two cars of mass m1 and m2 are moving in circles of radii

Two cars of mass $${m_1}$$ and $${m_2}$$ are moving in circles of radii $${r_1}$$ and $${r_2}$$ respectively. Their speeds are such that they make complete circles in the same time $$t.$$ The ratio of their centripetal acceleration is:

A. $${m_1}{r_1}:{m_2}{r_2}$$

B. $${m_1}:{m_2}$$

C. $${r_1}:{r_2}$$

D. $$1:1$$

Answer : $${r_1}:{r_2}$$

Solution :
$$\eqalign{ & a = r\,{w^2} = r\, \times {\left( {\frac{{2\pi }}{T}} \right)^2} \cr & \therefore \frac{{{a_1}}}{{{a_2}}} = \frac{{{r_1}}}{{{r_2}}}\,\,\left[ {\because T{\text{ is same}}} \right] \cr} $$

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Basic Physics >> Kinematics

Releted Question 1

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A. Due north

B. $${30^ \circ }$$ East of north

C. $${30^ \circ }$$ West of north

D. $${60^ \circ }$$ East of north

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Releted Question 2

A boat which has a speed of $$5 km/hr$$ in still water crosses a river of width $$1 \,km$$ along the shortest possible path in $$15 \,minutes.$$ The velocity of the river water in $$km/hr$$ is-

A. 1

B. 3

C. 4

D. $$\sqrt {41} $$

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In $$1.0\,s,$$ a particle goes from point $$A$$ to point $$B,$$ moving in a semicircle of radius $$1.0 \,m$$ (see Figure). The magnitude of the average velocity-

A. $$3.14 \,m/s$$

B. $$2.0 \,m/s$$

C. $$1.0 \,m/s$$

D. Zero

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Releted Question 4

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Two cars of mass $${m_1}$$ and $${m_2}$$ are moving in circles of radii $${r_1}$$ and $${r_2}$$ respectively. Their speeds are such that they make complete circles in the same time $$t.$$ The ratio of their centripetal acceleration is:

Releted MCQ Question on
Basic Physics >> Kinematics

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A boat which has a speed of $$5 km/hr$$ in still water crosses a river of width $$1 \,km$$ along the shortest possible path in $$15 \,minutes.$$ The velocity of the river water in $$km/hr$$ is-

In $$1.0\,s,$$ a particle goes from point $$A$$ to point $$B,$$ moving in a semicircle of radius $$1.0 \,m$$ (see Figure). The magnitude of the average velocity-

A ball is dropped vertically from a height $$d$$ above the ground. It hits the ground and bounces up vertically to a height $$\frac{d}{2}.$$ Neglecting subsequent motion and air resistance, its velocity $$v$$ varies with the height $$h$$ above the ground as-

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Two cars of mass $${m_1}$$ and $${m_2}$$ are moving in circles of radii $${r_1}$$ and $${r_2}$$ respectively. Their speeds are such that they make complete circles in the same time $$t.$$ The ratio of their centripetal acceleration is:

Releted MCQ Question on Basic Physics >> Kinematics

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A boat which has a speed of $$5 km/hr$$ in still water crosses a river of width $$1 \,km$$ along the shortest possible path in $$15 \,minutes.$$ The velocity of the river water in $$km/hr$$ is-

In $$1.0\,s,$$ a particle goes from point $$A$$ to point $$B,$$ moving in a semicircle of radius $$1.0 \,m$$ (see Figure). The magnitude of the average velocity-

A ball is dropped vertically from a height $$d$$ above the ground. It hits the ground and bounces up vertically to a height $$\frac{d}{2}.$$ Neglecting subsequent motion and air resistance, its velocity $$v$$ varies with the height $$h$$ above the ground as-

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Releted MCQ Question on
Basic Physics >> Kinematics

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Kinematics