Question

A 12.0-kg box is released from the top
of an incline that is 5.00 m long and makes an angle of
40.0^{o} to the horizontal ground. A 60.0-N friction force
is acted on the box to impede the motion of the box.

A) Draw a free body diagram to show all the forces acting on the box.

B) What would be the acceleration of the box?

C) How much force (in N) parallel to the slope of incline is
required to accelerate the box upward at 1.2 m/s^{2}.

Answer #1

A 28.5-kg box is released on a 28 ∘ incline and accelerates down
the incline at 0.20 m/s2 . Determine 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 box with mass m = 1.2kg on an inclined frictionless surface is
released from rest from a height h = 1.35 m . After
reaching the bottom of the incline the box slides with friction
(μk=0.2) along a horizontal surface until coming to a rest after a
distance d.
1. Draw a free body diagram for the box while it is on the
incline. Clearly label all forces with standard names.
2. Draw a free body diagram for the...

An 82.0 N box is pulled 15.0 m up a 30° incline by an applied
force of 101 N that points upward, parallel to the incline. If the
coefficient of kinetic friction between box and incline is 0.220,
calculate the change in the kinetic energy of the box.

A 3.00 kg block starts from rest at the top of a 30° incline and
accelerates uniformly down the incline, moving 1.83 m in 1.80
s.
(a) Find the magnitude of the acceleration of the block.
m/s2
(b) Find the coefficient of kinetic friction between the block
and the incline.
(c) Find the magnitude of the frictional force acting on the
block. N
(d) Find the speed of the block after it has slid a distance
1.83 m. m/s

A 20.0 kg box slides 1.60 m down a rooftop with a 30.0° incline
and a coefficient of kinetic friction of 0.342. It then falls off
the rooftop and hits the ground. Assume no air resistance. The
bottom of the rooftop is 2.78 m above ground.
What are the components of the weight, using axes parallel and
perpendicular to the rooftop? Write the normal force and the force
of friction in component form?

A 12.0-kg box resting on a horizontal, frictionless surface is
attached to a 5.00-kg weight by a thin, light wire that passes
without slippage over a frictionless pulley. The pulley has the
shape of a uniform solid disk of mass 2.40 kg and diameter 0.420
m.
A)After the system is released, find the horizontal tension in
the wire.
B) After the system is released, find the vertical tension in
the wire.
C)After the system is released, find the acceleration of...

1. A mass of 2.8 kg is suspended from the ceiling of an elevator
by a rope. What is the tension in the rope when the elevator moves
in the following ways?
(a) accelerates upward at 1.2 m/s2
0 N 24.1 N 27.4 N 30.8 N
(b) accelerates downward at 1.2 m/s2
0 N 24.1 N 27.4 N 30.8 N
2. A toboggan with two riders has a total mass of 88.0 kg. A
third person is pushing the toboggan with...

A 17.6-kg crate starts at rest at the top of a 60.0° incline.
The coefficients of friction are μs = 0.400 and
μk = 0.300. The crate is connected to a hanging
8.00-kg box by an ideal rope and pulley.
a) How long does it take the crate to slide 2.00 m down the
incline? ( in seconds)
b)To push the crate back up the incline at constant speed, with
what force should you push on the crate (parallel to...

A 12.0-kg box resting on a horizontal, frictionless surface is
attached to a 5.00-kg weight by a thin, light wire that passes
without slippage over a frictionless pulley (the figure (Figure 1)
). The pulley has the shape of a uniform solid disk of mass 2.00 kg
and diameter 0.520 m .
Part A
After the system is released, find the horizontal tension in the
wire.
Part B
After the system is released, find the vertical tension in the
wire....

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