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**Work, Energy and Power - Solved MCQ Test Series**

Here you get carefully prepared 10 MCQ Practice Questions (Q.No.31 - 40) in each India Study Solution Test Series with hints & solutions (given at the end) from the Physics chapter - Work, Energy and Power.

__Also study__:**Work,Energy and Power Test Series Set-1: Q No (1-10)****Work, Energy and Power Test Series Set-2: Q No (11-20)****Work, Energy and Power Test Series Set-3: Q No (21-30)**

*Solved MCQ Test Series – Set 4 (Q. No. 31-40)*
Question 31: A boy is swinging on a swing such that his lowest and highest positions are at heights of 2m and 4.5m respectively. His velocity at the lowest position is,

a. 2.5ms

^{–1}b. 7ms^{–1}
c. 14ms

^{–1}d. 20ms^{–1}
Question 32: The kinetic energy of a body of mass 2 kg and momentum of 2 Ns is,

a. 1J b. 2J c. 3J d. 4J

Question 33: The diagram below shows Potential Energy vs Displacement curve for one dimensional conservative field. Force at points ‘A’ and ‘B’ are respectively -

a. Positive, Positive

b. Negative, Positive

c. Negative, Negative

d. Positive, Negative

Question 34: A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance ‘x’ of the particle from the origin as F(x) = –kx + ax

^{3}.
Here ‘k’ and ‘a’ are positive constants. For x ≥ 0, the functional form of the potential energy U(x) of the particle is,

Question 35: A solid cylinder of mass 3kg is rolling on a horizontal surface with velocity 4 m/s. It collides with a horizontal spring of force constant 200N/m. The maximum compression produced in the spring will be -

a. 0.7m b. 0.2m

c. 0.5m d. 0.6m

Question 36: A pump of 200W power is lifting 2kg water per second from an average depth of 10m. The velocity with which the water comes out of the pump is, (g = 9.8 ms

^{–2})
a. 2 ms

^{–1}b. 2.5 ms^{–1}
c. 4 ms

^{–1}d. 3 ms^{–1}
Question 37: Two particles of masses ‘m’ and ‘2m’ have same momentum. If the kinetic energies of the two particles are E

_{1}and E_{2}respectively then what should the ratio of E_{1}: E_{2}
a. 1 : 2 b. 2 : 1

c. 1 : √2 d. 1 : 4

Question 38: The kinetic energy (K) of a body of mass ‘m’ moving along a circle of radius ‘r’ depends on the distance covered by the body as, K = as

^{2}, where ‘a’ is a constant. The centripetal force acting on the body as a function of ‘s’ is -
a. 2as

^{2}/r b. 2as/r
c. as

^{2}/r d. 4as^{2}/r
Question 39: If a force ‘F’ is applied on a body and it moves with a velocity ‘v’ the power will be,

a. Fv b. F/v c. F/v

^{2}d. Fv^{2}
Question 40: A shell is fired from cannon, which explodes in mid air, then -

a. its total KE increases

b. its total momentum increases

c. its total momentum decreases

d. there will be no change in momentum or KE

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*India Study Solution***Physics Solution : Work, Energy and Power**

*Solutions of Physics MCQ Test Series – Set 4 (Q. No.31–40)*__Answer__31: b.

__Answer__32: a. (Hint: KE = p

^{2}/2m = 1).

__Answer__33: a.

__Answer__34: d.

__Answer__35: d.

__Answer__36: a.

__Answer__37: b (Hint: e = p

^{2}/(2m). Since, momenta of the two particles are same,

then E ยต 1/m.

Now, E

_{1}: E_{2}= m2 : m1 = 2 : 1).__Answer__38: b.

__Answer__39: a.

__Answer__40: a.

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