CONSERVATION OF MECHANICAL ENERGY
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Work, Energy and Power

268662 A cradle is ' \(h\) ' meters above the ground at the lowest position and ' \(H\) ' meters when it is at the highest point. If ' \(v\) ' is the maximum speed of the swing of total mass ' \(m\) ' the relation between ' \(h\) ' and ' \(H\) ' is

1 \(\left(v^{2} / 2 g\right)+h=H\)
2 \(\left(v^{2} / g\right)+2 h=H\)
3 \(\left(v^{2} / 2 g\right)+H=h\)
4 \(1 / 2 m v^{2}+h=H\)
Work, Energy and Power

268663 \(A B\) is a frictionless inclined surface making an angle of \(30^{\circ}\) with horizontal. A is \(6.3 \mathrm{~m}\) above the ground while \(B\) is \(3.8 \mathrm{~m}\) above the ground. \(A\) block slides down from \(A\), initially starting from rest. Its velocity on reaching \(B\) is
![original image](https://cdn.mathpix.com/snip/images/DkkuvOboa_of-qrZXfk7iFbnlFFTxaIfbcZBLFuvRdQ.original.fullsize.png)

1 \(14.14 \mathrm{~m} / \mathrm{s}\)
2 \(7.07 \mathrm{~m} / \mathrm{s}\)
3 \(5 \mathrm{~m} / \mathrm{s}\)
4 \(25 \mathrm{~m} / \mathrm{s}\)
Work, Energy and Power

268664 A stone of mass " \(m\) " initially at rest and dropped from a height " \(h\) " strikes the surface of the earth with a velocity " \(v\) ". If the gravitational force acting on the stone is \(\mathrm{W}\), then which of the following identities is correct

1 \(\mathrm{mv}-\mathrm{mh}=0\)
2 \(1 / 2 \mathrm{mv}^{2}-\mathrm{Wh}^{2}=0\)
3 \(1 / 2 m v^{2}-W h=0\)
4 \(1 / 2 m v^{2}-m h=0\)
Work, Energy and Power

268724 A block of mass \(4 \mathrm{~kg}\) slides on a horizontal frictionless surface with a speed of \(2 \mathrm{~m} / \mathrm{s}\). It is brought to rest in compressing a spring in its path. If the force constant of the spring is 400 \(N / m\), by how much the spring will be compressed

1 \(2 \times 10^{-2} \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(20 \mathrm{~m}\)
4 \(200 \mathrm{~m}\)
Work, Energy and Power

268662 A cradle is ' \(h\) ' meters above the ground at the lowest position and ' \(H\) ' meters when it is at the highest point. If ' \(v\) ' is the maximum speed of the swing of total mass ' \(m\) ' the relation between ' \(h\) ' and ' \(H\) ' is

1 \(\left(v^{2} / 2 g\right)+h=H\)
2 \(\left(v^{2} / g\right)+2 h=H\)
3 \(\left(v^{2} / 2 g\right)+H=h\)
4 \(1 / 2 m v^{2}+h=H\)
Work, Energy and Power

268663 \(A B\) is a frictionless inclined surface making an angle of \(30^{\circ}\) with horizontal. A is \(6.3 \mathrm{~m}\) above the ground while \(B\) is \(3.8 \mathrm{~m}\) above the ground. \(A\) block slides down from \(A\), initially starting from rest. Its velocity on reaching \(B\) is
![original image](https://cdn.mathpix.com/snip/images/DkkuvOboa_of-qrZXfk7iFbnlFFTxaIfbcZBLFuvRdQ.original.fullsize.png)

1 \(14.14 \mathrm{~m} / \mathrm{s}\)
2 \(7.07 \mathrm{~m} / \mathrm{s}\)
3 \(5 \mathrm{~m} / \mathrm{s}\)
4 \(25 \mathrm{~m} / \mathrm{s}\)
Work, Energy and Power

268664 A stone of mass " \(m\) " initially at rest and dropped from a height " \(h\) " strikes the surface of the earth with a velocity " \(v\) ". If the gravitational force acting on the stone is \(\mathrm{W}\), then which of the following identities is correct

1 \(\mathrm{mv}-\mathrm{mh}=0\)
2 \(1 / 2 \mathrm{mv}^{2}-\mathrm{Wh}^{2}=0\)
3 \(1 / 2 m v^{2}-W h=0\)
4 \(1 / 2 m v^{2}-m h=0\)
Work, Energy and Power

268724 A block of mass \(4 \mathrm{~kg}\) slides on a horizontal frictionless surface with a speed of \(2 \mathrm{~m} / \mathrm{s}\). It is brought to rest in compressing a spring in its path. If the force constant of the spring is 400 \(N / m\), by how much the spring will be compressed

1 \(2 \times 10^{-2} \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(20 \mathrm{~m}\)
4 \(200 \mathrm{~m}\)
Work, Energy and Power

268662 A cradle is ' \(h\) ' meters above the ground at the lowest position and ' \(H\) ' meters when it is at the highest point. If ' \(v\) ' is the maximum speed of the swing of total mass ' \(m\) ' the relation between ' \(h\) ' and ' \(H\) ' is

1 \(\left(v^{2} / 2 g\right)+h=H\)
2 \(\left(v^{2} / g\right)+2 h=H\)
3 \(\left(v^{2} / 2 g\right)+H=h\)
4 \(1 / 2 m v^{2}+h=H\)
Work, Energy and Power

268663 \(A B\) is a frictionless inclined surface making an angle of \(30^{\circ}\) with horizontal. A is \(6.3 \mathrm{~m}\) above the ground while \(B\) is \(3.8 \mathrm{~m}\) above the ground. \(A\) block slides down from \(A\), initially starting from rest. Its velocity on reaching \(B\) is
![original image](https://cdn.mathpix.com/snip/images/DkkuvOboa_of-qrZXfk7iFbnlFFTxaIfbcZBLFuvRdQ.original.fullsize.png)

1 \(14.14 \mathrm{~m} / \mathrm{s}\)
2 \(7.07 \mathrm{~m} / \mathrm{s}\)
3 \(5 \mathrm{~m} / \mathrm{s}\)
4 \(25 \mathrm{~m} / \mathrm{s}\)
Work, Energy and Power

268664 A stone of mass " \(m\) " initially at rest and dropped from a height " \(h\) " strikes the surface of the earth with a velocity " \(v\) ". If the gravitational force acting on the stone is \(\mathrm{W}\), then which of the following identities is correct

1 \(\mathrm{mv}-\mathrm{mh}=0\)
2 \(1 / 2 \mathrm{mv}^{2}-\mathrm{Wh}^{2}=0\)
3 \(1 / 2 m v^{2}-W h=0\)
4 \(1 / 2 m v^{2}-m h=0\)
Work, Energy and Power

268724 A block of mass \(4 \mathrm{~kg}\) slides on a horizontal frictionless surface with a speed of \(2 \mathrm{~m} / \mathrm{s}\). It is brought to rest in compressing a spring in its path. If the force constant of the spring is 400 \(N / m\), by how much the spring will be compressed

1 \(2 \times 10^{-2} \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(20 \mathrm{~m}\)
4 \(200 \mathrm{~m}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Work, Energy and Power

268662 A cradle is ' \(h\) ' meters above the ground at the lowest position and ' \(H\) ' meters when it is at the highest point. If ' \(v\) ' is the maximum speed of the swing of total mass ' \(m\) ' the relation between ' \(h\) ' and ' \(H\) ' is

1 \(\left(v^{2} / 2 g\right)+h=H\)
2 \(\left(v^{2} / g\right)+2 h=H\)
3 \(\left(v^{2} / 2 g\right)+H=h\)
4 \(1 / 2 m v^{2}+h=H\)
Work, Energy and Power

268663 \(A B\) is a frictionless inclined surface making an angle of \(30^{\circ}\) with horizontal. A is \(6.3 \mathrm{~m}\) above the ground while \(B\) is \(3.8 \mathrm{~m}\) above the ground. \(A\) block slides down from \(A\), initially starting from rest. Its velocity on reaching \(B\) is
![original image](https://cdn.mathpix.com/snip/images/DkkuvOboa_of-qrZXfk7iFbnlFFTxaIfbcZBLFuvRdQ.original.fullsize.png)

1 \(14.14 \mathrm{~m} / \mathrm{s}\)
2 \(7.07 \mathrm{~m} / \mathrm{s}\)
3 \(5 \mathrm{~m} / \mathrm{s}\)
4 \(25 \mathrm{~m} / \mathrm{s}\)
Work, Energy and Power

268664 A stone of mass " \(m\) " initially at rest and dropped from a height " \(h\) " strikes the surface of the earth with a velocity " \(v\) ". If the gravitational force acting on the stone is \(\mathrm{W}\), then which of the following identities is correct

1 \(\mathrm{mv}-\mathrm{mh}=0\)
2 \(1 / 2 \mathrm{mv}^{2}-\mathrm{Wh}^{2}=0\)
3 \(1 / 2 m v^{2}-W h=0\)
4 \(1 / 2 m v^{2}-m h=0\)
Work, Energy and Power

268724 A block of mass \(4 \mathrm{~kg}\) slides on a horizontal frictionless surface with a speed of \(2 \mathrm{~m} / \mathrm{s}\). It is brought to rest in compressing a spring in its path. If the force constant of the spring is 400 \(N / m\), by how much the spring will be compressed

1 \(2 \times 10^{-2} \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(20 \mathrm{~m}\)
4 \(200 \mathrm{~m}\)