A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 107 m. If the radius of Roton is 5.0 106 m, what is the magnitude of the free-fall acceleration on the surface of Roton?
a. 31 m/s2
b. 27 m/s2
c. 34 m/s2
d. 40 m/s2
e. 19 m/s2
[Ques. 2] When you drag a toy teddy bear along the floor by a force that is parallel to the floor, the magnitude of the force of friction
a. is independent of velocity or acceleration.
b. increases when the velocity increases.
c. is proportional to the acceleration.
d. decreases when the force parallel to the floor increases.
e. increases when the force parallel to the floor increases.
[Ques. 3] The frictional force of the floor on a large suitcase is least when the suitcase is
a. pushed by a force parallel to the floor.
b. dragged by a force parallel to the floor.
c. pulled by a force directed at an angle above the floor.
d. pushed by a force directed at an angle into the floor.
e. turned on its side and pushed by a force parallel to the floor.
[Ques. 4] A 1.0-kg block is pushed up a rough 22 inclined plane by a force of 7.0 N acting parallel to the incline. The acceleration of the block is 1.4 m/s2 up the incline. Determine the magnitude of the force of friction acting on the block.
a. 1.9 N
b. 2.2 N
c. 1.3 N
d. 1.6 N
e. 3.3 N
[Ques. 5] A 3.0-kg block slides on a rough horizontal surface. A force of 8.0 N acting parallel to the surface is applied to the block. The coefficient of kinetic friction between the block and the surface is 0.15 . What is the magnitude of the block's acceleration?
a. 1.9 m/s2
b. 1.2 m/s2
c. 2.3 m/s2
d. 1.5 m/s2
e. 2.9 m/s2
[Ques. 6] A 1.8-kg block is projected up a rough 10 inclined plane. As the block slides up the incline, its acceleration is 3.8 m/s2 down the incline. What is the magnitude of the force of friction acting on the block?
a. 5.0 N
b. 3.8 N
c. 4.2 N
d. 4.6 N
e. 6.5 N
[Ques. 7] A 1.8-kg block is released from rest at the top of a rough 30 inclined plane. As the block slides down the incline, its acceleration is 3.0 m/s2 down the incline. Determine the magnitude of the force of friction acting on the block.
a. 4.2 N
b. 3.0 N
c. 3.4 N
d. 3.8 N
e. 2.3 N
[Ques. 8] The first of two identical boxes of mass m is sitting on level ground. The second box is sitting on a ramp that makes an angle with the ground. When a force of magnitude F is applied to each box in a direction parallel to the surface it is on, upwards on the box on the ramp, neither box moves. Which statement comparing the friction force on the box on the level, Fs,L, to the friction force on the box on the ramp, Fs,R, is correct?
a. Fs,R = Fs,L.
b. Fs,R > Fs,L.
c. Fs,R
d. The coefficient of static friction is needed to determine the correct answer.
e. Depending on the values of the coefficient of static friction, the angle of elevation of the ramp, the mass of the boxes, and the applied force, answers (a), (b), and (c) are each a possible correct answer.
[Ques. 9] A small dense object is suspended from the rear view mirror in a car by a lightweight fiber. As the car is accelerating at 1.90 m/s2, what angle does the string make with the vertical?
[Ques. 10] A race car starts from rest on a circular track of radius 400 m. Its speed increases at the constant rate of 0.500 m/s2 . At the point where the magnitudes of the radial and tangential accelerations are equal, determine (a) the speed of the race car, and (b) the elapsed time.
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