300 J of work is done in sliding a 2kg block up an inclined plane of height 10 m. Taking g = 10 m/s^{2}, work done against friction is

(A)

200 J

(B)

100 J

(C)

zero

(D)

1000J

Question-2

An explosion blows a rock into three parts. Two parts go off at the right angles to each other. These two are, 1kg first part moving with a velocity of 12 ms^{-1} and 2kg second part moving with a velocity of 8ms^{-1}. If the third part flies off with a velocity of 4ms^{-1}, its mass would be

(A)

5kg

(B)

7kg

(C)

17kg

(D)

3kg

Question-3

A particle of mass m_{1} is moving with a velocity v_{1} and another particle of mass m_{2} is moving with a velocity v_{2}. Both of them have the same momentum but their different kinetic energies are E_{1} and E_{2} respectively. If m_{1}> m_{2}, then

(A)

E_{1} < E_{2 }

(B)

(C)

E_{1} > E_{2 }

(D)

E_{1} = E_{2}

Question-4

An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of water jet. What is the rate at which kinetic energy is imparted to water?

(A)

½ mv^{3 }

(B)

mv^{3 }

(C)

½ mv^{2 }

(D)

½ m^{2}v^{2}

Question-5

The KE acquired by a mass m in traveling a certain distance d, starting from rest, under the action of a constant force is directly proportional to

(A)

m

(B)

(C)

(D)

independent of m

Question-6

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from east with the spring initially unstretched. The maximum extension produced in the length of the spring will be

(A)

mg/k

(B)

2mg/k

(C)

4mg/k

(D)

mg/2k

Question-7

If the momentum of a body is increased by 150% then the percentage increase in its kinetic energy is

(A)

50%

(B)

100%

(C)

125%

(D)

200%

Question-8

A force acts on a 3.0 g particle in such a way that the position of the particle as a function of time is given by x = 3 t – 4 t^{ 2} + t^{ 3,} where x is in meter and t in second. The work done during the first 4 s is

(A)

570 mJ

(B)

450 mJ

(C)

490 mJ

(D)

528 mJ

Question-9

A body of mass m moving with velocity 3 km/h collides with a body of mass 2.m at rest. Now the coalesced mass starts to move with a velocity

(A)

1 km/h

(B)

2 km/h

(C)

3 km/h

(D)

4 km/h

Question-10

A shell of mass 200 gm is ejected from a gun of mass 4kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is

(A)

100 ms^{-1 }

(B)

80 ms^{-1 }

(C)

40 ms^{-1}

(D)

120 ms^{-1}

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