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- Work energy and power class 11 numericals

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Given below are work energy and power class 11 mcq along with their answers.

Which of the following is equal with Newton-meter?

(a) Joule

(b) Horse Power

(c) Watt

(d) Pascal

a is correct

A particle is thrown upward with some kinetic energy. What happened to its kinetic energy at the highest point or height it reaches.

(a) Its kinetic energy is lost

(b) It s all kinetic energy is absorbed by the air

(c) Its kinetic energy is converted to potential energy

(d) Its kinetic energy is remain same

Its kinetic energy is converted to potential energy

So c is correct

A body is falling freely under the action of gravity alone in vacuum.Which of the following quantities remain constant during the fall?

(a) Kinetic energy.

(b) Potential energy.

(c) Total mechanical energy.

(d) Total linear momentum.

mechanical energy= KE + PE

KE and PE varies but ME remains constants

So c is correct

During inelastic collision between two bodies, which of the following quantities always remain conserved?

(a) Total kinetic energy.

(b) Total mechanical energy.

(c) Total linear momentum.

(d) Speed of each body

Total linear momentum is conserved

So c is correct

What is the smallest unit of power?

(a) Watt

(b) Kilowatt

(c) Horse power

(d) Milliwatt

Milliwatt is smallest unit. All other are larger than watt

So d is correct

A mass of 2 kg is moving along a circular path of radius 1 m. If the mass moves with 300 revolutions per minute, its kinetic energy would be

(a) $250 \pi ^2$

(b) $100\pi ^2$

(c) $5\pi ^2$

(d) 0

$v=r \omega =1 \times 2 \pi \times 5 = 10 \pi$

Kinetic Energy=$\frac {1}{2}mv^2=100\pi ^2$

If the velocity of the object is increased by 0.1%, then the kinetic energy is increased by

(a) 0.1 %

(b) 0.2%

(c) 0.4%

(d) 0.01%

Let initial velocity=v

After increase, final velocity becomes = 1.001v

$KE_i= \frac {1}{2}mv^2$

$KE_f=\frac {1}{2}m(1.001v)^2= 1.002 \times \frac {1}{2}mv^2$

% Increase = $\frac {KE_f -KE_i}{KE_i} \times 100 = .002 \times 100= .2$ %

Hence (b) is correct

A loaf of Bread gives a boy of mass 40kg an energy of 21kJ. If the efficiency is 28% then the height can be climbed by him using this energy is

(a) 15 m

(b) 21 m

(c) 19.5m

(d) 15.5 m

Energy for climb= 28% of 21 kJ=5.88kJ

By climbing energy form bread is converted to potential energy of boy=mgh

So,

5.88kJ=mgh

on substituting m=40 kg, g=9.8 m/s^{2}

5.88 1000=(40)(9.8) h

h=15 m

Hence (a) is correct

A body of mass 1 kg is rotating in a circular path of radius 1 m with constant velocity of 5 rev/sec. The work done in one complete revolution is

a. 5 J

b. 2.5 J

c.12.5 J

d. 0

Workdone is zero as Force and displacement is perpendicular

Hence (d) is correct

Two bodies of mass $m_1$ and $m_2$ have equal kinetic energies.What is the ratio of their linear momentum

a. $\sqrt {\frac {m_1}{m_2}}$

b. $\sqrt {\frac {m_2}{m_1}}$

c. $\sqrt {\frac {m_1 + m_2}{m_2}}$

d. $\sqrt {\frac {m_1}{m_1+ m_2}}$

$\frac {1}{2}mv_1^2= \frac {1}{2}mv_2^2$

or

$\frac {v_1}{v_2} = \sqrt {\frac {m_2}{m_1}}$

Now

$\frac {p_1}{p_2} = \frac {m_1v_1}{m_2v_2} = \frac {m_1}{m_2} \times \sqrt {\frac {m_2}{m_1}}=\sqrt {\frac {m_1}{m_2}}$

Hence (a) is correct

A truck and car are moving with same Kinetic energies on a straight road.Their engines are simuktanously switched off .Which one will stop at a lesser distance

a. Truck

b. Car

c. Both will stop at the same distance

d. Cannot say with the given data

Loss in KE = Workdone by Friction= $\mu mg d$

or

$d = \frac {\text {loss in KE}{\mu mg}$

hence

$d \alpha \frac {1}{m}$

Since truck has more mass, it will stop at a lesser distance

Hence (a) is correct

Prove that the magnitude of the ratio of difference in speed after collision to the difference in the speed before collision for a 1D elastic collision is equal to one

One end of block of mass m resting on a smooth horizontal surface is attached to one end of an ideal spring. The other end of this spring is attached to the wall.

a. Find the expression for the Workdone by the spring force if the block is moved from an initial displacement $x_i$ to a final displacement $x_f$.

b. Show that spring force is conservative in nature

c. if the block is moved from equilibrium position through a distance $x_m$ and then released from rest. Find the maximum speed of the block

A body of mass m moving with speed v collides elastically head-on with another body of mass m initially at rest.Show that moving body will come to stop as a result of this collision

Draw a graph showing the variation of potential energy and kinetic energy with respect to height of a free fall under gravitational force

State Work-energy theorem . Prove it for Variable force

Given below are numericals on work power and energy for class 11 physics chapter 6. These work energy and power class 11 numericals comes with solutions that can be checked by clicking the *'Solutions'* button.

A particle moves along the X-axix from x=0 to x=5 m under the action of the force given by

$F=7-2x+3x^2$

Find the workdone in the process

Solution