Laws of Motion Test

Directions For Questions

The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body.
A ball of mass $$250 g$$ is thrown with a speed of 30 m/s. The ball strikes a bat and is hit straight back along the same line at a speed of 50 m/s. Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig.

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Laws of Motion ...

Question 1

40 N

10 N

15.5 N

20 N

Question 2

$$\dfrac{{Mg}}{2}$$

$$\dfrac{{Mg}}{3}$$

$$\dfrac{3}{5}Mg$$

$$\dfrac{{Mg}}{4}$$

Question 3

Pattern $$A$$ is more sturdy

Pattern $$B$$ is more sturdy

Pattern $$C$$ is more sturdy

none of these

Question 4

$$mv$$

$$\cfrac{mv}{2}$$

$$2mv$$

$$\sqrt {3} mv$$

Question 5

$$2500 N$$

$$5000 N$$

$$7500 N$$

$$1250 N$$

Question 6

$$\dfrac { 10mg }{ 5 }$$

$$\dfrac { 9mg }{ 5 }$$

$$\dfrac { 11mg }{ 5 }$$

$$\dfrac { 12mg }{ 5 }$$

Question 7

$$\cfrac { dU }{ dx } =0$$ and $$\cfrac { { d }^{ 2 }U }{ d{ x }^{ 2 } } >0$$

$$\cfrac { dU }{ dx } =0\quad $$ only

$$\cfrac { dU }{ dx } =0$$ and $$\cfrac { { d }^{ 2 }U }{ d{ x }^{ 2 } } < 0$$

None of these

Question 8

$$\sin^{-1}\ (0.56)$$

$$\cot^{-1}\ (1.78)$$

$$\cos^{-1}\ (0.56)$$

$$\tan^{-1}\ (0.56)$$

Question 9

It will stay the same.

It will diminish.

It will increase

None of the above (this is a jokeits got to be one of the three above)

Question 10

$$sin^{-1}(\frac{1}{3})$$

$$sin^{-1}(\frac{3}{4})$$

$$sin^{-1}(\frac{2}{3})$$

never leaves contact with the track

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