Physics MCQs

Physics

Rotational and Circular Motion


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#137

On a frictionless banked curve of radius $r$ and bank angle $\phi$, the ideal speed is:

A) $v=\sqrt{gr\tan\phi}$

B) $v=\sqrt{rg\tan\phi}$

C) $v=rg\phi$

D) $v=\sqrt{g/\tan\phi}$

Answer:   B
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#138

On a frictionless banked curve of radius $r$ and bank angle $\phi$, the ideal speed is:

A) $v=\sqrt{rg\tan\phi}$

B) $v=rg\phi$

C) $v=\sqrt{gr\tan\phi}$

D) $v=\sqrt{g/\tan\phi}$

Answer:   A
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#139

In absence of external torque, a spinning body tends to:

A) lose all rotational KE

B) keep its angular momentum vector constant

C) double its angular speed

D) reverse spin spontaneously

Answer:   B
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#140

On a frictionless banked curve of radius $r$ and bank angle $\phi$, the ideal speed is:

A) $v=\sqrt{rg\tan\phi}$

B) $v=\sqrt{gr\tan\phi}$

C) $v=rg\phi$

D) $v=\sqrt{g/\tan\phi}$

Answer:   A
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#141

Work done by a constant torque $\tau$ through angle $\theta$ is:

A) $W=I\omega$

B) $W=\tau\,\theta$

C) $W=\alpha\theta$

D) $W=\tau/\theta$

Answer:   B
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#142

On a frictionless banked curve of radius $r$ and bank angle $\phi$, the ideal speed is:

A) $v=rg\phi$

B) $v=\sqrt{gr\tan\phi}$

C) $v=\sqrt{g/\tan\phi}$

D) $v=\sqrt{rg\tan\phi}$

Answer:   D
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#143

A mass $m=0.5\,\text{kg}$ moves in a circle of radius $r=1\,\text{m}$ with speed $v=10\,\text{m s}^{-1}$. The required centripetal force is:

A) $mvr$

B) $\dfrac{r}{mv^{2}}$

C) $\dfrac{mv^2}{r}$

D) $\dfrac{v}{mr}$

Answer:   C
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#144

A mass $m=4\,\text{kg}$ moves in a circle of radius $r=5\,\text{m}$ with speed $v=10\,\text{m s}^{-1}$. The required centripetal force is:

A) $\dfrac{v}{mr}$

B) $mvr$

C) $\dfrac{mv^2}{r}$

D) $\dfrac{r}{mv^{2}}$

Answer:   C
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