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

371753 A vehicle moving at \(36 \mathrm{~km} / \mathrm{hr}\) is to be stopped by applying brakes in the next \(5 \mathrm{~m}\). If the vehicle weight \(2000 \mathrm{~kg}\), determine the average force that must be applied on it

1 \(10^{4} \mathrm{~N}\)
2 \(2 \times 10^{4} \mathrm{~N}\)
3 \(3 \times 10^{4} \mathrm{~N}\)
4 \(5 \times 10^{3} \mathrm{~N}\)
5 \(10^{3} \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371754 A ball of mass \(0.45 \mathrm{~kg}\) which is initially at rest is hit by a bat. The bat remains in contact with the ball for \(3 \times 10^{-3} \mathrm{~s}\). During this time period the force on the ball by the bat is given as \(\mathbf{F}(\mathbf{t})=\left[\left(\alpha \times 10^{6}\right) \mathrm{t}-\left(\beta \times 10^{9}\right) \mathbf{t}^{2}\right] \mathrm{N}\) where \(\alpha\) and \(\beta\) are constants. The ball's speed, immediately as it loses contact with the bat is \(20 \mathrm{~m} / \mathrm{s}\). The correct relation between \(\alpha\) and \(\beta\) as

1 \(\alpha-2 \beta=2\)
2 \(\alpha+2 \beta=2\)
3 \(\alpha-\beta=2\)
4 \(2 \alpha-\beta=2\)
LAWS OF MOTION (ADDITIONAL)

371755 A block of mass \(20 \mathrm{~kg}\) is suspended through two spring balance with negligible mass as shown in figure. What will be the readings in the upper and lower balance respectively?

1 \(0 \mathrm{~kg}, 20 \mathrm{~kg}\)
2 \(10 \mathrm{~kg}, 20 \mathrm{~kg}\)
3 \(20 \mathrm{~kg}, 10 \mathrm{~kg}\)
4 \(10 \mathrm{~kg}, 10 \mathrm{~kg}\)
5 \(20 \mathrm{~kg}, 20 \mathrm{~kg}\)
LAWS OF MOTION (ADDITIONAL)

371756 An elevator is descending (see the figure below) with a uniform acceleration. If the force exerted by the block \(A\) on, block \(B\) is \(4 \mathrm{~N}\), what is the acceleration of the lift, if the mass of the block \(A\) is \(1 / 2\) kg

1 \(0.5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(4 \mathrm{~m} / \mathrm{s}^{2}\)
LAWS OF MOTION (ADDITIONAL)

371753 A vehicle moving at \(36 \mathrm{~km} / \mathrm{hr}\) is to be stopped by applying brakes in the next \(5 \mathrm{~m}\). If the vehicle weight \(2000 \mathrm{~kg}\), determine the average force that must be applied on it

1 \(10^{4} \mathrm{~N}\)
2 \(2 \times 10^{4} \mathrm{~N}\)
3 \(3 \times 10^{4} \mathrm{~N}\)
4 \(5 \times 10^{3} \mathrm{~N}\)
5 \(10^{3} \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371754 A ball of mass \(0.45 \mathrm{~kg}\) which is initially at rest is hit by a bat. The bat remains in contact with the ball for \(3 \times 10^{-3} \mathrm{~s}\). During this time period the force on the ball by the bat is given as \(\mathbf{F}(\mathbf{t})=\left[\left(\alpha \times 10^{6}\right) \mathrm{t}-\left(\beta \times 10^{9}\right) \mathbf{t}^{2}\right] \mathrm{N}\) where \(\alpha\) and \(\beta\) are constants. The ball's speed, immediately as it loses contact with the bat is \(20 \mathrm{~m} / \mathrm{s}\). The correct relation between \(\alpha\) and \(\beta\) as

1 \(\alpha-2 \beta=2\)
2 \(\alpha+2 \beta=2\)
3 \(\alpha-\beta=2\)
4 \(2 \alpha-\beta=2\)
LAWS OF MOTION (ADDITIONAL)

371755 A block of mass \(20 \mathrm{~kg}\) is suspended through two spring balance with negligible mass as shown in figure. What will be the readings in the upper and lower balance respectively?

1 \(0 \mathrm{~kg}, 20 \mathrm{~kg}\)
2 \(10 \mathrm{~kg}, 20 \mathrm{~kg}\)
3 \(20 \mathrm{~kg}, 10 \mathrm{~kg}\)
4 \(10 \mathrm{~kg}, 10 \mathrm{~kg}\)
5 \(20 \mathrm{~kg}, 20 \mathrm{~kg}\)
LAWS OF MOTION (ADDITIONAL)

371756 An elevator is descending (see the figure below) with a uniform acceleration. If the force exerted by the block \(A\) on, block \(B\) is \(4 \mathrm{~N}\), what is the acceleration of the lift, if the mass of the block \(A\) is \(1 / 2\) kg

1 \(0.5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(4 \mathrm{~m} / \mathrm{s}^{2}\)
LAWS OF MOTION (ADDITIONAL)

371753 A vehicle moving at \(36 \mathrm{~km} / \mathrm{hr}\) is to be stopped by applying brakes in the next \(5 \mathrm{~m}\). If the vehicle weight \(2000 \mathrm{~kg}\), determine the average force that must be applied on it

1 \(10^{4} \mathrm{~N}\)
2 \(2 \times 10^{4} \mathrm{~N}\)
3 \(3 \times 10^{4} \mathrm{~N}\)
4 \(5 \times 10^{3} \mathrm{~N}\)
5 \(10^{3} \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371754 A ball of mass \(0.45 \mathrm{~kg}\) which is initially at rest is hit by a bat. The bat remains in contact with the ball for \(3 \times 10^{-3} \mathrm{~s}\). During this time period the force on the ball by the bat is given as \(\mathbf{F}(\mathbf{t})=\left[\left(\alpha \times 10^{6}\right) \mathrm{t}-\left(\beta \times 10^{9}\right) \mathbf{t}^{2}\right] \mathrm{N}\) where \(\alpha\) and \(\beta\) are constants. The ball's speed, immediately as it loses contact with the bat is \(20 \mathrm{~m} / \mathrm{s}\). The correct relation between \(\alpha\) and \(\beta\) as

1 \(\alpha-2 \beta=2\)
2 \(\alpha+2 \beta=2\)
3 \(\alpha-\beta=2\)
4 \(2 \alpha-\beta=2\)
LAWS OF MOTION (ADDITIONAL)

371755 A block of mass \(20 \mathrm{~kg}\) is suspended through two spring balance with negligible mass as shown in figure. What will be the readings in the upper and lower balance respectively?

1 \(0 \mathrm{~kg}, 20 \mathrm{~kg}\)
2 \(10 \mathrm{~kg}, 20 \mathrm{~kg}\)
3 \(20 \mathrm{~kg}, 10 \mathrm{~kg}\)
4 \(10 \mathrm{~kg}, 10 \mathrm{~kg}\)
5 \(20 \mathrm{~kg}, 20 \mathrm{~kg}\)
LAWS OF MOTION (ADDITIONAL)

371756 An elevator is descending (see the figure below) with a uniform acceleration. If the force exerted by the block \(A\) on, block \(B\) is \(4 \mathrm{~N}\), what is the acceleration of the lift, if the mass of the block \(A\) is \(1 / 2\) kg

1 \(0.5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(4 \mathrm{~m} / \mathrm{s}^{2}\)
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LAWS OF MOTION (ADDITIONAL)

371753 A vehicle moving at \(36 \mathrm{~km} / \mathrm{hr}\) is to be stopped by applying brakes in the next \(5 \mathrm{~m}\). If the vehicle weight \(2000 \mathrm{~kg}\), determine the average force that must be applied on it

1 \(10^{4} \mathrm{~N}\)
2 \(2 \times 10^{4} \mathrm{~N}\)
3 \(3 \times 10^{4} \mathrm{~N}\)
4 \(5 \times 10^{3} \mathrm{~N}\)
5 \(10^{3} \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371754 A ball of mass \(0.45 \mathrm{~kg}\) which is initially at rest is hit by a bat. The bat remains in contact with the ball for \(3 \times 10^{-3} \mathrm{~s}\). During this time period the force on the ball by the bat is given as \(\mathbf{F}(\mathbf{t})=\left[\left(\alpha \times 10^{6}\right) \mathrm{t}-\left(\beta \times 10^{9}\right) \mathbf{t}^{2}\right] \mathrm{N}\) where \(\alpha\) and \(\beta\) are constants. The ball's speed, immediately as it loses contact with the bat is \(20 \mathrm{~m} / \mathrm{s}\). The correct relation between \(\alpha\) and \(\beta\) as

1 \(\alpha-2 \beta=2\)
2 \(\alpha+2 \beta=2\)
3 \(\alpha-\beta=2\)
4 \(2 \alpha-\beta=2\)
LAWS OF MOTION (ADDITIONAL)

371755 A block of mass \(20 \mathrm{~kg}\) is suspended through two spring balance with negligible mass as shown in figure. What will be the readings in the upper and lower balance respectively?

1 \(0 \mathrm{~kg}, 20 \mathrm{~kg}\)
2 \(10 \mathrm{~kg}, 20 \mathrm{~kg}\)
3 \(20 \mathrm{~kg}, 10 \mathrm{~kg}\)
4 \(10 \mathrm{~kg}, 10 \mathrm{~kg}\)
5 \(20 \mathrm{~kg}, 20 \mathrm{~kg}\)
LAWS OF MOTION (ADDITIONAL)

371756 An elevator is descending (see the figure below) with a uniform acceleration. If the force exerted by the block \(A\) on, block \(B\) is \(4 \mathrm{~N}\), what is the acceleration of the lift, if the mass of the block \(A\) is \(1 / 2\) kg

1 \(0.5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(4 \mathrm{~m} / \mathrm{s}^{2}\)