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Q. No.In the given figure, \(a=15\) m/s2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius \(R=2.5\) m at a given instant of time. The speed of the particle is:
1. \(4.5\) m/s
2. \(5.0\) m/s
3. \(5.7\) m/s
4. \(6.2\) m/s
| 1. | \(0.15\) m/s2 | 2. | \(0.18\) m/s2 |
| 3. | \(0.2\) m/s2 | 4. | \(0.1\) m/s2 |
| 1. | The velocity and acceleration both are parallel to \(\vec{r }.\) |
| 2. | The velocity is perpendicular to \(\vec{r }\) and acceleration is directed towards to origin. |
| 3. | The velocity is parallel to \(\vec{r }\) and acceleration is directed away from the origin. |
| 4. | The velocity and acceleration both are perpendicular to \(\vec{r}.\) |
A particle of mass \(10\ \text{g}\) starts from rest and moves along a circle of radius \(6.4\ \text{cm}\) with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to \(8 \times10^{-4}\ \text{J}\) by the end of the second revolution after the beginning of the motion?
1. \(0.15\ \text{m/s}^2\)
2. \(0.18\ \text{m/s}^2\)
3. \(0.2\ \text{m/s}^2\)
4. \(0.1\ \text{m/s}^2\)
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Q. No.
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