9. Exercises

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Exercise 9.1

A parachutist is falling vertically at a constant speed. He has mass 80 kg. Find the magnitude of the upward force acting on the parachute.


Exercise 9.2

Each of the bodies shown below are moving with a constant velocity. Use this to find P and Q.

Image:E9.2.GIF


Exercise 9.3

A bicycle moves with a constant velocity along a straight horizontal road. If the forward force which the cyclist exerts by pedalling is 28 N, what is the magnitude of the resistive force acting on the bicycle and cyclist ?


Exercise 9.4

A block, of mass 4 kg, is being dragged across a rough horizontal surface at a constant velocity by a force of 20 N acting parallel to the surface. Find the coefficient of friction between the object and the surface.


Exercise 9.5

A skier of mass 60 kg is travelling at a constant speed down a slope inclined 20\displaystyle {}^\circ to the horizontal, subject to; air resistance and friction where the coefficient of friction between skier and the slope is 0.05. Find the magnitude of the air resistance force acting on the skier.


Exercise 9.6

A car of mass 1600 kg is towed up a hill of inclined at 5\displaystyle {}^\circ to the horizontal. The car moves with a constant velocity. The tow rope is at an angle of 7\displaystyle {}^\circ to the hill.

Image:E9.6.GIF

Model the car as a particle.

a) Find the magnitude of the tension in the rope.

b) Find the magnitude of the normal reaction between the hill and the sledge.