355732
A girl in a swing is 2.5 \(m\) above ground at the maximum height and at 1.5 \(m\) above the ground at the lowest point. Her maximum velocity in the swing is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)
1 \(2 \sqrt{5} m s^{-1}\)
2 \(5 \sqrt{2} m s^{-1}\)
3 \(3 \sqrt{2} m s^{-1}\)
4 \(2 \sqrt{3} m s^{-1}\)
Explanation:
At the highest point, \(v=0, h_{1}=2.5 m\) \(\therefore\) Toatal energy, \(E_{1}=m g h_{1}+0=m g h_{1}\) At the lowest point,\(v = ?,{h_2} = 1.5\;cm\) \(\therefore\) Total energy, \(E_{2}=m g h_{2}+\dfrac{1}{2} m v^{2}\) \(\begin{gathered}E_{1}=E_{2} \\m g h_{1}=\dfrac{1}{2} m v^{2}+m g h_{2} \\v^{2}=2 g\left(h_{1}-h_{2}\right) \\v=\sqrt{2 \times 10 \times(2.5-1.5)}=2 \sqrt{5} m s^{-1}\end{gathered}\)
PHXI06:WORK ENERGY AND POWER
355733
For a particle moving in vertical circle, the total energy at different positions along the path
1 Is conserved
2 Increases
3 Decreases
4 May increase or decrease
Explanation:
When a particle is moving a verticle circle its total mechanical energy remains conserved, kinetic energy changes into potential energy and vice - versa
MHTCET - 2017
PHXI06:WORK ENERGY AND POWER
355734
A stone tied to a string is rotated in a vertical circle. The minimum speed with which the stone has to be rotated.
1 Decreases with increasing mass of the stone
2 Is independent of the mass of the stone
3 Decreases with increasing in length of the string
4 Is independent of the length of the string
Explanation:
Conceptual Question
PHXI06:WORK ENERGY AND POWER
355735
A bottle of soda water is rotated in a vertical circle with the neck held in hand. The air bubbles are collected.
1 near the neck
2 near the bottom
3 at the middle
4 at the centre of bottle
Explanation:
When the bottle is in rotation the pressure increases radially away so the bubbles come towards the centre that is towards the neck.
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PHXI06:WORK ENERGY AND POWER
355732
A girl in a swing is 2.5 \(m\) above ground at the maximum height and at 1.5 \(m\) above the ground at the lowest point. Her maximum velocity in the swing is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)
1 \(2 \sqrt{5} m s^{-1}\)
2 \(5 \sqrt{2} m s^{-1}\)
3 \(3 \sqrt{2} m s^{-1}\)
4 \(2 \sqrt{3} m s^{-1}\)
Explanation:
At the highest point, \(v=0, h_{1}=2.5 m\) \(\therefore\) Toatal energy, \(E_{1}=m g h_{1}+0=m g h_{1}\) At the lowest point,\(v = ?,{h_2} = 1.5\;cm\) \(\therefore\) Total energy, \(E_{2}=m g h_{2}+\dfrac{1}{2} m v^{2}\) \(\begin{gathered}E_{1}=E_{2} \\m g h_{1}=\dfrac{1}{2} m v^{2}+m g h_{2} \\v^{2}=2 g\left(h_{1}-h_{2}\right) \\v=\sqrt{2 \times 10 \times(2.5-1.5)}=2 \sqrt{5} m s^{-1}\end{gathered}\)
PHXI06:WORK ENERGY AND POWER
355733
For a particle moving in vertical circle, the total energy at different positions along the path
1 Is conserved
2 Increases
3 Decreases
4 May increase or decrease
Explanation:
When a particle is moving a verticle circle its total mechanical energy remains conserved, kinetic energy changes into potential energy and vice - versa
MHTCET - 2017
PHXI06:WORK ENERGY AND POWER
355734
A stone tied to a string is rotated in a vertical circle. The minimum speed with which the stone has to be rotated.
1 Decreases with increasing mass of the stone
2 Is independent of the mass of the stone
3 Decreases with increasing in length of the string
4 Is independent of the length of the string
Explanation:
Conceptual Question
PHXI06:WORK ENERGY AND POWER
355735
A bottle of soda water is rotated in a vertical circle with the neck held in hand. The air bubbles are collected.
1 near the neck
2 near the bottom
3 at the middle
4 at the centre of bottle
Explanation:
When the bottle is in rotation the pressure increases radially away so the bubbles come towards the centre that is towards the neck.
355732
A girl in a swing is 2.5 \(m\) above ground at the maximum height and at 1.5 \(m\) above the ground at the lowest point. Her maximum velocity in the swing is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)
1 \(2 \sqrt{5} m s^{-1}\)
2 \(5 \sqrt{2} m s^{-1}\)
3 \(3 \sqrt{2} m s^{-1}\)
4 \(2 \sqrt{3} m s^{-1}\)
Explanation:
At the highest point, \(v=0, h_{1}=2.5 m\) \(\therefore\) Toatal energy, \(E_{1}=m g h_{1}+0=m g h_{1}\) At the lowest point,\(v = ?,{h_2} = 1.5\;cm\) \(\therefore\) Total energy, \(E_{2}=m g h_{2}+\dfrac{1}{2} m v^{2}\) \(\begin{gathered}E_{1}=E_{2} \\m g h_{1}=\dfrac{1}{2} m v^{2}+m g h_{2} \\v^{2}=2 g\left(h_{1}-h_{2}\right) \\v=\sqrt{2 \times 10 \times(2.5-1.5)}=2 \sqrt{5} m s^{-1}\end{gathered}\)
PHXI06:WORK ENERGY AND POWER
355733
For a particle moving in vertical circle, the total energy at different positions along the path
1 Is conserved
2 Increases
3 Decreases
4 May increase or decrease
Explanation:
When a particle is moving a verticle circle its total mechanical energy remains conserved, kinetic energy changes into potential energy and vice - versa
MHTCET - 2017
PHXI06:WORK ENERGY AND POWER
355734
A stone tied to a string is rotated in a vertical circle. The minimum speed with which the stone has to be rotated.
1 Decreases with increasing mass of the stone
2 Is independent of the mass of the stone
3 Decreases with increasing in length of the string
4 Is independent of the length of the string
Explanation:
Conceptual Question
PHXI06:WORK ENERGY AND POWER
355735
A bottle of soda water is rotated in a vertical circle with the neck held in hand. The air bubbles are collected.
1 near the neck
2 near the bottom
3 at the middle
4 at the centre of bottle
Explanation:
When the bottle is in rotation the pressure increases radially away so the bubbles come towards the centre that is towards the neck.
355732
A girl in a swing is 2.5 \(m\) above ground at the maximum height and at 1.5 \(m\) above the ground at the lowest point. Her maximum velocity in the swing is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)
1 \(2 \sqrt{5} m s^{-1}\)
2 \(5 \sqrt{2} m s^{-1}\)
3 \(3 \sqrt{2} m s^{-1}\)
4 \(2 \sqrt{3} m s^{-1}\)
Explanation:
At the highest point, \(v=0, h_{1}=2.5 m\) \(\therefore\) Toatal energy, \(E_{1}=m g h_{1}+0=m g h_{1}\) At the lowest point,\(v = ?,{h_2} = 1.5\;cm\) \(\therefore\) Total energy, \(E_{2}=m g h_{2}+\dfrac{1}{2} m v^{2}\) \(\begin{gathered}E_{1}=E_{2} \\m g h_{1}=\dfrac{1}{2} m v^{2}+m g h_{2} \\v^{2}=2 g\left(h_{1}-h_{2}\right) \\v=\sqrt{2 \times 10 \times(2.5-1.5)}=2 \sqrt{5} m s^{-1}\end{gathered}\)
PHXI06:WORK ENERGY AND POWER
355733
For a particle moving in vertical circle, the total energy at different positions along the path
1 Is conserved
2 Increases
3 Decreases
4 May increase or decrease
Explanation:
When a particle is moving a verticle circle its total mechanical energy remains conserved, kinetic energy changes into potential energy and vice - versa
MHTCET - 2017
PHXI06:WORK ENERGY AND POWER
355734
A stone tied to a string is rotated in a vertical circle. The minimum speed with which the stone has to be rotated.
1 Decreases with increasing mass of the stone
2 Is independent of the mass of the stone
3 Decreases with increasing in length of the string
4 Is independent of the length of the string
Explanation:
Conceptual Question
PHXI06:WORK ENERGY AND POWER
355735
A bottle of soda water is rotated in a vertical circle with the neck held in hand. The air bubbles are collected.
1 near the neck
2 near the bottom
3 at the middle
4 at the centre of bottle
Explanation:
When the bottle is in rotation the pressure increases radially away so the bubbles come towards the centre that is towards the neck.