Download AP Physics Daily Problem #30

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AP Physics Daily Problem #21
Consider a 10kg block sitting at rest on a frictionless plane inclined at an angle of 30 to
the horizontal.
Draw a free body diagram of the block. Show all forces. Show the components of the
gravitational force parallel and normal to the plane as dashed vectors.
Calculate the magnitude of the parallel and normal components of the gravity force.
What is the acceleration of the block? (hint: consider only the forces in the direction that
the block can move!)
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AP Physics Daily Problem #22
Consider a 10kg block sitting at rest on a rough plane inclined at an angle of 25 to the
horizontal. The coefficient of friction is 0.20.
Draw a free body diagram of the block. Show all forces. Show the components of the
gravitational force parallel and normal to the plane as dashed vectors.
What is the magnitude of the friction force acting on the block?
What is the acceleration of the block?
What is the minimum coefficient of static friction needed to prevent the block from
moving at all?
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AP Physics Daily Problem #23
Consider a 10kg block sitting at rest on a frictionless plane inclined at an angle of 20 to
the horizontal. This block is connected via a massless cord and pulley to a freely hanging
5kg block.
10.0kg
5.0kg
Draw a free body diagram of both blocks. Show all forces. Show the components of the
gravitational force parallel and normal to the plane as dashed vectors.
What is the acceleration of the block? (hint: consider only the forces in the direction that
the block can move!)
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AP Physics Daily Problem #24
Consider a 10kg block on a rough plane inclined at
an angle of 45 to the horizontal. This block is
connected via a massless cord and pulley to a freely
hanging 5kg block. The 10kg block has a k of 0.2
and an initial velocity of 5m/s up the ramp
5.0kg
10.0kg
Draw a free body diagram of both blocks. Show all forces. Show the components of the
gravitational force parallel and normal to the plane as dashed vectors.
What is the acceleration of the block?
Assuming that s is the same as k, will the block change directions or simply stop??
Name
AP Physics Daily Problem #25
Per
V0
A 4wd all terrain vehicle of mass 500kg approaches
a 45 degree hill at 10m/s. The tires of the vehicle
have a k of 0.70. The vehicle’s powerful engine
spins its wheels in a forward direction at all times.
Determine the acceleration of the vehicle after it starts up the slope
Determine the distance the vehicle travels up the hill before stopping?
Determine the amount of time required for the vehicle to slip back to the bottom of the
hill, measured from the time the vehicle started up the hill. (hint: Unlike most problems
of this type, the direction of the friction force doesn’t change when the vehicle changes
direction! The tires are still slipping in the same direction!)
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AP Physics Daily Problem #26
A tank fires a 100m/s projectile at an angle of 20 degrees above the horizon from the top
of an 80m cliff. The tank is attempting to destroy a 15m high and 200m long building
located 700m from the foot of the cliff. .
100m/s. 20 above horizon
80m
15m
700m
Determine where the shell will hit.
Determine the speed of the shell when it hits.
200m
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AP Physics Daily Problem #27
A 10kg block (k=0.3) moves to the right on a rough plane. It is pulled via a string at an
angle 30 degrees above the horizon. The tension in the string is 50N
50N
30
10kg
k=0.3
Determine the horizontal and vertical components of the tension force.
Determine the normal force between the block and the plane (hint: does the block
accelerate vertically?)
Determine the friction force acting on the block
Determine the acceleration of the block.
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AP Physics Daily Problem #28
An all-wheel-drive vehicle of mass m is climbing a hill of angle θ with an acceleration a.
Find the minimum s required to sustain this acceleration in terms of m, θ, a, and g.
m
θ
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AP Physics Daily Problem #29
A 5kg mass and a 15kg mass are connected by a massless cord. k of the first mass is
0.1, and that of the second mass is 0.2. they have an initial velocity up the 30ramp of
3m/s
3m/s
5kg
k=0.1
15kg
k=0.2
30
Determine the tension in the cord.
Determine the tension in the after the block change direction
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AP Physics Daily Problem #30
A 10kg mass on a 30ramp is acted upon by a horizontal force of 90N. k of the mass is
0.2. The mass starts at rest and the static friction is overcome by the force.
90N
10kg
k=0.2
30
Determine the normal force.
Determine the acceleration of the block
How fast is the block moving after it moves 3m?