(ii) A particle of mass 5 kg moves on the inside surface of a smooth spherical bowl of radius 4 m, describine a horizontal circle at a distance 2 m below the centre of the bowl with uniform speed. Find (c) the speed of the particle, (d) the force acting towards the centre. (Take g as 10 ms2.)

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7. () The engine of a car of mass 500 kg works at a constant rate of 15 kW. A non-gravitational resistance to
the motion of the car is constant. The maximum speed of the car on level ground is 5 ms!.
(a) Find the acceleration of the car when it is travelling at a speed of ms' directly up a road of
inclination a, where sin a =.
Given that the car covers a distance of 20 m up the road,
(b) Calculate the work done by the engine
(ii) A particle of mass 5 kg moves on the inside surface of a smooth spherical bowl of radius 4 m, describing
a horizontal circle at a distance 2 m below the centre of the bowl with uniform speed.
Find
(c) the speed of the particle,
(d) the force acting towards the centre.
(Take g as 10 ms?.)
Transcribed Image Text:7. () The engine of a car of mass 500 kg works at a constant rate of 15 kW. A non-gravitational resistance to the motion of the car is constant. The maximum speed of the car on level ground is 5 ms!. (a) Find the acceleration of the car when it is travelling at a speed of ms' directly up a road of inclination a, where sin a =. Given that the car covers a distance of 20 m up the road, (b) Calculate the work done by the engine (ii) A particle of mass 5 kg moves on the inside surface of a smooth spherical bowl of radius 4 m, describing a horizontal circle at a distance 2 m below the centre of the bowl with uniform speed. Find (c) the speed of the particle, (d) the force acting towards the centre. (Take g as 10 ms?.)
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