IMPULSE
Laws of Motion

270145 A ball of mass'm' is thrown at an angle is ' \(\theta\) ' with the horizontal with an initial velocity ' \(u\) '.The change in its momentum during its flight in a time interval of ' \(t\) ' is

1 \(\mathrm{mgt}\)
2 mgt \(\cos \theta\)
3 \(\mathrm{mgt} \sin \theta\)
4 \(1 / 2 \mathrm{mgt}\).
Laws of Motion

270144 A small sphere of mass \(m=2 \mathrm{~kg}\) moving with a velocity \(\bar{u}=4 \hat{i}-7 \hat{j} \mathrm{~m} / \mathrm{s}\) collides with a smooth wall and returns with a velocity \(\bar{v}=\hat{i}+3 \hat{j} \mathrm{~m} / \mathrm{s}\). The magnitude of the impulse received by the ball is

1 \(5 \mathrm{~kg} \mathrm{~ms}^{-1}\)
2 \(10 \sqrt{5} \mathrm{kgms}^{-1}\)
3 \(20 \mathrm{~kg} \mathrm{~ms}^{-1}\)
4 \(15 \mathrm{~kg} \mathrm{~ms}^{-1}\)
Laws of Motion

270146 A body of mass \(2 \mathrm{~kg}\) has an initial speed \(5 \mathrm{~ms}^{-1}\). A force acts on it for 4 seconds in the direction of motion. The force time graph is shown in figure. The final speed of the body is

1 \(8.5 \mathrm{~ms}^{-1}\)
2 \(11 \mathrm{~ms}^{-1}\)
3 \(14.31 \mathrm{~ms}^{-1}\)
4 \(4.31 \mathrm{~ms}^{-1}\)
Laws of Motion

270147 A force time graph for the motion of a body is as shown in figure. Change in linear momentum between 0 and \(6 s\) is

1 zero
2 \(8 \mathrm{Ns}\)
3 \(4 \mathrm{Ns}\)
4 \(2 \mathrm{Ns}\)
Laws of Motion

270148 An object of mass \(3 \mathrm{~kg}\) is at rest. Now a force \(F=6 t^{2} \hat{i}+2 t \hat{j} \mathbf{N}\) is applied on the object. Find the velocity of the object at \(t=3\) sec.

1 \(18 \vec{i}+3 \vec{j}\)
2 \(18 \vec{i}-3 \vec{j}\)
3 \(3 \vec{i}-18 \vec{j}\)
4 \(3 \vec{i}+18 \vec{j}\)
Laws of Motion

270145 A ball of mass'm' is thrown at an angle is ' \(\theta\) ' with the horizontal with an initial velocity ' \(u\) '.The change in its momentum during its flight in a time interval of ' \(t\) ' is

1 \(\mathrm{mgt}\)
2 mgt \(\cos \theta\)
3 \(\mathrm{mgt} \sin \theta\)
4 \(1 / 2 \mathrm{mgt}\).
Laws of Motion

270144 A small sphere of mass \(m=2 \mathrm{~kg}\) moving with a velocity \(\bar{u}=4 \hat{i}-7 \hat{j} \mathrm{~m} / \mathrm{s}\) collides with a smooth wall and returns with a velocity \(\bar{v}=\hat{i}+3 \hat{j} \mathrm{~m} / \mathrm{s}\). The magnitude of the impulse received by the ball is

1 \(5 \mathrm{~kg} \mathrm{~ms}^{-1}\)
2 \(10 \sqrt{5} \mathrm{kgms}^{-1}\)
3 \(20 \mathrm{~kg} \mathrm{~ms}^{-1}\)
4 \(15 \mathrm{~kg} \mathrm{~ms}^{-1}\)
Laws of Motion

270146 A body of mass \(2 \mathrm{~kg}\) has an initial speed \(5 \mathrm{~ms}^{-1}\). A force acts on it for 4 seconds in the direction of motion. The force time graph is shown in figure. The final speed of the body is

1 \(8.5 \mathrm{~ms}^{-1}\)
2 \(11 \mathrm{~ms}^{-1}\)
3 \(14.31 \mathrm{~ms}^{-1}\)
4 \(4.31 \mathrm{~ms}^{-1}\)
Laws of Motion

270147 A force time graph for the motion of a body is as shown in figure. Change in linear momentum between 0 and \(6 s\) is

1 zero
2 \(8 \mathrm{Ns}\)
3 \(4 \mathrm{Ns}\)
4 \(2 \mathrm{Ns}\)
Laws of Motion

270148 An object of mass \(3 \mathrm{~kg}\) is at rest. Now a force \(F=6 t^{2} \hat{i}+2 t \hat{j} \mathbf{N}\) is applied on the object. Find the velocity of the object at \(t=3\) sec.

1 \(18 \vec{i}+3 \vec{j}\)
2 \(18 \vec{i}-3 \vec{j}\)
3 \(3 \vec{i}-18 \vec{j}\)
4 \(3 \vec{i}+18 \vec{j}\)
Laws of Motion

270145 A ball of mass'm' is thrown at an angle is ' \(\theta\) ' with the horizontal with an initial velocity ' \(u\) '.The change in its momentum during its flight in a time interval of ' \(t\) ' is

1 \(\mathrm{mgt}\)
2 mgt \(\cos \theta\)
3 \(\mathrm{mgt} \sin \theta\)
4 \(1 / 2 \mathrm{mgt}\).
Laws of Motion

270144 A small sphere of mass \(m=2 \mathrm{~kg}\) moving with a velocity \(\bar{u}=4 \hat{i}-7 \hat{j} \mathrm{~m} / \mathrm{s}\) collides with a smooth wall and returns with a velocity \(\bar{v}=\hat{i}+3 \hat{j} \mathrm{~m} / \mathrm{s}\). The magnitude of the impulse received by the ball is

1 \(5 \mathrm{~kg} \mathrm{~ms}^{-1}\)
2 \(10 \sqrt{5} \mathrm{kgms}^{-1}\)
3 \(20 \mathrm{~kg} \mathrm{~ms}^{-1}\)
4 \(15 \mathrm{~kg} \mathrm{~ms}^{-1}\)
Laws of Motion

270146 A body of mass \(2 \mathrm{~kg}\) has an initial speed \(5 \mathrm{~ms}^{-1}\). A force acts on it for 4 seconds in the direction of motion. The force time graph is shown in figure. The final speed of the body is

1 \(8.5 \mathrm{~ms}^{-1}\)
2 \(11 \mathrm{~ms}^{-1}\)
3 \(14.31 \mathrm{~ms}^{-1}\)
4 \(4.31 \mathrm{~ms}^{-1}\)
Laws of Motion

270147 A force time graph for the motion of a body is as shown in figure. Change in linear momentum between 0 and \(6 s\) is

1 zero
2 \(8 \mathrm{Ns}\)
3 \(4 \mathrm{Ns}\)
4 \(2 \mathrm{Ns}\)
Laws of Motion

270148 An object of mass \(3 \mathrm{~kg}\) is at rest. Now a force \(F=6 t^{2} \hat{i}+2 t \hat{j} \mathbf{N}\) is applied on the object. Find the velocity of the object at \(t=3\) sec.

1 \(18 \vec{i}+3 \vec{j}\)
2 \(18 \vec{i}-3 \vec{j}\)
3 \(3 \vec{i}-18 \vec{j}\)
4 \(3 \vec{i}+18 \vec{j}\)
Laws of Motion

270145 A ball of mass'm' is thrown at an angle is ' \(\theta\) ' with the horizontal with an initial velocity ' \(u\) '.The change in its momentum during its flight in a time interval of ' \(t\) ' is

1 \(\mathrm{mgt}\)
2 mgt \(\cos \theta\)
3 \(\mathrm{mgt} \sin \theta\)
4 \(1 / 2 \mathrm{mgt}\).
Laws of Motion

270144 A small sphere of mass \(m=2 \mathrm{~kg}\) moving with a velocity \(\bar{u}=4 \hat{i}-7 \hat{j} \mathrm{~m} / \mathrm{s}\) collides with a smooth wall and returns with a velocity \(\bar{v}=\hat{i}+3 \hat{j} \mathrm{~m} / \mathrm{s}\). The magnitude of the impulse received by the ball is

1 \(5 \mathrm{~kg} \mathrm{~ms}^{-1}\)
2 \(10 \sqrt{5} \mathrm{kgms}^{-1}\)
3 \(20 \mathrm{~kg} \mathrm{~ms}^{-1}\)
4 \(15 \mathrm{~kg} \mathrm{~ms}^{-1}\)
Laws of Motion

270146 A body of mass \(2 \mathrm{~kg}\) has an initial speed \(5 \mathrm{~ms}^{-1}\). A force acts on it for 4 seconds in the direction of motion. The force time graph is shown in figure. The final speed of the body is

1 \(8.5 \mathrm{~ms}^{-1}\)
2 \(11 \mathrm{~ms}^{-1}\)
3 \(14.31 \mathrm{~ms}^{-1}\)
4 \(4.31 \mathrm{~ms}^{-1}\)
Laws of Motion

270147 A force time graph for the motion of a body is as shown in figure. Change in linear momentum between 0 and \(6 s\) is

1 zero
2 \(8 \mathrm{Ns}\)
3 \(4 \mathrm{Ns}\)
4 \(2 \mathrm{Ns}\)
Laws of Motion

270148 An object of mass \(3 \mathrm{~kg}\) is at rest. Now a force \(F=6 t^{2} \hat{i}+2 t \hat{j} \mathbf{N}\) is applied on the object. Find the velocity of the object at \(t=3\) sec.

1 \(18 \vec{i}+3 \vec{j}\)
2 \(18 \vec{i}-3 \vec{j}\)
3 \(3 \vec{i}-18 \vec{j}\)
4 \(3 \vec{i}+18 \vec{j}\)
Laws of Motion

270145 A ball of mass'm' is thrown at an angle is ' \(\theta\) ' with the horizontal with an initial velocity ' \(u\) '.The change in its momentum during its flight in a time interval of ' \(t\) ' is

1 \(\mathrm{mgt}\)
2 mgt \(\cos \theta\)
3 \(\mathrm{mgt} \sin \theta\)
4 \(1 / 2 \mathrm{mgt}\).
Laws of Motion

270144 A small sphere of mass \(m=2 \mathrm{~kg}\) moving with a velocity \(\bar{u}=4 \hat{i}-7 \hat{j} \mathrm{~m} / \mathrm{s}\) collides with a smooth wall and returns with a velocity \(\bar{v}=\hat{i}+3 \hat{j} \mathrm{~m} / \mathrm{s}\). The magnitude of the impulse received by the ball is

1 \(5 \mathrm{~kg} \mathrm{~ms}^{-1}\)
2 \(10 \sqrt{5} \mathrm{kgms}^{-1}\)
3 \(20 \mathrm{~kg} \mathrm{~ms}^{-1}\)
4 \(15 \mathrm{~kg} \mathrm{~ms}^{-1}\)
Laws of Motion

270146 A body of mass \(2 \mathrm{~kg}\) has an initial speed \(5 \mathrm{~ms}^{-1}\). A force acts on it for 4 seconds in the direction of motion. The force time graph is shown in figure. The final speed of the body is

1 \(8.5 \mathrm{~ms}^{-1}\)
2 \(11 \mathrm{~ms}^{-1}\)
3 \(14.31 \mathrm{~ms}^{-1}\)
4 \(4.31 \mathrm{~ms}^{-1}\)
Laws of Motion

270147 A force time graph for the motion of a body is as shown in figure. Change in linear momentum between 0 and \(6 s\) is

1 zero
2 \(8 \mathrm{Ns}\)
3 \(4 \mathrm{Ns}\)
4 \(2 \mathrm{Ns}\)
Laws of Motion

270148 An object of mass \(3 \mathrm{~kg}\) is at rest. Now a force \(F=6 t^{2} \hat{i}+2 t \hat{j} \mathbf{N}\) is applied on the object. Find the velocity of the object at \(t=3\) sec.

1 \(18 \vec{i}+3 \vec{j}\)
2 \(18 \vec{i}-3 \vec{j}\)
3 \(3 \vec{i}-18 \vec{j}\)
4 \(3 \vec{i}+18 \vec{j}\)