Applications of Newton’s Laws
PHXI05:LAWS OF MOTION

363125 Three blocks are connected on a horizontal frictionless table and pulled to the right with a force of \({T_{3}=90 {~N}}\), as shown in the figure. If \({m_{1}=20 {~kg}, m_{2}=30 {~kg}}\) and \({m_{3}=40 {~kg}}\), then the tension \({T_{2}}\) is
supporting img

1 \(5\,N\)
2 \(30\,N\)
3 \(50\,N\)
4 \(60\,N\)
PHXI05:LAWS OF MOTION

363126 Four blocks of same mass connected by strings are pulled by a force \(F\) on a smooth horizontal surface as shown in figure. The tension
\({T_1},{T_2}\,\& \,{T_3}\) will be
supporting img

1 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{3}{2} F, T_{3}=\dfrac{1}{4} F\)
2 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
3 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{4} F\)
4 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
PHXI05:LAWS OF MOTION

363127 Three blocks of mass \(m_{1}=2.0, m_{2}=4.0\) and \(m_{3}=6.0 \mathrm{~kg}\) are connected by strings on a frictionless inclined plane of \(60^{\circ}\), as shown in the figure. A force \(F = 120\;N\) is applied upward along the incline to the uppermost block, causing an upward movement of the blocks. The connecting cords are light. The value of tension \(T_{1}\) and \(T_{2}\) in the cords are
supporting img

1 \({T_1} = 20\;N,{T_2} = 60\;N\)
2 \({T_1} = 60\;N,{T_2} = 60\;N\)
3 \({T_1} = 30\;N,{T_2} = 50\;N\)
4 \({T_1} = 20\;N,{T_2} = 100\;N\)
PHXI05:LAWS OF MOTION

363128 A simple pendulum is vibrating with an angular amplitude of \(\frac{\pi }{2}\). The value of \(\alpha \) for which the resultant acceleration is along the horizontal is
supporting img

1 \(\frac{\pi }{2}\)
2 \(180^\circ \)
3 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 2 }}} \right)\)
PHXI05:LAWS OF MOTION

363129 Two particles of mass \(m\) each are tied at the ends of a light string of length 2 \(a\). The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ‘\(a\)’ from the centre \(P\) (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force \(F\). As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2 \(x\), is
supporting img

1 \(\frac{F}{{2\,m}}\;\frac{a}{{\sqrt {{a^2} - {x^2}} }}\)
2 \(\frac{F}{{2\,m}}\;\frac{x}{{\sqrt {{a^2} - {x^2}} }}\)
3 \(\frac{F}{{2\,m}}\;\frac{x}{a}\)
4 \(\frac{F}{{2\,m}}\;\frac{{\sqrt {{a^2} - {x^2}} }}{x}\)
PHXI05:LAWS OF MOTION

363125 Three blocks are connected on a horizontal frictionless table and pulled to the right with a force of \({T_{3}=90 {~N}}\), as shown in the figure. If \({m_{1}=20 {~kg}, m_{2}=30 {~kg}}\) and \({m_{3}=40 {~kg}}\), then the tension \({T_{2}}\) is
supporting img

1 \(5\,N\)
2 \(30\,N\)
3 \(50\,N\)
4 \(60\,N\)
PHXI05:LAWS OF MOTION

363126 Four blocks of same mass connected by strings are pulled by a force \(F\) on a smooth horizontal surface as shown in figure. The tension
\({T_1},{T_2}\,\& \,{T_3}\) will be
supporting img

1 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{3}{2} F, T_{3}=\dfrac{1}{4} F\)
2 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
3 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{4} F\)
4 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
PHXI05:LAWS OF MOTION

363127 Three blocks of mass \(m_{1}=2.0, m_{2}=4.0\) and \(m_{3}=6.0 \mathrm{~kg}\) are connected by strings on a frictionless inclined plane of \(60^{\circ}\), as shown in the figure. A force \(F = 120\;N\) is applied upward along the incline to the uppermost block, causing an upward movement of the blocks. The connecting cords are light. The value of tension \(T_{1}\) and \(T_{2}\) in the cords are
supporting img

1 \({T_1} = 20\;N,{T_2} = 60\;N\)
2 \({T_1} = 60\;N,{T_2} = 60\;N\)
3 \({T_1} = 30\;N,{T_2} = 50\;N\)
4 \({T_1} = 20\;N,{T_2} = 100\;N\)
PHXI05:LAWS OF MOTION

363128 A simple pendulum is vibrating with an angular amplitude of \(\frac{\pi }{2}\). The value of \(\alpha \) for which the resultant acceleration is along the horizontal is
supporting img

1 \(\frac{\pi }{2}\)
2 \(180^\circ \)
3 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 2 }}} \right)\)
PHXI05:LAWS OF MOTION

363129 Two particles of mass \(m\) each are tied at the ends of a light string of length 2 \(a\). The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ‘\(a\)’ from the centre \(P\) (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force \(F\). As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2 \(x\), is
supporting img

1 \(\frac{F}{{2\,m}}\;\frac{a}{{\sqrt {{a^2} - {x^2}} }}\)
2 \(\frac{F}{{2\,m}}\;\frac{x}{{\sqrt {{a^2} - {x^2}} }}\)
3 \(\frac{F}{{2\,m}}\;\frac{x}{a}\)
4 \(\frac{F}{{2\,m}}\;\frac{{\sqrt {{a^2} - {x^2}} }}{x}\)
PHXI05:LAWS OF MOTION

363125 Three blocks are connected on a horizontal frictionless table and pulled to the right with a force of \({T_{3}=90 {~N}}\), as shown in the figure. If \({m_{1}=20 {~kg}, m_{2}=30 {~kg}}\) and \({m_{3}=40 {~kg}}\), then the tension \({T_{2}}\) is
supporting img

1 \(5\,N\)
2 \(30\,N\)
3 \(50\,N\)
4 \(60\,N\)
PHXI05:LAWS OF MOTION

363126 Four blocks of same mass connected by strings are pulled by a force \(F\) on a smooth horizontal surface as shown in figure. The tension
\({T_1},{T_2}\,\& \,{T_3}\) will be
supporting img

1 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{3}{2} F, T_{3}=\dfrac{1}{4} F\)
2 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
3 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{4} F\)
4 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
PHXI05:LAWS OF MOTION

363127 Three blocks of mass \(m_{1}=2.0, m_{2}=4.0\) and \(m_{3}=6.0 \mathrm{~kg}\) are connected by strings on a frictionless inclined plane of \(60^{\circ}\), as shown in the figure. A force \(F = 120\;N\) is applied upward along the incline to the uppermost block, causing an upward movement of the blocks. The connecting cords are light. The value of tension \(T_{1}\) and \(T_{2}\) in the cords are
supporting img

1 \({T_1} = 20\;N,{T_2} = 60\;N\)
2 \({T_1} = 60\;N,{T_2} = 60\;N\)
3 \({T_1} = 30\;N,{T_2} = 50\;N\)
4 \({T_1} = 20\;N,{T_2} = 100\;N\)
PHXI05:LAWS OF MOTION

363128 A simple pendulum is vibrating with an angular amplitude of \(\frac{\pi }{2}\). The value of \(\alpha \) for which the resultant acceleration is along the horizontal is
supporting img

1 \(\frac{\pi }{2}\)
2 \(180^\circ \)
3 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 2 }}} \right)\)
PHXI05:LAWS OF MOTION

363129 Two particles of mass \(m\) each are tied at the ends of a light string of length 2 \(a\). The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ‘\(a\)’ from the centre \(P\) (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force \(F\). As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2 \(x\), is
supporting img

1 \(\frac{F}{{2\,m}}\;\frac{a}{{\sqrt {{a^2} - {x^2}} }}\)
2 \(\frac{F}{{2\,m}}\;\frac{x}{{\sqrt {{a^2} - {x^2}} }}\)
3 \(\frac{F}{{2\,m}}\;\frac{x}{a}\)
4 \(\frac{F}{{2\,m}}\;\frac{{\sqrt {{a^2} - {x^2}} }}{x}\)
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PHXI05:LAWS OF MOTION

363125 Three blocks are connected on a horizontal frictionless table and pulled to the right with a force of \({T_{3}=90 {~N}}\), as shown in the figure. If \({m_{1}=20 {~kg}, m_{2}=30 {~kg}}\) and \({m_{3}=40 {~kg}}\), then the tension \({T_{2}}\) is
supporting img

1 \(5\,N\)
2 \(30\,N\)
3 \(50\,N\)
4 \(60\,N\)
PHXI05:LAWS OF MOTION

363126 Four blocks of same mass connected by strings are pulled by a force \(F\) on a smooth horizontal surface as shown in figure. The tension
\({T_1},{T_2}\,\& \,{T_3}\) will be
supporting img

1 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{3}{2} F, T_{3}=\dfrac{1}{4} F\)
2 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
3 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{4} F\)
4 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
PHXI05:LAWS OF MOTION

363127 Three blocks of mass \(m_{1}=2.0, m_{2}=4.0\) and \(m_{3}=6.0 \mathrm{~kg}\) are connected by strings on a frictionless inclined plane of \(60^{\circ}\), as shown in the figure. A force \(F = 120\;N\) is applied upward along the incline to the uppermost block, causing an upward movement of the blocks. The connecting cords are light. The value of tension \(T_{1}\) and \(T_{2}\) in the cords are
supporting img

1 \({T_1} = 20\;N,{T_2} = 60\;N\)
2 \({T_1} = 60\;N,{T_2} = 60\;N\)
3 \({T_1} = 30\;N,{T_2} = 50\;N\)
4 \({T_1} = 20\;N,{T_2} = 100\;N\)
PHXI05:LAWS OF MOTION

363128 A simple pendulum is vibrating with an angular amplitude of \(\frac{\pi }{2}\). The value of \(\alpha \) for which the resultant acceleration is along the horizontal is
supporting img

1 \(\frac{\pi }{2}\)
2 \(180^\circ \)
3 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 2 }}} \right)\)
PHXI05:LAWS OF MOTION

363129 Two particles of mass \(m\) each are tied at the ends of a light string of length 2 \(a\). The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ‘\(a\)’ from the centre \(P\) (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force \(F\). As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2 \(x\), is
supporting img

1 \(\frac{F}{{2\,m}}\;\frac{a}{{\sqrt {{a^2} - {x^2}} }}\)
2 \(\frac{F}{{2\,m}}\;\frac{x}{{\sqrt {{a^2} - {x^2}} }}\)
3 \(\frac{F}{{2\,m}}\;\frac{x}{a}\)
4 \(\frac{F}{{2\,m}}\;\frac{{\sqrt {{a^2} - {x^2}} }}{x}\)
PHXI05:LAWS OF MOTION

363125 Three blocks are connected on a horizontal frictionless table and pulled to the right with a force of \({T_{3}=90 {~N}}\), as shown in the figure. If \({m_{1}=20 {~kg}, m_{2}=30 {~kg}}\) and \({m_{3}=40 {~kg}}\), then the tension \({T_{2}}\) is
supporting img

1 \(5\,N\)
2 \(30\,N\)
3 \(50\,N\)
4 \(60\,N\)
PHXI05:LAWS OF MOTION

363126 Four blocks of same mass connected by strings are pulled by a force \(F\) on a smooth horizontal surface as shown in figure. The tension
\({T_1},{T_2}\,\& \,{T_3}\) will be
supporting img

1 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{3}{2} F, T_{3}=\dfrac{1}{4} F\)
2 \(T_{1}=\dfrac{1}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
3 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{4} F\)
4 \(T_{1}=\dfrac{3}{4} F, T_{2}=\dfrac{1}{2} F, T_{3}=\dfrac{1}{2} F\)
PHXI05:LAWS OF MOTION

363127 Three blocks of mass \(m_{1}=2.0, m_{2}=4.0\) and \(m_{3}=6.0 \mathrm{~kg}\) are connected by strings on a frictionless inclined plane of \(60^{\circ}\), as shown in the figure. A force \(F = 120\;N\) is applied upward along the incline to the uppermost block, causing an upward movement of the blocks. The connecting cords are light. The value of tension \(T_{1}\) and \(T_{2}\) in the cords are
supporting img

1 \({T_1} = 20\;N,{T_2} = 60\;N\)
2 \({T_1} = 60\;N,{T_2} = 60\;N\)
3 \({T_1} = 30\;N,{T_2} = 50\;N\)
4 \({T_1} = 20\;N,{T_2} = 100\;N\)
PHXI05:LAWS OF MOTION

363128 A simple pendulum is vibrating with an angular amplitude of \(\frac{\pi }{2}\). The value of \(\alpha \) for which the resultant acceleration is along the horizontal is
supporting img

1 \(\frac{\pi }{2}\)
2 \(180^\circ \)
3 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 2 }}} \right)\)
PHXI05:LAWS OF MOTION

363129 Two particles of mass \(m\) each are tied at the ends of a light string of length 2 \(a\). The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ‘\(a\)’ from the centre \(P\) (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force \(F\). As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2 \(x\), is
supporting img

1 \(\frac{F}{{2\,m}}\;\frac{a}{{\sqrt {{a^2} - {x^2}} }}\)
2 \(\frac{F}{{2\,m}}\;\frac{x}{{\sqrt {{a^2} - {x^2}} }}\)
3 \(\frac{F}{{2\,m}}\;\frac{x}{a}\)
4 \(\frac{F}{{2\,m}}\;\frac{{\sqrt {{a^2} - {x^2}} }}{x}\)