10. Exercises

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Exercise 10.1

A package with mass 300 kg is lifted vertically upwards. Find the tension in the cable which lifts the package, when the package,

a) accelerates upwards at 0.1 \displaystyle \text{m}{{\text{s}}^{-2}},

b) accelerates downwards at 0.2 \displaystyle \text{m}{{\text{s}}^{-2}},

c) travels upwards with a retardation of 0.1 \displaystyle \text{m}{{\text{s}}^{-2}}.

Exercise 10.2

A car of mass 1 tonne travels along a horizontal road and brakes from 50 \displaystyle \text{m}{{\text{s}}^{-1}} to rest in a distance of 300 m. Find the magnitude of the braking force on the car.



Exercise 10.3

A particle of mass 5 kg slides down a smooth plane, inclined at an angle of 30.\displaystyle 0{}^\circ to the horizontal. Find the acceleration of the particle down the plane.


Exercise 10.4

A particle of mass 6 kg starts from rest and accelerates uniformly. The resultant force on the particle has magnitude 15 N. Find the time taken to reach a speed of 10 \displaystyle \text{m}{{\text{s}}^{-1}}.