Physics 201 MWF10:20 Fall 1996 (Ford)
Exam I Chapts. 1-5 in SZY College Physics

Show all your work. Partial credit will be given if earned. Write your answers in the blanks provided.


(16 pts) 1. A canoe has a velocity relative to the earth that has magnitude 0.45 m/s and direction 30° west of north. The canoe is on a river that is flowing 0.60 m/s due west relative to the earth. Take the +x-direction to be east and the +y-direction to be north.

a) What are the x and y components of the velocity of the canoe relative to the earth?

Ans. x ___-0.225 m/s___

y ____0.390 m/s___

b) What are the x and y components of the velocity of the canoe relative to the water?

Ans. x ___+0.375 m/s___

y ___+0.390 m/s___


(20 pts) 2. A corvette traveling down Texas Ave at 2 am is traveling at a constant speed of 35 m/s. At the instant it passes a police car, the police car accelerates from rest in pursuit of the corvette. The acceleration of the police car is a constant 1.6 m/s² and the corvette continues to travel at constant speed.

a) How much time elapses before the police car overtakes (catches up with) the corvette?

Ans. ___43.8 s___

b) How far does the patrol car travels before it catches up with the corvette?

Ans. ___1535 m___

C) What is the speed of the partol car when it catches up with the corvette?

Ans. ___70.1 m/s___


(20 pts) 3. A small cube of ice slides off a horizontal tabletop with an initial velocity v₀ that is horizontal. The tabletop is a vertical distance of 3.9 m above the floor. The cube of ice strikes the floor a horizontal distance of 9.0 m from the edge of the table.

a) What is the initial speed v₀ of the ice cube?

Ans. ___10.1 m/s___

b) What are the horizontal and vertical components of the velocity of the ice cube just before it strikes the floor?

Ans. horizontal ___10.1 m/s___

vertical ___-8.74 m/s___


(22 pts) 4. A force P = 50 N is applied at an angle of 37° below the horizontal to a block of mass 6 kg that is resting on a horizontal surface.

a) What is the normal force that the surface exerts on the block?

Ans. ___88.9 N___

b) If the block moves to the right with an acceleration of 1.8 m/s², what is the coefficient of kinetic friction between the block and the surface?

Ans. ___0.327___


(22 pts) 5. A block of mass m is on a frictionless incline of angle 37°. It is connected by a massless rope that passes over a massless, frictionless pulley to a hanging block of mass 5 kg. When the blocks are released from rest, the 5 kg block travels downward with an acceleration of 5.0 m/s².

a) What is the tension in the rope while the blocks are moving?

Ans. ___24 N___

b) What is the mass m of the block on the incline?

Ans. ___2.20 kg___