does the block
slide before stopping?

In the figure, a 4.3 kg block is accelerated from rest by a
compressed spring of spring constant 620 N/m. The block leaves the
spring at the spring's relaxed length and then travels over a
horizontal floor with a coefficient of kinetic friction
μk = 0.284. The frictional force stops the
block in distance D = 7.4 m. What are (a)
the increase in the thermal energy of the block–floor system,
(b) the maximum kinetic energy of the block, and...

Block B of 40.0 kg is sitting at a frictionless horizontal floor
at a height h1 = 40.0 m above the ground, when a second 100.0 kg
block (block A), moving at an unknown speed hits and sticks to
block B. After the collision, the combination slides down a hill
which has friction, with a speed of 2.00 m/s.
A. What was the speed of the block A before the collision?
B. At the end of the path, a very...

A student places a 1.200 kg block next to a spring of spring
constant k=4960N/m. The system rests is on a frictionless
horizontal surface (see figure). The horizontal surface at the top
of a building. The distance from the horizontal surface to the
ground below is 7.00m. The student pushes the block against the
spring until it is compressed a distance 0.100m. The block is then
released so that is slides off the edge of the building. Final
answers must...

A 15-gram stone is shot horizontally at a 3.0 kg wooden block
hooked to a relax 250 N/m spring (the other end of the spring is
fixed against a wall, the spring at the block sitting on a
horizontal frictionless table). It is observed that the stone
bounces back with a speed of 10 m/s, and that the blcok compresses
the spring by 4.0 cm.
1a. What was the speed of the stone just before collision?
1b. Calculate the energy...

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....

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