A particle of mass \(m\) is observed from an inertial frame of reference and is found to move in a circle of radius \(r\) with a uniform speed \(v\). The centrifugal force on it is:
| 1. | \(\frac{mv^2}{r}\) towards the centre |
| 2. | \(\frac{mv^2}{r}\) away from the centre |
| 3. | \(\frac{mv^2}{r}\) along the tangent through the particle |
| 4. | zero |
Two stones of masses \(m\) and \(2m\) are whirled in horizontal circles, the heavier one in a radius \(\dfrac{r}{2}\) and the lighter one in a radius \(r\). The tangential speed of lighter stone is \(n\) times that of the value of heavier stone when they experience the same centripetal forces. The value of \(n\) is:
1. \(3\)
2. \(4\)
3. \(1\)
4. \(2\)
A particle is going in a spiral path as shown in the figure with constant speed.
| 1. | the velocity of the particle is constant. |
| 2. | the acceleration of the particle is constant. |
| 3. | the magnitude of the acceleration is constant. |
| 4. | the magnitude of the acceleration is decreasing continuously. |
A car moves at a constant speed on a road as shown in the figure. The normal force by the road on the car is \(N_A\) and \(N_B\) when it is at the points \(A\) and \(B\) respectively.
| 1. | \( N_A=N_B \) |
| 2. | \( N_A>N_B \) |
| 3. | \(N_A<N_B\) |
| 4. | insufficient information to decide the relation of \(N_A\) and \(N_B\) |