Q. No.A hockey player is moving northward and suddenly turns westward at the same speed to avoid an opponent. The force that acts on the player is:
| 1. | frictional force along westward |
| 2. | muscle force along southward |
| 3. | frictional force along south-West |
| 4. | muscle force a south-West |
| 1. | the acceleration increases and the velocity remains constant. |
| 2. | the acceleration remains constant and the velocity increases. |
| 3. | the acceleration decreases and the velocity increases. |
| 4. | the acceleration remains constant and the velocity remains constant. |
1. \(4~\text N\)
2. \(6~\text N\)
3. \(10~\text N\)
4. zero
A car of mass \(m\) starts from rest and acquires a velocity along the east, \(v=v\mathrm{\hat{i}}(v>0)\) in two seconds. Assuming the car moves with uniform acceleration, the force exerted on the car is:
| 1. | \(mv/2 \) eastward and is exerted by the car engine. |
| 2. | \(mv/2\) eastward and is due to the friction on the tires exerted by the road. |
| 3. | more than \(mv/2\) eastward exerted due to the engine and overcomes the friction of the road. |
| 4. | \(mv/2\) exerted by the engine. |
1. \(\sqrt{2m}\)
2. \(\sqrt{4m}\)
3. \(\sqrt{3m}\)
4. \(2m\)
A body of mass \(10\) kg is acted upon by two perpendicular forces, \(6\) N and \(8\) N. The resultant acceleration of the body is:
| (a) | \(1~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{4}{3}\right ) \) w.r.t. \(6\) N force |
| (b) | \(0.2~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{3}{4}\right ) \) w.r.t. \(8\) N force |
| (c) | \(1~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{3}{4}\right ) \) w.r.t. \(8\) N force |
| (d) | \(0.2~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{3}{4}\right ) \) w.r.t. \(6\) N force |
Choose the correct option:
1. (a), (c)
2. (b), (c)
3. (c), (d)
4. (a), (b), (c)
A body of mass \(2~\text{kg}\) travels according to the law \(x \left( t \right) = pt + qt^2+ rt^3\) where,\(\) \(p = 3 ~\text{ms }^{−1 },\) \(q = 4 ~\text{ms }^{−2}\) and \(r = 5 ~\text{ms }^{−3}\). The force acting on the body at \(t = 2 ~\text{s }\) is
1. \(136~\text{N}\)2. \(134~\text{N}\)
3. \(158~\text{N}\)
4. \(68~\text{N}\)
A bullet of mass \(0.04~\text{kg}\) moving with a speed of \(90~\text{m/s}\) enters a heavy fixed wooden block and is stopped after a distance of \(60~\text{cm}\). The average resistive force exerted by the block on the bullet is:
| 1. | \(0~\text{N}\) | 2. | \(270~\text{N}\) |
| 3. | \(370~\text{N}\) | 4. | \(290~\text{N}\) |
1. zero
2. \(\dfrac 1 2 {mg}\)
3. \(mg\)
4. \(2mg\)
The figure shows the position-time graph of a body of mass \(0.04~\text{kg}\). Then the magnitude of each impulse is:
1. \(8 \times 10^{-4} ~\text{kg-ms}^{-1}\)
2. \(8 \times 10^{-3} ~\text{kg-ms}^{-1}\)
3. \(4 \times 10^{-4} ~\text{kg-ms}^{-1}\)
4. \(4 \times 10^{-3} ~\text{kg-ms}^{-1}\)
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