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Work Power and Energy

505 Questions Start Allen Test
All Exams Allen Objective Errorless
KCET 2005; Kerala PET 2009 Q201 Errorless Graphical Questions MCQ
The relationship between the force F and position x of a body is as shown in figure. The work done in displacing the body from x = 1 m to x = 5 m will be
A.
$30J$
B.
15 J
C.
25 J
D.
20 J
CBSE PMT 2005 Q202 Errorless Graphical Questions MCQ
A force $F$ acting on an object varies with distance $x$ as shown here. The force is in newton and $x$ in metre. The work done by the force in moving the object from $x = 0$ to $x = 6m$ is
A.
4.5 J
B.
13.5 J
C.
9.0 J
D.
$18.0J$
AIEEE 2004 Q203 Errorless Work Done by Constant Force MCQ
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particle takes place in a plane. It follows that
A.
Its velocity is constant
B.
Its acceleration is constant
C.
Its kinetic energy is constant
D.
It moves in a straight line
DCE 2004 Q204 Errorless Work Done by Constant Force MCQ
A man starts walking from a point on the surface of earth (assumed smooth) and reaches diagonally opposite point. What is the work done by him
A.
Zero
B.
Positive
C.
Negative
D.
Nothing can be said
BCECE 2004 Q205 Errorless Work Done by Constant Force MCQ
A ball of mass m moves with speed v and strikes a wall having infinite mass and it returns with same speed then the work done by the ball on the wall is
A.
Zero
B.
mv J
C.
m/v.J
D.
v/m J
AIEEE 2004 Q206 Errorless Work Done by Variable Force MCQ
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to
A.
$x^{2}$
B.
$e^{x}$
C.
x
D.
$\log_{e}x$
DCE 2004 Q207 Errorless Work Done by Variable Force MCQ
Natural length of a spring is 60 cm, and its spring constant is 4000 N/m. A mass of 20 kg is hung from it. The extension produced in the spring is, (Take $g = 9.8 \, m/s^{2}$ )
A.
4.9 cm
B.
0.49 cm
C.
9.4 cm
D.
0.94 cm
AFMC 2004; Odisha JEE 2008 Q208 Errorless Conservation of Energy and Momentum MCQ
A rifle bullet loses $1/20^{th}$ of its velocity in passing through a plank. The least number of such planks required just to stop the bullet is
A.
5
B.
10
C.
11
D.
20
Pb. PET 2004 Q209 Errorless Conservation of Energy and Momentum MCQ
If a shell fired from a cannon, explodes in mid air, then
A.
Its total kinetic energy increases
B.
Its total momentum increases
C.
Its total momentum decreases
D.
None of these
DCE 2004 Q210 Errorless Conservation of Energy and Momentum MCQ
A body is moving with a velocity v, breaks up into two equal parts. One of the part retraces back with velocity v. Then the velocity of the other part is
A.
v in forward direction
B.
3v in forward direction
C.
v in backward direction
D.
3v in backward direction
CBSE PMT 2004 Q211 Errorless Conservation of Energy and Momentum MCQ
A ball of mass 2kg and another of mass 4kg are dropped together from a 60 feet tall building. After a fall of 30 feet each towards earth, their respective kinetic energies will be in the ratio of
A.
$\sqrt{2}:1$
B.
1:4
C.
1:2
D.
$1:\sqrt{2}$
KCET 2004 Q212 Errorless Conservation of Energy and Momentum MCQ
A bullet moving with a speed of $100 \, ms^{-1}$ can just penetrate two planks of equal thickness. Then the number of such planks penetrated by the same bullet when the speed is doubled will be
A.
4
B.
8
C.
6
D.
10
AIIMS 2004 Q213 Errorless Conservation of Energy and Momentum MCQ
A bomb of mass 3.0 kg explodes in air into two pieces of masses 2.0 kg and 1.0 kg. The smaller mass goes at a speed of 80 m/s. The total energy imparted to the two fragments is
A.
1.07 kJ
B.
2.14 kJ
C.
2.4 kJ
D.
4.8 kJ
DCE 2004 Q214 Errorless Conservation of Energy and Momentum MCQ
A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses 1 g and 3 g. The total K.E. of the fragments is $6.4 \times 10^{4} J$ . What is the K.E. of the smaller fragment
A.
$2.5 \times 10^{4} J$
B.
$3.5 \times 10^{4} J$
C.
$4.8 \times 10^{4} J$
D.
$5.2 \times 10^{4} J$
UPSEAT 2004 Q215 Errorless Conservation of Energy and Momentum MCQ
An object of mass 3m splits into three equal fragments. Two fragments have velocities $v\hat{j}$ and $v\hat{i}$ . The velocity of the third fragment is
A.
$v(\hat{j}-\hat{i})$
B.
$v(\hat{i}-\hat{j})$
C.
$-v(\hat{i}+\hat{j})$
D.
$\frac{v(\hat{i}+\hat{j})}{\sqrt{2}}$
Odisha PMT 2004 Q216 Errorless Conservation of Energy and Momentum MCQ
Four particles given, have same momentum. Which has maximum kinetic energy
A.
Proton
B.
Electron
C.
Deutron
D.
$\alpha$ -particles
AIEEE 2004; BHU 2006 Q217 Errorless POWER MCQ
A body of mass m accelerates uniformly from rest to $v_{1}$ in time $t_{1}$ . As a function of time t, the instantaneous power delivered to the body is
A.
$\frac{mv_{1}t}{t_{1}}$
B.
$\frac{mv_{1}^{2}t}{t_{1}}$
C.
$\frac{mv_{1}t^{2}}{t_{1}}$
D.
$\frac{mv_{1}^{2}t}{t_{1}^{2}}$
Kerala PMT 2004 Q218 Errorless POWER MCQ
Power of a water pump is 2 kW. If $g = 10 \, m/sec^{2}$ , the amount of water it can raise in one minute to a height of 10 m is
A.
2000 litre
B.
1000 litre
C.
100 litre
D.
1200 litre
Odisha PMT 2004 Q219 Errorless Elastic and Inelastic Collision MCQ
A shell initially at rest explodes into two pieces of equal mass, then the two pieces will
A.
Be at rest
B.
Move with different velocities in different directions
C.
Move with the same velocity in opposite directions
D.
Move with the same velocity in same direction
DCE 2004 Q220 Errorless Elastic and Inelastic Collision MCQ
Two balls at same temperature collide. What is conserved
A.
Temperature
B.
Velocity
C.
Kinetic energy
D.
Momentum
Odisha PMT 2004 Q221 Errorless Elastic and Inelastic Collision MCQ
A body of mass m is at rest. Another body of same mass moving with velocity V makes head on elastic collision with the first body. After collision the first body starts to move with velocity
A.
V
B.
2V
C.
Remain at rest
D.
No predictable
UPSEAT 2004 Q222 Errorless Elastic and Inelastic Collision MCQ
Four smooth steel balls of equal mass at rest are free to move along a straight line without friction. The first ball is given a velocity of 0.4 m/s. It collides head on with the second elastically, the second one similarly with the third and so on. The velocity of the last ball is
A.
0.4m/s
B.
0.2m/s
C.
0.1m/s
D.
0.05m/s
BCECE 2004; J & K CET 2006 Q223 Errorless Elastic and Inelastic Collision MCQ
A body of mass M moves with velocity v and collides elastically with a another body of mass m (M>>m) at rest then the velocity of body of mass m is
A.
v
B.
2v
C.
v/2
D.
Zero
UPSEAT 2004 Q224 Errorless Critical Thinking MCQ
Consider elastic collision of a particle of mass m moving with a velocity u with another particle of the same mass at rest. After the collision the projectile and the struck particle move in directions making angles $\theta_{1}$ and $\theta_{2}$ respectively with the initial direction of motion. The sum of the angles. $\theta_{1} + \theta_{2}$ , is
A.
$45^{\circ}$
B.
$90^{\circ}$
C.
$135^{\circ}$
D.
$180^{\circ}$
IIT-JEE (Screening) 2004; J & K CET 2006 Q225 Errorless Graphical Questions MCQ
A particle is placed at the origin and a force $F = kx$ is acting on it (where $k$ is positive constant). If $U(0) = 0$ , the graph of $U(x)$ versus $x$ will be (where $U$ is the potential energy function)
A.
B.
C.
D.