Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>EXERCISE>Q 1

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Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings $100 m$ apart and of same height of $200 m,$ with the same velocity of $25 m s^{- 1}$ . When and where will the two bullets collide ? $(g = 10 m s^{- 2})$

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Important Questions on Laws of Motion

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>EXERCISE>Q 2

When an object is shot from the bottom of a long smooth inclined plane kept at an angle

60 °

with horizontal, it can travel a distance

x_{1}

along the plane. But when the inclination is decreased to

30 °

and the same object is shot with the same velocity, it can travel

x_{2}

distance. Then

x_{1} : x_{2}

will be:

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>EXERCISE>Q 3

The speed of a swimmer in still water is

20 m s^{- 1} .

The speed of river water is

10 m s^{- 1}

and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his strokes with respect to the north is given by

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>EXERCISE>Q 4

Two particles

A

and

B

are moving in uniform circular motion in concentric circles of radii

r_{A}

and

r_{B}

with speed

v_{A}

and

v_{B}

respectively. Their time period of rotation is the same. The ratio of angular speed of

A

to that of

B

will be :

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>EXERCISE>Q 5

The

x

and

y

coordinates of the particle at any time are

x = 5 t - 2 t^{2}

and

y = 10 t

respectively, where

x

and

y

are in meters and

t

in seconds. The acceleration of the particle at

t = 2 s

is

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>EXERCISE>Q 6

In the given figure, $a = 15 m s^{- 2}$ 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

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>EXERCISE>Q 7

If the magnitude of sum of two vectors is equal to magnitude of difference of two vectors, the angle between these vectors is

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>EXERCISE>Q 8

A ball of mass

m

is moving towards a player with velocity

v .

If player stopped it, then impulse applied by the player is

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>EXERCISE>Q 9

A body of mass

m

is projected with initial speed

u

at an angle

θ

with the horizontal. The change in momentum of body after time

t

is