Newton’s Law of Motion
PHXI05:LAWS OF MOTION

363553 A ladder of mass \(20\,kg\) is hanging from ceiling as shown in figure. Three men \({A, B}\) and \({C}\) of masses \({40 {~kg}, 60 {~kg}}\) and \(50\,kg\) are climbing the ladder. Man \({A}\) is climbing with upward retardation \({2 {~m} / {s}^{2}, B}\) is climbing up with a constant speed of \({0.5 {~m} / {s}}\) and \({C}\) is climbing with upward acceleration of \({1 {~m} / {s}^{2}}\). Find the tension in the string supporting the ladder.
supporting img

1 \(1670\,N\)
2 \(2350\,N\)
3 \(1296\,N\)
4 \(3475\,N\)
PHXI05:LAWS OF MOTION

363554 A light rope supporting four monkeys is hanging from roof as shown in the figure. Monkey 1 of mass 15 \(kg\) is going upwards with an acceleration \(1 {~m} / {s}^{2}\). Monkey 2 of mass 25 \(kg\) is going downwards with acceleration \(3 {~m} / {s}^{2}\). Monkey 3 of mass 20 \(kg\) is at rest. Monkey 4 of mass 40 \(kg\) is coming downwards with constant speed. Find out the force by ceiling on the rope. Take \(g=10 {~m} / {s}^{2}\).
supporting img

1 \(675\,N\)
2 \(940\,N\)
3 \(870\,N\)
4 \(540\,N\)
PHXI05:LAWS OF MOTION

363555 Assertion :
The acceleration produced by a force in the motion of a body depends only upon its mass.
Reason :
Larger is the mass of the body, lesser will be the acceleration produced.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363556 The linear momentum \(p\) of a body moving in one dimension varies with time according to the equation \(p = a + b{t^2}\) where \(a\) and \(b\) are positive constants. The net force acting on the body is

1 A constant
2 Proportional to \({t^2}\)
3 Inversely proportional to \(t\)
4 Proportional to \(t\)
PHXI05:LAWS OF MOTION

363553 A ladder of mass \(20\,kg\) is hanging from ceiling as shown in figure. Three men \({A, B}\) and \({C}\) of masses \({40 {~kg}, 60 {~kg}}\) and \(50\,kg\) are climbing the ladder. Man \({A}\) is climbing with upward retardation \({2 {~m} / {s}^{2}, B}\) is climbing up with a constant speed of \({0.5 {~m} / {s}}\) and \({C}\) is climbing with upward acceleration of \({1 {~m} / {s}^{2}}\). Find the tension in the string supporting the ladder.
supporting img

1 \(1670\,N\)
2 \(2350\,N\)
3 \(1296\,N\)
4 \(3475\,N\)
PHXI05:LAWS OF MOTION

363554 A light rope supporting four monkeys is hanging from roof as shown in the figure. Monkey 1 of mass 15 \(kg\) is going upwards with an acceleration \(1 {~m} / {s}^{2}\). Monkey 2 of mass 25 \(kg\) is going downwards with acceleration \(3 {~m} / {s}^{2}\). Monkey 3 of mass 20 \(kg\) is at rest. Monkey 4 of mass 40 \(kg\) is coming downwards with constant speed. Find out the force by ceiling on the rope. Take \(g=10 {~m} / {s}^{2}\).
supporting img

1 \(675\,N\)
2 \(940\,N\)
3 \(870\,N\)
4 \(540\,N\)
PHXI05:LAWS OF MOTION

363555 Assertion :
The acceleration produced by a force in the motion of a body depends only upon its mass.
Reason :
Larger is the mass of the body, lesser will be the acceleration produced.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363556 The linear momentum \(p\) of a body moving in one dimension varies with time according to the equation \(p = a + b{t^2}\) where \(a\) and \(b\) are positive constants. The net force acting on the body is

1 A constant
2 Proportional to \({t^2}\)
3 Inversely proportional to \(t\)
4 Proportional to \(t\)
PHXI05:LAWS OF MOTION

363553 A ladder of mass \(20\,kg\) is hanging from ceiling as shown in figure. Three men \({A, B}\) and \({C}\) of masses \({40 {~kg}, 60 {~kg}}\) and \(50\,kg\) are climbing the ladder. Man \({A}\) is climbing with upward retardation \({2 {~m} / {s}^{2}, B}\) is climbing up with a constant speed of \({0.5 {~m} / {s}}\) and \({C}\) is climbing with upward acceleration of \({1 {~m} / {s}^{2}}\). Find the tension in the string supporting the ladder.
supporting img

1 \(1670\,N\)
2 \(2350\,N\)
3 \(1296\,N\)
4 \(3475\,N\)
PHXI05:LAWS OF MOTION

363554 A light rope supporting four monkeys is hanging from roof as shown in the figure. Monkey 1 of mass 15 \(kg\) is going upwards with an acceleration \(1 {~m} / {s}^{2}\). Monkey 2 of mass 25 \(kg\) is going downwards with acceleration \(3 {~m} / {s}^{2}\). Monkey 3 of mass 20 \(kg\) is at rest. Monkey 4 of mass 40 \(kg\) is coming downwards with constant speed. Find out the force by ceiling on the rope. Take \(g=10 {~m} / {s}^{2}\).
supporting img

1 \(675\,N\)
2 \(940\,N\)
3 \(870\,N\)
4 \(540\,N\)
PHXI05:LAWS OF MOTION

363555 Assertion :
The acceleration produced by a force in the motion of a body depends only upon its mass.
Reason :
Larger is the mass of the body, lesser will be the acceleration produced.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363556 The linear momentum \(p\) of a body moving in one dimension varies with time according to the equation \(p = a + b{t^2}\) where \(a\) and \(b\) are positive constants. The net force acting on the body is

1 A constant
2 Proportional to \({t^2}\)
3 Inversely proportional to \(t\)
4 Proportional to \(t\)
PHXI05:LAWS OF MOTION

363553 A ladder of mass \(20\,kg\) is hanging from ceiling as shown in figure. Three men \({A, B}\) and \({C}\) of masses \({40 {~kg}, 60 {~kg}}\) and \(50\,kg\) are climbing the ladder. Man \({A}\) is climbing with upward retardation \({2 {~m} / {s}^{2}, B}\) is climbing up with a constant speed of \({0.5 {~m} / {s}}\) and \({C}\) is climbing with upward acceleration of \({1 {~m} / {s}^{2}}\). Find the tension in the string supporting the ladder.
supporting img

1 \(1670\,N\)
2 \(2350\,N\)
3 \(1296\,N\)
4 \(3475\,N\)
PHXI05:LAWS OF MOTION

363554 A light rope supporting four monkeys is hanging from roof as shown in the figure. Monkey 1 of mass 15 \(kg\) is going upwards with an acceleration \(1 {~m} / {s}^{2}\). Monkey 2 of mass 25 \(kg\) is going downwards with acceleration \(3 {~m} / {s}^{2}\). Monkey 3 of mass 20 \(kg\) is at rest. Monkey 4 of mass 40 \(kg\) is coming downwards with constant speed. Find out the force by ceiling on the rope. Take \(g=10 {~m} / {s}^{2}\).
supporting img

1 \(675\,N\)
2 \(940\,N\)
3 \(870\,N\)
4 \(540\,N\)
PHXI05:LAWS OF MOTION

363555 Assertion :
The acceleration produced by a force in the motion of a body depends only upon its mass.
Reason :
Larger is the mass of the body, lesser will be the acceleration produced.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363556 The linear momentum \(p\) of a body moving in one dimension varies with time according to the equation \(p = a + b{t^2}\) where \(a\) and \(b\) are positive constants. The net force acting on the body is

1 A constant
2 Proportional to \({t^2}\)
3 Inversely proportional to \(t\)
4 Proportional to \(t\)
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