WORK ENERGY THEOREMBY CONSTANT FORCE
Work, Energy and Power

268720 A ship of mass \(3 \times 10^{7} \mathrm{~kg}\) initially at rest is pulled by a force of \(5 \times 10^{4} \mathrm{~N}\) through a distance of 3 meters. Assuming that the resistance due to water is negligible, the speed of the ship is

1 \(0.1 \mathrm{~m} / \mathrm{s}\)
2 \(1.5 \mathrm{~m} / \mathrm{s}\)
3 \(5 \mathrm{~m} / \mathrm{s}\)
4 \(60 \mathrm{~m} / \mathrm{s}\)
Work, Energy and Power

268721 A vehicle of mass \(1000 \mathrm{~kg}\) is moving with a velocity of \(15 \mathbf{~ m s}^{-1}\). It is brought to rest by applying brakes and locking the wheels. If the sliding friction between the tyres and the road is \(6000 \mathrm{~N}\), then the distance moved by the vehicle before coming to rest is

1 \(37.5 \mathrm{~m}\)
2 \(18.75 \mathrm{~m}\)
3 \(75 \mathrm{~m}\)
4 \(15 \mathrm{~m}\)
Work, Energy and Power

268722 The workdone to accelerate a body from 30 \(\mathrm{ms}^{-1}\) to \(60 \mathrm{~ms}^{-1}\) is three times the work done to accelerate it from \(10 \mathrm{~ms}^{-1}\) to ' \(v\) '. The value of ' \(v\) 'in \(\mathbf{~ m s}^{-1}\) is

1 30
2 \(20 \sqrt{2}\)
3 \(30 \sqrt{3}\)
4 \(10 \sqrt{10}\)
Work, Energy and Power

268770 A bullet of mass\(10 \mathrm{gm}\) is fired horizontally with a velocity \(1000 \mathrm{~ms}^{-1}\) from a riffle situated at a height \(50 \mathrm{~m}\) above the ground. If the bullet reaches the ground with a velocity \(500 \mathrm{~ms}^{-1}\), the work done against air resistance in the trajectory of the bullet is (in joule) \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 5005
2 3755
3 3750
4 17.5
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Work, Energy and Power

268720 A ship of mass \(3 \times 10^{7} \mathrm{~kg}\) initially at rest is pulled by a force of \(5 \times 10^{4} \mathrm{~N}\) through a distance of 3 meters. Assuming that the resistance due to water is negligible, the speed of the ship is

1 \(0.1 \mathrm{~m} / \mathrm{s}\)
2 \(1.5 \mathrm{~m} / \mathrm{s}\)
3 \(5 \mathrm{~m} / \mathrm{s}\)
4 \(60 \mathrm{~m} / \mathrm{s}\)
Work, Energy and Power

268721 A vehicle of mass \(1000 \mathrm{~kg}\) is moving with a velocity of \(15 \mathbf{~ m s}^{-1}\). It is brought to rest by applying brakes and locking the wheels. If the sliding friction between the tyres and the road is \(6000 \mathrm{~N}\), then the distance moved by the vehicle before coming to rest is

1 \(37.5 \mathrm{~m}\)
2 \(18.75 \mathrm{~m}\)
3 \(75 \mathrm{~m}\)
4 \(15 \mathrm{~m}\)
Work, Energy and Power

268722 The workdone to accelerate a body from 30 \(\mathrm{ms}^{-1}\) to \(60 \mathrm{~ms}^{-1}\) is three times the work done to accelerate it from \(10 \mathrm{~ms}^{-1}\) to ' \(v\) '. The value of ' \(v\) 'in \(\mathbf{~ m s}^{-1}\) is

1 30
2 \(20 \sqrt{2}\)
3 \(30 \sqrt{3}\)
4 \(10 \sqrt{10}\)
Work, Energy and Power

268770 A bullet of mass\(10 \mathrm{gm}\) is fired horizontally with a velocity \(1000 \mathrm{~ms}^{-1}\) from a riffle situated at a height \(50 \mathrm{~m}\) above the ground. If the bullet reaches the ground with a velocity \(500 \mathrm{~ms}^{-1}\), the work done against air resistance in the trajectory of the bullet is (in joule) \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 5005
2 3755
3 3750
4 17.5
Work, Energy and Power

268720 A ship of mass \(3 \times 10^{7} \mathrm{~kg}\) initially at rest is pulled by a force of \(5 \times 10^{4} \mathrm{~N}\) through a distance of 3 meters. Assuming that the resistance due to water is negligible, the speed of the ship is

1 \(0.1 \mathrm{~m} / \mathrm{s}\)
2 \(1.5 \mathrm{~m} / \mathrm{s}\)
3 \(5 \mathrm{~m} / \mathrm{s}\)
4 \(60 \mathrm{~m} / \mathrm{s}\)
Work, Energy and Power

268721 A vehicle of mass \(1000 \mathrm{~kg}\) is moving with a velocity of \(15 \mathbf{~ m s}^{-1}\). It is brought to rest by applying brakes and locking the wheels. If the sliding friction between the tyres and the road is \(6000 \mathrm{~N}\), then the distance moved by the vehicle before coming to rest is

1 \(37.5 \mathrm{~m}\)
2 \(18.75 \mathrm{~m}\)
3 \(75 \mathrm{~m}\)
4 \(15 \mathrm{~m}\)
Work, Energy and Power

268722 The workdone to accelerate a body from 30 \(\mathrm{ms}^{-1}\) to \(60 \mathrm{~ms}^{-1}\) is three times the work done to accelerate it from \(10 \mathrm{~ms}^{-1}\) to ' \(v\) '. The value of ' \(v\) 'in \(\mathbf{~ m s}^{-1}\) is

1 30
2 \(20 \sqrt{2}\)
3 \(30 \sqrt{3}\)
4 \(10 \sqrt{10}\)
Work, Energy and Power

268770 A bullet of mass\(10 \mathrm{gm}\) is fired horizontally with a velocity \(1000 \mathrm{~ms}^{-1}\) from a riffle situated at a height \(50 \mathrm{~m}\) above the ground. If the bullet reaches the ground with a velocity \(500 \mathrm{~ms}^{-1}\), the work done against air resistance in the trajectory of the bullet is (in joule) \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 5005
2 3755
3 3750
4 17.5
Work, Energy and Power

268720 A ship of mass \(3 \times 10^{7} \mathrm{~kg}\) initially at rest is pulled by a force of \(5 \times 10^{4} \mathrm{~N}\) through a distance of 3 meters. Assuming that the resistance due to water is negligible, the speed of the ship is

1 \(0.1 \mathrm{~m} / \mathrm{s}\)
2 \(1.5 \mathrm{~m} / \mathrm{s}\)
3 \(5 \mathrm{~m} / \mathrm{s}\)
4 \(60 \mathrm{~m} / \mathrm{s}\)
Work, Energy and Power

268721 A vehicle of mass \(1000 \mathrm{~kg}\) is moving with a velocity of \(15 \mathbf{~ m s}^{-1}\). It is brought to rest by applying brakes and locking the wheels. If the sliding friction between the tyres and the road is \(6000 \mathrm{~N}\), then the distance moved by the vehicle before coming to rest is

1 \(37.5 \mathrm{~m}\)
2 \(18.75 \mathrm{~m}\)
3 \(75 \mathrm{~m}\)
4 \(15 \mathrm{~m}\)
Work, Energy and Power

268722 The workdone to accelerate a body from 30 \(\mathrm{ms}^{-1}\) to \(60 \mathrm{~ms}^{-1}\) is three times the work done to accelerate it from \(10 \mathrm{~ms}^{-1}\) to ' \(v\) '. The value of ' \(v\) 'in \(\mathbf{~ m s}^{-1}\) is

1 30
2 \(20 \sqrt{2}\)
3 \(30 \sqrt{3}\)
4 \(10 \sqrt{10}\)
Work, Energy and Power

268770 A bullet of mass\(10 \mathrm{gm}\) is fired horizontally with a velocity \(1000 \mathrm{~ms}^{-1}\) from a riffle situated at a height \(50 \mathrm{~m}\) above the ground. If the bullet reaches the ground with a velocity \(500 \mathrm{~ms}^{-1}\), the work done against air resistance in the trajectory of the bullet is (in joule) \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

1 5005
2 3755
3 3750
4 17.5