The Work-Energy Theorem for a Constant/Variable Force
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PHXI06:WORK ENERGY AND POWER

355655 A small ball of mass \(m\) starts at a point \(A\) with speed \(\mathrm{v}_{0}\) and moves along a frictionless track \(AB\) as shown. The track \(BC\) has coefficient of friction \(\mu\). The ball comes to stop at \(C\) after travelling a distance \(L\) which is :-
supporting img

1 \(\frac{h}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
2 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{\mu g}}\)
3 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{2\mu g}}\)
4 \(\frac{{2\;h}}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
JEE - 2014
PHXI06:WORK ENERGY AND POWER

355656 A \(10\;kg\) mass moves \(3.0\;m\) against a retarding force shown in the figure. If the force is zero at the beginning, then how much kinetic energy is changed?
supporting img

1 \(6 J\)
2 \(-6 J\)
3 \(12 J\)
4 \(-12 J\)
PHXI06:WORK ENERGY AND POWER

355657 The graph between the resistive force \(F\) acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 2.5 \(kg\) and initial velocity is 2 \(m/s\). When the distance covered by the body is 4 \(m\) , its kinetic energy would be
supporting img

1 50 \(J\)
2 40 \(J\)
3 20 \(J\)
4 10 \(J\)
PHXI06:WORK ENERGY AND POWER

355658 A 3.00- \(kg\) object has a velocity \((6.00\hat i + 1.00\hat j)m/s\). What is the net work done on the object if its velocity changes to \((8.00\hat i + 4.00\hat j)m/s\)?

1 60.5 \(J\)
2 64.5 \(J\)
3 62.5 \(J\)
4 61.5 \(J\)
PHXI06:WORK ENERGY AND POWER

355659 In the given figure, ball \({A}\) is released from rest when the spring is at its natural (unstretched) length. For the block \({B}\) of mass \({M}\) to leave contact with the ground at some stage, the minimum mass of \({A}\) must be
supporting img

1 \({2 M}\)
2 \({M}\)
3 \({M / 2}\)
4 a function of \({M}\) and the force constant of the spring.
NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355655 A small ball of mass \(m\) starts at a point \(A\) with speed \(\mathrm{v}_{0}\) and moves along a frictionless track \(AB\) as shown. The track \(BC\) has coefficient of friction \(\mu\). The ball comes to stop at \(C\) after travelling a distance \(L\) which is :-
supporting img

1 \(\frac{h}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
2 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{\mu g}}\)
3 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{2\mu g}}\)
4 \(\frac{{2\;h}}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
JEE - 2014
PHXI06:WORK ENERGY AND POWER

355656 A \(10\;kg\) mass moves \(3.0\;m\) against a retarding force shown in the figure. If the force is zero at the beginning, then how much kinetic energy is changed?
supporting img

1 \(6 J\)
2 \(-6 J\)
3 \(12 J\)
4 \(-12 J\)
PHXI06:WORK ENERGY AND POWER

355657 The graph between the resistive force \(F\) acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 2.5 \(kg\) and initial velocity is 2 \(m/s\). When the distance covered by the body is 4 \(m\) , its kinetic energy would be
supporting img

1 50 \(J\)
2 40 \(J\)
3 20 \(J\)
4 10 \(J\)
PHXI06:WORK ENERGY AND POWER

355658 A 3.00- \(kg\) object has a velocity \((6.00\hat i + 1.00\hat j)m/s\). What is the net work done on the object if its velocity changes to \((8.00\hat i + 4.00\hat j)m/s\)?

1 60.5 \(J\)
2 64.5 \(J\)
3 62.5 \(J\)
4 61.5 \(J\)
PHXI06:WORK ENERGY AND POWER

355659 In the given figure, ball \({A}\) is released from rest when the spring is at its natural (unstretched) length. For the block \({B}\) of mass \({M}\) to leave contact with the ground at some stage, the minimum mass of \({A}\) must be
supporting img

1 \({2 M}\)
2 \({M}\)
3 \({M / 2}\)
4 a function of \({M}\) and the force constant of the spring.
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PHXI06:WORK ENERGY AND POWER

355655 A small ball of mass \(m\) starts at a point \(A\) with speed \(\mathrm{v}_{0}\) and moves along a frictionless track \(AB\) as shown. The track \(BC\) has coefficient of friction \(\mu\). The ball comes to stop at \(C\) after travelling a distance \(L\) which is :-
supporting img

1 \(\frac{h}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
2 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{\mu g}}\)
3 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{2\mu g}}\)
4 \(\frac{{2\;h}}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
JEE - 2014
PHXI06:WORK ENERGY AND POWER

355656 A \(10\;kg\) mass moves \(3.0\;m\) against a retarding force shown in the figure. If the force is zero at the beginning, then how much kinetic energy is changed?
supporting img

1 \(6 J\)
2 \(-6 J\)
3 \(12 J\)
4 \(-12 J\)
PHXI06:WORK ENERGY AND POWER

355657 The graph between the resistive force \(F\) acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 2.5 \(kg\) and initial velocity is 2 \(m/s\). When the distance covered by the body is 4 \(m\) , its kinetic energy would be
supporting img

1 50 \(J\)
2 40 \(J\)
3 20 \(J\)
4 10 \(J\)
PHXI06:WORK ENERGY AND POWER

355658 A 3.00- \(kg\) object has a velocity \((6.00\hat i + 1.00\hat j)m/s\). What is the net work done on the object if its velocity changes to \((8.00\hat i + 4.00\hat j)m/s\)?

1 60.5 \(J\)
2 64.5 \(J\)
3 62.5 \(J\)
4 61.5 \(J\)
PHXI06:WORK ENERGY AND POWER

355659 In the given figure, ball \({A}\) is released from rest when the spring is at its natural (unstretched) length. For the block \({B}\) of mass \({M}\) to leave contact with the ground at some stage, the minimum mass of \({A}\) must be
supporting img

1 \({2 M}\)
2 \({M}\)
3 \({M / 2}\)
4 a function of \({M}\) and the force constant of the spring.
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PHXI06:WORK ENERGY AND POWER

355655 A small ball of mass \(m\) starts at a point \(A\) with speed \(\mathrm{v}_{0}\) and moves along a frictionless track \(AB\) as shown. The track \(BC\) has coefficient of friction \(\mu\). The ball comes to stop at \(C\) after travelling a distance \(L\) which is :-
supporting img

1 \(\frac{h}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
2 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{\mu g}}\)
3 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{2\mu g}}\)
4 \(\frac{{2\;h}}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
JEE - 2014
PHXI06:WORK ENERGY AND POWER

355656 A \(10\;kg\) mass moves \(3.0\;m\) against a retarding force shown in the figure. If the force is zero at the beginning, then how much kinetic energy is changed?
supporting img

1 \(6 J\)
2 \(-6 J\)
3 \(12 J\)
4 \(-12 J\)
PHXI06:WORK ENERGY AND POWER

355657 The graph between the resistive force \(F\) acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 2.5 \(kg\) and initial velocity is 2 \(m/s\). When the distance covered by the body is 4 \(m\) , its kinetic energy would be
supporting img

1 50 \(J\)
2 40 \(J\)
3 20 \(J\)
4 10 \(J\)
PHXI06:WORK ENERGY AND POWER

355658 A 3.00- \(kg\) object has a velocity \((6.00\hat i + 1.00\hat j)m/s\). What is the net work done on the object if its velocity changes to \((8.00\hat i + 4.00\hat j)m/s\)?

1 60.5 \(J\)
2 64.5 \(J\)
3 62.5 \(J\)
4 61.5 \(J\)
PHXI06:WORK ENERGY AND POWER

355659 In the given figure, ball \({A}\) is released from rest when the spring is at its natural (unstretched) length. For the block \({B}\) of mass \({M}\) to leave contact with the ground at some stage, the minimum mass of \({A}\) must be
supporting img

1 \({2 M}\)
2 \({M}\)
3 \({M / 2}\)
4 a function of \({M}\) and the force constant of the spring.
NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355655 A small ball of mass \(m\) starts at a point \(A\) with speed \(\mathrm{v}_{0}\) and moves along a frictionless track \(AB\) as shown. The track \(BC\) has coefficient of friction \(\mu\). The ball comes to stop at \(C\) after travelling a distance \(L\) which is :-
supporting img

1 \(\frac{h}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
2 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{\mu g}}\)
3 \(\frac{h}{{2\mu }} + \frac{{v_0^2}}{{2\mu g}}\)
4 \(\frac{{2\;h}}{\mu } + \frac{{v_0^2}}{{2\mu g}}\)
JEE - 2014
PHXI06:WORK ENERGY AND POWER

355656 A \(10\;kg\) mass moves \(3.0\;m\) against a retarding force shown in the figure. If the force is zero at the beginning, then how much kinetic energy is changed?
supporting img

1 \(6 J\)
2 \(-6 J\)
3 \(12 J\)
4 \(-12 J\)
PHXI06:WORK ENERGY AND POWER

355657 The graph between the resistive force \(F\) acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 2.5 \(kg\) and initial velocity is 2 \(m/s\). When the distance covered by the body is 4 \(m\) , its kinetic energy would be
supporting img

1 50 \(J\)
2 40 \(J\)
3 20 \(J\)
4 10 \(J\)
PHXI06:WORK ENERGY AND POWER

355658 A 3.00- \(kg\) object has a velocity \((6.00\hat i + 1.00\hat j)m/s\). What is the net work done on the object if its velocity changes to \((8.00\hat i + 4.00\hat j)m/s\)?

1 60.5 \(J\)
2 64.5 \(J\)
3 62.5 \(J\)
4 61.5 \(J\)
PHXI06:WORK ENERGY AND POWER

355659 In the given figure, ball \({A}\) is released from rest when the spring is at its natural (unstretched) length. For the block \({B}\) of mass \({M}\) to leave contact with the ground at some stage, the minimum mass of \({A}\) must be
supporting img

1 \({2 M}\)
2 \({M}\)
3 \({M / 2}\)
4 a function of \({M}\) and the force constant of the spring.