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Standard VIII

Physics

Floating and Sinking

The designer ...

Question

The designer of a "roller coaster" wishes to experience weightlessness round the top of a hilltop of radius curvature $20 m$ . The speed at the hilltop is $(g = 9.8 m / s^{2})$ :

62 m / s

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- 40 m / s

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14 m / s

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196 m / s

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Solution

The correct option is C $14 m / s$
To experience weightlessness, the gravitational force must be equal to the centripetal force at the top.
$m g = \frac{m v^{2}}{r} \Rightarrow v = \sqrt{g r} \Rightarrow v = \sqrt{9.8 \times 20} = \sqrt{196} = 14 m / s$

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The designer of a "roller coaster" wishes to experience weightlessness round the top of a hilltop of radius curvature 20 m. The speed at the hilltop is (g=9.8 m/s2):

The correct option is C 14 m/sTo experience weightlessness, the gravitational force must be equal to the centripetal force at the top.mg=mv2r⇒v=√gr⇒v=√9.8×20=√196=14m/s

The designer of a "roller coaster" wishes to experience weightlessness round the top of a hilltop of radius curvature $20 m$ . The speed at the hilltop is $(g = 9.8 m / s^{2})$ :

The correct option is C $14 m / s$
To experience weightlessness, the gravitational force must be equal to the centripetal force at the top.
$m g = \frac{m v^{2}}{r} \Rightarrow v = \sqrt{g r} \Rightarrow v = \sqrt{9.8 \times 20} = \sqrt{196} = 14 m / s$