AP Physics 1 Atwoods & Atwoods with Inclines

A box of mass 30kg is resting on a table with a μ between them of 0.2.  If this box was connected by a pulley to a weight with a mass of 20kg suspended off of the table, how much additional mass (in kg) would need to be placed in the box to stop it from moving?

Assume g=10m/s².

Round your answer to include three significant figures (if possible)

A 2.75kg object is attached through an ideal Atwood machine to a 3.75kg object.  If the machine is released from rest at t = 0, how long (in seconds) will it be before the heavier mass falls 3.0m?

Assume g=10m/s².

Round your answer to include three significant figures (if possible)

A 35.0kg crate is placed on a metal incline that is 30° from the horizontal.  If the crate is attached to a suspended weight of mass 10.0kg via pulley and it accelerates down the incline at 1.00 m/s², what is the coefficient of friction between the crate and the metal?

Assume g=10m/s².

Round your answer to include three significant figures (if possible)

A 2.21kg object is attached to a 3.74kg object through an ideal Atwood machine. If the heavier object is traveling up at 2.6m/s at t = 0, how long will it be before the objects reach the same height they were at time zero?

Assume g=10m/s².

Round your answer to include three significant figures (if possible)

A 2.0kg mass is resting on an inclined plane that is 60° from the horizontal.  It is attached through an ideal pulley by an ideal string to a second mass of 3.0kg that is suspended in the air.  If the coefficient of friction between the first mass and the incline is 0.5, what will the acceleration of the entire system be?

Assume g=10m/s².

Round your answer to include three significant figures (if possible)

A 3.30kg object is motionless on a table when it is connected through an ideal pulley by an ideal string to a 1.76kg object that is hanging in the air 1.5m off of the ground.  If the coefficient of friction between the first object and the table is 0.15, how long (in seconds) does it take the second object to hit the ground after the two objects are released?

Assume g=10m/s².

Round your answer to include three significant figures (if possible)

A 30.0kg box is sitting on an incline of 53° to horizontal with a coefficient of friction of 0.40 between the box and the surface.  How much mass (in kg) would have to be attached to a pulley and suspended over the other side of the incline to keep the box from sliding down the incline?

Assume g=10m/s².

Round your answer to include three significant figures (if possible)

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I am the standard

Challenge:

A driver accidentally drives his 1200.N car into the ditch on the right side of the road, so that the car is facing perpendicular to the road.  He gets out of the car and ties a rope to the cars bumper.  He then ties the other end to a tree on the opposite side of the road 12.0m away.  If the driver then stands in the road halfway between the car and tree and pushes the rope so that it moves 1 meter in front of him (parallel with the road) with 610N of force.  What is the tension of the rope on the car?

Assume g=10m/s².

Round your answer to include three significant figures (if possible)