Newton's Law of Motion and It's Application
LAWS OF MOTION (ADDITIONAL)

371731 Two paper screens \(A\) and \(B\) are separated by \(150 \mathrm{~m}\). A bullet pierces \(A\) and then \(B\). The hole in \(B\) is \(15 \mathrm{~cm}\) below the hole in \(A\). If the bullet is travelling horizontally at the time of hitting \(A\), then the velocity of the bullet at \(A\) is: \(\left(g=10 \mathrm{~ms}^{-}\right.\) )

1 \(100 \sqrt{3} \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(200 \sqrt{3} \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(300 \sqrt{3} \mathrm{~m} . \mathrm{s}^{-1}\)
4 \(500 \sqrt{3} \mathrm{m.s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371732 A bullet of mass \(30 \mathrm{~g}\) moving with \(700 \mathrm{~ms}^{-1}\) collides with a block of mass \(4 \mathrm{~kg}\) hanging by a string of length \(0.4 \mathrm{~m}\). After collision, the block rises to a height of \(0.2 \mathrm{~m}\). Then find the velocity of the bullet when it comes out of the block

1 \(200 \mathrm{~m} . \mathrm{s}^{-1}\)
2 \(433 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(400 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(332 \mathrm{~m} . \mathrm{s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371733 A gun fires bullets of mass \(10 \mathrm{~g}\) each with a velocity of \(750 \mathrm{~m} / \mathrm{s}\). This person holding the gun feels an average force of \(150 \mathrm{~N}\) against the gun. What is the rate of maximum number of bullets fired?

1 \(1250 / \mathrm{min}\)
2 \(800 / \mathrm{min}\)
3 \(250 / \mathrm{min}\)
4 \(1200 / \mathrm{min}\)
LAWS OF MOTION (ADDITIONAL)

371734 The velocity of an object of mass \(2 \mathrm{~kg}\) is given by \(v=\left(8 t \hat{i}+3 t^{2} \hat{j}\right) m / s\), where \(t\) is time in seconds. What will be the direction of net force on the object relative to the positive direction of \(\mathrm{X}\)-axis, at the instant when its magnitude is 20N?

1 \(\tan ^{-1}\left(\frac{1}{2}\right)\)
2 \(\tan ^{-1}\left(\frac{2}{3}\right)\)
3 \(\tan ^{-1}\left(\frac{4}{5}\right)\)
4 \(\tan ^{-1}\left(\frac{3}{4}\right)\)
LAWS OF MOTION (ADDITIONAL)

371731 Two paper screens \(A\) and \(B\) are separated by \(150 \mathrm{~m}\). A bullet pierces \(A\) and then \(B\). The hole in \(B\) is \(15 \mathrm{~cm}\) below the hole in \(A\). If the bullet is travelling horizontally at the time of hitting \(A\), then the velocity of the bullet at \(A\) is: \(\left(g=10 \mathrm{~ms}^{-}\right.\) )

1 \(100 \sqrt{3} \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(200 \sqrt{3} \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(300 \sqrt{3} \mathrm{~m} . \mathrm{s}^{-1}\)
4 \(500 \sqrt{3} \mathrm{m.s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371732 A bullet of mass \(30 \mathrm{~g}\) moving with \(700 \mathrm{~ms}^{-1}\) collides with a block of mass \(4 \mathrm{~kg}\) hanging by a string of length \(0.4 \mathrm{~m}\). After collision, the block rises to a height of \(0.2 \mathrm{~m}\). Then find the velocity of the bullet when it comes out of the block

1 \(200 \mathrm{~m} . \mathrm{s}^{-1}\)
2 \(433 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(400 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(332 \mathrm{~m} . \mathrm{s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371733 A gun fires bullets of mass \(10 \mathrm{~g}\) each with a velocity of \(750 \mathrm{~m} / \mathrm{s}\). This person holding the gun feels an average force of \(150 \mathrm{~N}\) against the gun. What is the rate of maximum number of bullets fired?

1 \(1250 / \mathrm{min}\)
2 \(800 / \mathrm{min}\)
3 \(250 / \mathrm{min}\)
4 \(1200 / \mathrm{min}\)
LAWS OF MOTION (ADDITIONAL)

371734 The velocity of an object of mass \(2 \mathrm{~kg}\) is given by \(v=\left(8 t \hat{i}+3 t^{2} \hat{j}\right) m / s\), where \(t\) is time in seconds. What will be the direction of net force on the object relative to the positive direction of \(\mathrm{X}\)-axis, at the instant when its magnitude is 20N?

1 \(\tan ^{-1}\left(\frac{1}{2}\right)\)
2 \(\tan ^{-1}\left(\frac{2}{3}\right)\)
3 \(\tan ^{-1}\left(\frac{4}{5}\right)\)
4 \(\tan ^{-1}\left(\frac{3}{4}\right)\)
LAWS OF MOTION (ADDITIONAL)

371731 Two paper screens \(A\) and \(B\) are separated by \(150 \mathrm{~m}\). A bullet pierces \(A\) and then \(B\). The hole in \(B\) is \(15 \mathrm{~cm}\) below the hole in \(A\). If the bullet is travelling horizontally at the time of hitting \(A\), then the velocity of the bullet at \(A\) is: \(\left(g=10 \mathrm{~ms}^{-}\right.\) )

1 \(100 \sqrt{3} \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(200 \sqrt{3} \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(300 \sqrt{3} \mathrm{~m} . \mathrm{s}^{-1}\)
4 \(500 \sqrt{3} \mathrm{m.s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371732 A bullet of mass \(30 \mathrm{~g}\) moving with \(700 \mathrm{~ms}^{-1}\) collides with a block of mass \(4 \mathrm{~kg}\) hanging by a string of length \(0.4 \mathrm{~m}\). After collision, the block rises to a height of \(0.2 \mathrm{~m}\). Then find the velocity of the bullet when it comes out of the block

1 \(200 \mathrm{~m} . \mathrm{s}^{-1}\)
2 \(433 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(400 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(332 \mathrm{~m} . \mathrm{s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371733 A gun fires bullets of mass \(10 \mathrm{~g}\) each with a velocity of \(750 \mathrm{~m} / \mathrm{s}\). This person holding the gun feels an average force of \(150 \mathrm{~N}\) against the gun. What is the rate of maximum number of bullets fired?

1 \(1250 / \mathrm{min}\)
2 \(800 / \mathrm{min}\)
3 \(250 / \mathrm{min}\)
4 \(1200 / \mathrm{min}\)
LAWS OF MOTION (ADDITIONAL)

371734 The velocity of an object of mass \(2 \mathrm{~kg}\) is given by \(v=\left(8 t \hat{i}+3 t^{2} \hat{j}\right) m / s\), where \(t\) is time in seconds. What will be the direction of net force on the object relative to the positive direction of \(\mathrm{X}\)-axis, at the instant when its magnitude is 20N?

1 \(\tan ^{-1}\left(\frac{1}{2}\right)\)
2 \(\tan ^{-1}\left(\frac{2}{3}\right)\)
3 \(\tan ^{-1}\left(\frac{4}{5}\right)\)
4 \(\tan ^{-1}\left(\frac{3}{4}\right)\)
LAWS OF MOTION (ADDITIONAL)

371731 Two paper screens \(A\) and \(B\) are separated by \(150 \mathrm{~m}\). A bullet pierces \(A\) and then \(B\). The hole in \(B\) is \(15 \mathrm{~cm}\) below the hole in \(A\). If the bullet is travelling horizontally at the time of hitting \(A\), then the velocity of the bullet at \(A\) is: \(\left(g=10 \mathrm{~ms}^{-}\right.\) )

1 \(100 \sqrt{3} \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(200 \sqrt{3} \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(300 \sqrt{3} \mathrm{~m} . \mathrm{s}^{-1}\)
4 \(500 \sqrt{3} \mathrm{m.s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371732 A bullet of mass \(30 \mathrm{~g}\) moving with \(700 \mathrm{~ms}^{-1}\) collides with a block of mass \(4 \mathrm{~kg}\) hanging by a string of length \(0.4 \mathrm{~m}\). After collision, the block rises to a height of \(0.2 \mathrm{~m}\). Then find the velocity of the bullet when it comes out of the block

1 \(200 \mathrm{~m} . \mathrm{s}^{-1}\)
2 \(433 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(400 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(332 \mathrm{~m} . \mathrm{s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371733 A gun fires bullets of mass \(10 \mathrm{~g}\) each with a velocity of \(750 \mathrm{~m} / \mathrm{s}\). This person holding the gun feels an average force of \(150 \mathrm{~N}\) against the gun. What is the rate of maximum number of bullets fired?

1 \(1250 / \mathrm{min}\)
2 \(800 / \mathrm{min}\)
3 \(250 / \mathrm{min}\)
4 \(1200 / \mathrm{min}\)
LAWS OF MOTION (ADDITIONAL)

371734 The velocity of an object of mass \(2 \mathrm{~kg}\) is given by \(v=\left(8 t \hat{i}+3 t^{2} \hat{j}\right) m / s\), where \(t\) is time in seconds. What will be the direction of net force on the object relative to the positive direction of \(\mathrm{X}\)-axis, at the instant when its magnitude is 20N?

1 \(\tan ^{-1}\left(\frac{1}{2}\right)\)
2 \(\tan ^{-1}\left(\frac{2}{3}\right)\)
3 \(\tan ^{-1}\left(\frac{4}{5}\right)\)
4 \(\tan ^{-1}\left(\frac{3}{4}\right)\)