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Newton's Laws of Motion and Friction question bank (Physics)

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Q1.

$A$ car is driven on a banked road of radius of curvature $20 \ m$ with maximum safe speed. In order to increase its safe speed by $10 \%$,the increase in the radius of curvature will be (Angle of banking and friction is unchanged in both the cases.) (in $m$)

(A)

$4.2$

(B)

$6.1$

(C)

$24.2$

(D)

$12.1$

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Q2.

$A$ body of mass $200 \text{ g}$ is tied to a spring of spring constant $12.5 \text{ N/m}$,while the other end of the spring is fixed at point '$O$'. If the body moves about '$O$' in a circular path on a smooth horizontal surface with a constant angular speed of $5 \text{ rad/s}$,then the ratio of the extension in the spring to its natural length will be:

(A)

$1:2$

(B)

$1:1$

(C)

$2:3$

(D)

$2:5$

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