Work, Energy, and Simple Machines
CBSE · Class 9 · Science
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A truck of mass 10000 kg moves at 72 km h^-1 and stops on an escape ramp after rising 10 m vertically. What is the initial kinetic energy of the truck?
A truck of mass 10000 kg starts with speed 72 km h^-1 and stops on an escape ramp where sand exerts 50000 N opposite to motion. If the ramp length is 20 m and the truck rises 10 m vertically, what is the final gravitational potential energy gained?
A weightlifter lifts a 75 kg mass through 2 m in 5 s. Taking g = 10 m s^-2, what power is required?
A car of mass 1000 kg starts from rest and reaches 72 km h^-1 in 10 s. What is the work done by the engine?
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A car of mass 1000 kg starts from rest and reaches 72 km h^-1 in 10 s. What is the power of the engine?
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20,000 W
From the previous calculation, work done is 200,000 J. Power = W/t = 200,000/10 = 20,000 W.
A cricket ball of mass 0.2 kg is bowled at 154.8 km h^-1. What is its kinetic energy?
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184.9 J
Convert speed: 154.8 km h^-1 = 43 m s^-1. Then K = 1/2 mv^2 = 1/2 × 0.2 × 43^2 = 0.1 × 1849 = 184.9 J.
A cricket ball of mass 0.2 kg is thrown so that it reaches a height of 10 m. Taking g = 10 m s^-2, what is its gravitational potential energy at the top?
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20 J
Use U = mgh = 0.2 × 10 × 10 = 20 J.
A child slides down from a height of h and reaches the bottom with speed v, neglecting friction. If h = 5 m and g = 10 m s^-2, what is the speed at the bottom?
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10 m s^-1
Use conservation of mechanical energy: mgh = 1/2 mv^2. Mass cancels, so v = sqrt(2gh) = sqrt(2 × 10 × 5) = sqrt(100) = 10 m s^-1.
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