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Exam 4: The Laws of Motion

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Question 31

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A 200-N crate rests on an ramp; the maximum angle just before it slips is 25 $\degree$ with the horizontal.What is the coefficient of static friction between crate and ramp surfaces?

A) 0.11
B) 0.21
C) 0.38
D) 0.47

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Question 32

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A worker pulls a 200-N packing crate at constant velocity across a rough floor by exerting a force F = 55.0 N at an angle of 35.0 $\degree$ above the horizontal.What is the coefficient of kinetic friction of the floor?

A) 0.133
B) 0.267
C) 0.400
D) 0.200

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Question 33

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An airplane of mass 1.2 * 10⁴ kg tows a glider of mass 0.6 * 10⁴ kg.The airplane propellers provide a net forward thrust of 3.6 * 10⁴ N.What is the glider's acceleration?

A rock is rolled in the sand.It starts at 5.0 m/s, moves in a straight line for a distance of 3.0 m, and then stops.What is the magnitude of the average acceleration?

A cart of weight 20 N is accelerated across a level surface at 0.15 m/s².What net force acts on the wagon? (g = 9.8 m/s²)

As a basketball player starts to jump for a rebound, he begins to move upward faster and faster until he leaves the floor.During this time that he is in contact with the floor, the force of the floor on his shoes is:

As a car skids with its wheels locked trying to stop on a road covered with ice and snow, the force of friction between the icy road and the tires will usually be:

A hockey puck moving at 7.0 m/s coasts to a halt in 75 m on a smooth ice surface.What is the coefficient of friction between the ice and the puck?

An object weighs 100 N.If the gravitational constant G were half of what it is currently, what would the weight of the object be?

A karate master strikes a board with an initial velocity of 10.0 m/s, decreasing to 1.0 m/s as his hand passes through the board.If the time of contact with the board is 0.002 0 s, and the mass of the coordinated hand and arm is 1.0 kg, what is the force exerted on the board?

A trapeze artist, with swing, weighs 800 N; he is being held to one side by his partner so that the swing ropes make an angle of 30.0 $\degree$ with the vertical.In such a condition of static equilibrium, what is the tension in the rope?

The maximum possible value for the coefficient of static friction is:

The coefficient of static friction between the tires of a car and the street is m_s = 0.77.Of the following, what is the steepest inclination angle of a street on which a car can be parked (with wheels locked) without slipping?

The acceleration due to gravity on the Moon's surface is one-sixth that on Earth.An astronaut's life support backpack weighs 300 lb on Earth.What does it weigh on the Moon?

The coefficient of friction between a racecar's wheels and the track is 1.0.The car starts from rest and accelerates at a constant rate for 400 m.Find the maximum speed at the end of the race.

Find the tension in an elevator cable if the 1 000-kg elevator is descending with an acceleration of 1.8 m/s², downward.

As a 3.0-kg bucket is being lowered into a 10-m-deep well, starting from the top, the tension in the rope is 9.8 N.The acceleration of the bucket will be:

Three identical 6.0-kg cubes are placed on a horizontal frictionless surface in contact with one another.The cubes are lined up from left to right and a force is applied to the left side of the left cube causing all three cubes to accelerate to the right at 2.0 m/s².What is the magnitude of the force exerted on the right cube by the middle cube in this case?

Dana uses a rope to pull a box that weighs 300 N across a level surface with constant velocity.The rope makes an angle of 30 $\degree$ above the horizontal and the tension in the rope is 100 N.What is the coefficient of friction?

A 5 000-N weight is suspended in equilibrium by two cables.Cable 1 applies a horizontal force to the right of the object and has a tension, T₁.Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x-axis and has a tension, T₂.Find T_2.