Applications of Newton’s Laws
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PHXI05:LAWS OF MOTION

363065 A trolley of mass 5 \(kg\) on a horizontal smooth surface is pulled by a load of 2 \(kg\) through a uniform rope \(ABC\) of length 2 \(m\) and mass 1 \(kg\) (see fig). As the load falls from \(BC = 0\) to \(BC = 2\,m\), its acceleration (in \(m/{s^2}\)) changes from:
supporting img

1 \(\frac{{20}}{6}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
2 \(\frac{{20}}{8}\,\,{\rm{to}}\,\,\frac{{30}}{8}\)
3 \(\frac{{20}}{5}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363066 In the pulley system shown the string and pulley are massless. Find the acceleration of 3 \(kg\) block.
supporting img

1 \(4\,m/{s^2}\)
2 \(2\,m/{s^2}\)
3 \(1\,m/{s^2}\)
4 \(3\,m/{s^2}\)
PHXI05:LAWS OF MOTION

363067 In the figure shown, all pulleys are massless and frictionless. If the length of the rod \(l=3.0 {~m}\), then find the time taken by the particle to reach the upper end of the rod. (Take \(g=10 {~m} / {s}^{2}\)).
supporting img

1 \(4\,s\)
2 \(7\,s\)
3 \(1\,s\)
4 \(2\,s\)
PHXI05:LAWS OF MOTION

363068 The acceleration of system of two bodies over the wedge as shown in figure is
supporting img

1 \(1\,\,m{s^{ - 2}}\)
2 \(2\,\,m{s^{ - 2}}\)
3 \(0.5\,m{s^{ - 2}}\)
4 \(10\,\,m{s^{ - 2}}\)
PHXI05:LAWS OF MOTION

363069 A massless string of length \(l\) passes over a frictionless pulley with horizontal axis. Two monkeys hang from the ends of the string at the distance \(l\)/2 from the pulley, a monkey start climbing up with a speed \(v\) relative to the string and the second with speed of 2 \(v\). Both monkeys have got same masses. The time taken by the first and second monkeys in reaching the pulleys are respectively.

1 \(\left( {\frac{l}{v}} \right) \cdot \left( {\frac{l}{{2\,v}}} \right)\)
2 \(\sqrt {\frac{{2\,l}}{v}} \cdot \sqrt {\frac{l}{v}} \)
3 \({\left( {\frac{l}{{2v}}} \right)^{\frac{1}{2}}} \cdot {\left( {\frac{l}{v}} \right)^{\frac{1}{2}}}\)
4 \(\left( {\frac{l}{{3\,v}}} \right) \cdot \left( {\frac{l}{{3\,v}}} \right)\)
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PHXI05:LAWS OF MOTION

363065 A trolley of mass 5 \(kg\) on a horizontal smooth surface is pulled by a load of 2 \(kg\) through a uniform rope \(ABC\) of length 2 \(m\) and mass 1 \(kg\) (see fig). As the load falls from \(BC = 0\) to \(BC = 2\,m\), its acceleration (in \(m/{s^2}\)) changes from:
supporting img

1 \(\frac{{20}}{6}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
2 \(\frac{{20}}{8}\,\,{\rm{to}}\,\,\frac{{30}}{8}\)
3 \(\frac{{20}}{5}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363066 In the pulley system shown the string and pulley are massless. Find the acceleration of 3 \(kg\) block.
supporting img

1 \(4\,m/{s^2}\)
2 \(2\,m/{s^2}\)
3 \(1\,m/{s^2}\)
4 \(3\,m/{s^2}\)
PHXI05:LAWS OF MOTION

363067 In the figure shown, all pulleys are massless and frictionless. If the length of the rod \(l=3.0 {~m}\), then find the time taken by the particle to reach the upper end of the rod. (Take \(g=10 {~m} / {s}^{2}\)).
supporting img

1 \(4\,s\)
2 \(7\,s\)
3 \(1\,s\)
4 \(2\,s\)
PHXI05:LAWS OF MOTION

363068 The acceleration of system of two bodies over the wedge as shown in figure is
supporting img

1 \(1\,\,m{s^{ - 2}}\)
2 \(2\,\,m{s^{ - 2}}\)
3 \(0.5\,m{s^{ - 2}}\)
4 \(10\,\,m{s^{ - 2}}\)
PHXI05:LAWS OF MOTION

363069 A massless string of length \(l\) passes over a frictionless pulley with horizontal axis. Two monkeys hang from the ends of the string at the distance \(l\)/2 from the pulley, a monkey start climbing up with a speed \(v\) relative to the string and the second with speed of 2 \(v\). Both monkeys have got same masses. The time taken by the first and second monkeys in reaching the pulleys are respectively.

1 \(\left( {\frac{l}{v}} \right) \cdot \left( {\frac{l}{{2\,v}}} \right)\)
2 \(\sqrt {\frac{{2\,l}}{v}} \cdot \sqrt {\frac{l}{v}} \)
3 \({\left( {\frac{l}{{2v}}} \right)^{\frac{1}{2}}} \cdot {\left( {\frac{l}{v}} \right)^{\frac{1}{2}}}\)
4 \(\left( {\frac{l}{{3\,v}}} \right) \cdot \left( {\frac{l}{{3\,v}}} \right)\)
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PHXI05:LAWS OF MOTION

363065 A trolley of mass 5 \(kg\) on a horizontal smooth surface is pulled by a load of 2 \(kg\) through a uniform rope \(ABC\) of length 2 \(m\) and mass 1 \(kg\) (see fig). As the load falls from \(BC = 0\) to \(BC = 2\,m\), its acceleration (in \(m/{s^2}\)) changes from:
supporting img

1 \(\frac{{20}}{6}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
2 \(\frac{{20}}{8}\,\,{\rm{to}}\,\,\frac{{30}}{8}\)
3 \(\frac{{20}}{5}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363066 In the pulley system shown the string and pulley are massless. Find the acceleration of 3 \(kg\) block.
supporting img

1 \(4\,m/{s^2}\)
2 \(2\,m/{s^2}\)
3 \(1\,m/{s^2}\)
4 \(3\,m/{s^2}\)
PHXI05:LAWS OF MOTION

363067 In the figure shown, all pulleys are massless and frictionless. If the length of the rod \(l=3.0 {~m}\), then find the time taken by the particle to reach the upper end of the rod. (Take \(g=10 {~m} / {s}^{2}\)).
supporting img

1 \(4\,s\)
2 \(7\,s\)
3 \(1\,s\)
4 \(2\,s\)
PHXI05:LAWS OF MOTION

363068 The acceleration of system of two bodies over the wedge as shown in figure is
supporting img

1 \(1\,\,m{s^{ - 2}}\)
2 \(2\,\,m{s^{ - 2}}\)
3 \(0.5\,m{s^{ - 2}}\)
4 \(10\,\,m{s^{ - 2}}\)
PHXI05:LAWS OF MOTION

363069 A massless string of length \(l\) passes over a frictionless pulley with horizontal axis. Two monkeys hang from the ends of the string at the distance \(l\)/2 from the pulley, a monkey start climbing up with a speed \(v\) relative to the string and the second with speed of 2 \(v\). Both monkeys have got same masses. The time taken by the first and second monkeys in reaching the pulleys are respectively.

1 \(\left( {\frac{l}{v}} \right) \cdot \left( {\frac{l}{{2\,v}}} \right)\)
2 \(\sqrt {\frac{{2\,l}}{v}} \cdot \sqrt {\frac{l}{v}} \)
3 \({\left( {\frac{l}{{2v}}} \right)^{\frac{1}{2}}} \cdot {\left( {\frac{l}{v}} \right)^{\frac{1}{2}}}\)
4 \(\left( {\frac{l}{{3\,v}}} \right) \cdot \left( {\frac{l}{{3\,v}}} \right)\)
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PHXI05:LAWS OF MOTION

363065 A trolley of mass 5 \(kg\) on a horizontal smooth surface is pulled by a load of 2 \(kg\) through a uniform rope \(ABC\) of length 2 \(m\) and mass 1 \(kg\) (see fig). As the load falls from \(BC = 0\) to \(BC = 2\,m\), its acceleration (in \(m/{s^2}\)) changes from:
supporting img

1 \(\frac{{20}}{6}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
2 \(\frac{{20}}{8}\,\,{\rm{to}}\,\,\frac{{30}}{8}\)
3 \(\frac{{20}}{5}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363066 In the pulley system shown the string and pulley are massless. Find the acceleration of 3 \(kg\) block.
supporting img

1 \(4\,m/{s^2}\)
2 \(2\,m/{s^2}\)
3 \(1\,m/{s^2}\)
4 \(3\,m/{s^2}\)
PHXI05:LAWS OF MOTION

363067 In the figure shown, all pulleys are massless and frictionless. If the length of the rod \(l=3.0 {~m}\), then find the time taken by the particle to reach the upper end of the rod. (Take \(g=10 {~m} / {s}^{2}\)).
supporting img

1 \(4\,s\)
2 \(7\,s\)
3 \(1\,s\)
4 \(2\,s\)
PHXI05:LAWS OF MOTION

363068 The acceleration of system of two bodies over the wedge as shown in figure is
supporting img

1 \(1\,\,m{s^{ - 2}}\)
2 \(2\,\,m{s^{ - 2}}\)
3 \(0.5\,m{s^{ - 2}}\)
4 \(10\,\,m{s^{ - 2}}\)
PHXI05:LAWS OF MOTION

363069 A massless string of length \(l\) passes over a frictionless pulley with horizontal axis. Two monkeys hang from the ends of the string at the distance \(l\)/2 from the pulley, a monkey start climbing up with a speed \(v\) relative to the string and the second with speed of 2 \(v\). Both monkeys have got same masses. The time taken by the first and second monkeys in reaching the pulleys are respectively.

1 \(\left( {\frac{l}{v}} \right) \cdot \left( {\frac{l}{{2\,v}}} \right)\)
2 \(\sqrt {\frac{{2\,l}}{v}} \cdot \sqrt {\frac{l}{v}} \)
3 \({\left( {\frac{l}{{2v}}} \right)^{\frac{1}{2}}} \cdot {\left( {\frac{l}{v}} \right)^{\frac{1}{2}}}\)
4 \(\left( {\frac{l}{{3\,v}}} \right) \cdot \left( {\frac{l}{{3\,v}}} \right)\)
NEET DIGITAL LIBRARY
PHXI05:LAWS OF MOTION

363065 A trolley of mass 5 \(kg\) on a horizontal smooth surface is pulled by a load of 2 \(kg\) through a uniform rope \(ABC\) of length 2 \(m\) and mass 1 \(kg\) (see fig). As the load falls from \(BC = 0\) to \(BC = 2\,m\), its acceleration (in \(m/{s^2}\)) changes from:
supporting img

1 \(\frac{{20}}{6}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
2 \(\frac{{20}}{8}\,\,{\rm{to}}\,\,\frac{{30}}{8}\)
3 \(\frac{{20}}{5}\,\,{\rm{to}}\,\,\frac{{30}}{6}\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363066 In the pulley system shown the string and pulley are massless. Find the acceleration of 3 \(kg\) block.
supporting img

1 \(4\,m/{s^2}\)
2 \(2\,m/{s^2}\)
3 \(1\,m/{s^2}\)
4 \(3\,m/{s^2}\)
PHXI05:LAWS OF MOTION

363067 In the figure shown, all pulleys are massless and frictionless. If the length of the rod \(l=3.0 {~m}\), then find the time taken by the particle to reach the upper end of the rod. (Take \(g=10 {~m} / {s}^{2}\)).
supporting img

1 \(4\,s\)
2 \(7\,s\)
3 \(1\,s\)
4 \(2\,s\)
PHXI05:LAWS OF MOTION

363068 The acceleration of system of two bodies over the wedge as shown in figure is
supporting img

1 \(1\,\,m{s^{ - 2}}\)
2 \(2\,\,m{s^{ - 2}}\)
3 \(0.5\,m{s^{ - 2}}\)
4 \(10\,\,m{s^{ - 2}}\)
PHXI05:LAWS OF MOTION

363069 A massless string of length \(l\) passes over a frictionless pulley with horizontal axis. Two monkeys hang from the ends of the string at the distance \(l\)/2 from the pulley, a monkey start climbing up with a speed \(v\) relative to the string and the second with speed of 2 \(v\). Both monkeys have got same masses. The time taken by the first and second monkeys in reaching the pulleys are respectively.

1 \(\left( {\frac{l}{v}} \right) \cdot \left( {\frac{l}{{2\,v}}} \right)\)
2 \(\sqrt {\frac{{2\,l}}{v}} \cdot \sqrt {\frac{l}{v}} \)
3 \({\left( {\frac{l}{{2v}}} \right)^{\frac{1}{2}}} \cdot {\left( {\frac{l}{v}} \right)^{\frac{1}{2}}}\)
4 \(\left( {\frac{l}{{3\,v}}} \right) \cdot \left( {\frac{l}{{3\,v}}} \right)\)