A lift is going up. The total mass of the lift and the passengers is 1500kg. The variation in the speed of the lift is given by the graph as shown in Fig. What is the height, to which the lift takes the passengers ?.
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A 5 kg ball is trhown up with a speed of 10 m/s. What is the height to which it rises?

If a lift can move a load of 5000 kg with a speed of 1ms^-1 , where is the power of the lift?

Find the work done in lifting a 50 kg bucket a water through a vertical height of 2 m.

Calculate the power of a crane in watts, which lifts a mass of 100 kg to a a height of 10 m in 20s.

A hydraulic automobile lift is designed to lift cars with a maximum mass of 3000 kg. The area of cross-section of the piston carrying the load is 425 cm^2 . What maximum pressure would the smaller piston have to bear ?

Two stones are thrown up simultaneously from the edge of a cliff 200 m high with initial speeds of 15 m s^-1 and 30 m s^-1 . Verify that the graph shown in Fig. 3.27 correctly represents the time variation of the relative position of the second stone with respect to the first. Neglect air resistance and assume that the stones do not rebound after hitting the ground. Take g = 10 m s^-2 . Give the equations for the linear and curved parts of the plot.

An elevator of total mass (elevator+ passenger) 3600 kg in moving up with a constant speed of 2 ms^-1 . A frictional force of 1300 M opposes its motion. Determine the minimum power delivered by the motor to the elevator.

In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are 70 m s^-1 and 63 m s^-1 respectively. What is the lift on the wing if its area is 2.5 m^2 ? Take the density of air to be 1.3 kg m^-3