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

355651 Two blocks with masses \({m_{1}=3 {~kg}}\) and \({m_{2}=5 {~kg}}\) are connected by a light string that slides over a frictionless pulley as shown in figure. Initially, \({m_{2}}\), is held \(5\,m\) off the floor while \({m_{1}}\) is on the floor. The system is then released. At what speed does \({m_{2}}\) hit the floor?
supporting img

1 \(10\,m/s\)
2 \(5\,m/s\)
3 \(7\,m/s\)
4 \(9\,m/s\)
PHXI06:WORK ENERGY AND POWER

355652 A particle of mass \(m\) at rest is acted upon by a force \(F\) for a time \(t\). Its kinetic energy after an interval \(t\) is

1 \(\dfrac{F t}{2 m}\)
2 \(\dfrac{F^{2} t^{2}}{2 m}\)
3 \(\dfrac{F^{2} t^{2}}{3 m}\)
4 \(\dfrac{F^{2} t^{2}}{m}\)
PHXI06:WORK ENERGY AND POWER

355653 When workdone on a particle is positive
(A) \(K\).\(E\) remains constant
(B) Momentum increases
(C) \(K\).\(E\) increases
(D) \(K\).\(E\) decreases

1 \(A, B\)
2 \(B, C\)
3 \(B, D\)
4 \(A\) only
PHXI06:WORK ENERGY AND POWER

355654 A uniform chain of length \(L\) and mass \(M\) overhangs a horizontal table with its two-third part on a table. The friction coefficient between the table and the chain is \(\mu\). The work done by the friction during the period the chain slips off the table is

1 \(-\dfrac{6}{7} \mu M g L\)
2 \(-\dfrac{2}{9} \mu M g L\)
3 \(-\dfrac{1}{4} \mu M g L\)
4 \(-\dfrac{4}{9} \mu M g L\)
PHXI06:WORK ENERGY AND POWER

355651 Two blocks with masses \({m_{1}=3 {~kg}}\) and \({m_{2}=5 {~kg}}\) are connected by a light string that slides over a frictionless pulley as shown in figure. Initially, \({m_{2}}\), is held \(5\,m\) off the floor while \({m_{1}}\) is on the floor. The system is then released. At what speed does \({m_{2}}\) hit the floor?
supporting img

1 \(10\,m/s\)
2 \(5\,m/s\)
3 \(7\,m/s\)
4 \(9\,m/s\)
PHXI06:WORK ENERGY AND POWER

355652 A particle of mass \(m\) at rest is acted upon by a force \(F\) for a time \(t\). Its kinetic energy after an interval \(t\) is

1 \(\dfrac{F t}{2 m}\)
2 \(\dfrac{F^{2} t^{2}}{2 m}\)
3 \(\dfrac{F^{2} t^{2}}{3 m}\)
4 \(\dfrac{F^{2} t^{2}}{m}\)
PHXI06:WORK ENERGY AND POWER

355653 When workdone on a particle is positive
(A) \(K\).\(E\) remains constant
(B) Momentum increases
(C) \(K\).\(E\) increases
(D) \(K\).\(E\) decreases

1 \(A, B\)
2 \(B, C\)
3 \(B, D\)
4 \(A\) only
PHXI06:WORK ENERGY AND POWER

355654 A uniform chain of length \(L\) and mass \(M\) overhangs a horizontal table with its two-third part on a table. The friction coefficient between the table and the chain is \(\mu\). The work done by the friction during the period the chain slips off the table is

1 \(-\dfrac{6}{7} \mu M g L\)
2 \(-\dfrac{2}{9} \mu M g L\)
3 \(-\dfrac{1}{4} \mu M g L\)
4 \(-\dfrac{4}{9} \mu M g L\)
PHXI06:WORK ENERGY AND POWER

355651 Two blocks with masses \({m_{1}=3 {~kg}}\) and \({m_{2}=5 {~kg}}\) are connected by a light string that slides over a frictionless pulley as shown in figure. Initially, \({m_{2}}\), is held \(5\,m\) off the floor while \({m_{1}}\) is on the floor. The system is then released. At what speed does \({m_{2}}\) hit the floor?
supporting img

1 \(10\,m/s\)
2 \(5\,m/s\)
3 \(7\,m/s\)
4 \(9\,m/s\)
PHXI06:WORK ENERGY AND POWER

355652 A particle of mass \(m\) at rest is acted upon by a force \(F\) for a time \(t\). Its kinetic energy after an interval \(t\) is

1 \(\dfrac{F t}{2 m}\)
2 \(\dfrac{F^{2} t^{2}}{2 m}\)
3 \(\dfrac{F^{2} t^{2}}{3 m}\)
4 \(\dfrac{F^{2} t^{2}}{m}\)
PHXI06:WORK ENERGY AND POWER

355653 When workdone on a particle is positive
(A) \(K\).\(E\) remains constant
(B) Momentum increases
(C) \(K\).\(E\) increases
(D) \(K\).\(E\) decreases

1 \(A, B\)
2 \(B, C\)
3 \(B, D\)
4 \(A\) only
PHXI06:WORK ENERGY AND POWER

355654 A uniform chain of length \(L\) and mass \(M\) overhangs a horizontal table with its two-third part on a table. The friction coefficient between the table and the chain is \(\mu\). The work done by the friction during the period the chain slips off the table is

1 \(-\dfrac{6}{7} \mu M g L\)
2 \(-\dfrac{2}{9} \mu M g L\)
3 \(-\dfrac{1}{4} \mu M g L\)
4 \(-\dfrac{4}{9} \mu M g L\)
PHXI06:WORK ENERGY AND POWER

355651 Two blocks with masses \({m_{1}=3 {~kg}}\) and \({m_{2}=5 {~kg}}\) are connected by a light string that slides over a frictionless pulley as shown in figure. Initially, \({m_{2}}\), is held \(5\,m\) off the floor while \({m_{1}}\) is on the floor. The system is then released. At what speed does \({m_{2}}\) hit the floor?
supporting img

1 \(10\,m/s\)
2 \(5\,m/s\)
3 \(7\,m/s\)
4 \(9\,m/s\)
PHXI06:WORK ENERGY AND POWER

355652 A particle of mass \(m\) at rest is acted upon by a force \(F\) for a time \(t\). Its kinetic energy after an interval \(t\) is

1 \(\dfrac{F t}{2 m}\)
2 \(\dfrac{F^{2} t^{2}}{2 m}\)
3 \(\dfrac{F^{2} t^{2}}{3 m}\)
4 \(\dfrac{F^{2} t^{2}}{m}\)
PHXI06:WORK ENERGY AND POWER

355653 When workdone on a particle is positive
(A) \(K\).\(E\) remains constant
(B) Momentum increases
(C) \(K\).\(E\) increases
(D) \(K\).\(E\) decreases

1 \(A, B\)
2 \(B, C\)
3 \(B, D\)
4 \(A\) only
PHXI06:WORK ENERGY AND POWER

355654 A uniform chain of length \(L\) and mass \(M\) overhangs a horizontal table with its two-third part on a table. The friction coefficient between the table and the chain is \(\mu\). The work done by the friction during the period the chain slips off the table is

1 \(-\dfrac{6}{7} \mu M g L\)
2 \(-\dfrac{2}{9} \mu M g L\)
3 \(-\dfrac{1}{4} \mu M g L\)
4 \(-\dfrac{4}{9} \mu M g L\)
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