Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>Assignment>Q 16

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The magnitude of force acting on a particle moving along $x$ -axis varies with time $(t)$ as shown in figure. If at $t = 0$ the velocity of particle is $v_{0},$ then its velocity at $t = T_{0}$ will be

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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>Assignment>Q 17

Three forces

{\vec{F}}_{1} = (2 \hat{i} + 4 \hat{j}) N; {\vec{F}}_{2} = (2 \hat{j} - \hat{k}) N

and

{\vec{F}}_{3} = (\hat{k} - 4 \hat{i} - 2 \hat{j}) N

are applied on an object of mass

1 kg

at rest at origin. The position of the object at

t = 2 s

will be

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>Assignment>Q 18

Tension in the rope at the rigid support is $(g = 10 m s^{- 2})$

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>Assignment>Q 19

A rocket of mass

5700 kg

ejects mass at a constant rate of

15 kg s^{- 1}

with constant speed of

12 km s^{- 1} .

The acceleration of the rocket

1

minute after the blast is

(g = 10 m s^{- 2})

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>Assignment>Q 20

A cracker rocket is ejecting gases at a rate of

0.05 kg s^{- 1}

with a velocity

400 m s^{- 1} .

The accelerating force on the rocket is

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>Assignment>Q 21

A projectile is fired with velocity

u

at an angle

θ

with horizontal. At the highest point of its trajectory it splits up into three segments of masses

m, m

and

2 m

. First part falls vertically downward with zero initial velocity and second part returns via same path to the point of projection. The velocity of third part of mass

2 m

just after explosion will be

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>Assignment>Q 22

A bomb of mass

9 kg

explodes into two pieces of mass

3 kg

and

6 kg .

The velocity of mass

3 kg

is

16 m s^{- 1} .

The kinetic energy of mass

6 kg

in joule is:

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>Assignment>Q 23

A

6000 kg

rocket is set for firing. If the exhaust speed is

1000 m s^{- 1}

, how much gas must be ejected each second to supply the thrust needed to overcome the weight of the rocket?

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Gamma Question Bank for Medical Physics>Chapter 5 - Laws of Motion>Assignment>Q 24

The momentum $P$ of an object varies with time $(t)$ as shown in figure. The corresponding force $(F)$ -time $(t)$ graph is

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