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Work Power and Energy

505 Questions Start Allen Test
All Exams Allen Objective Errorless
MP PET 2003 Q226 Errorless Work Done by Constant Force MCQ
A body of mass 5 kg is placed at the origin, and can move only on the x-axis. A force of 10 N is acting on it in a direction making an angle of $60^{\circ}$ with the x-axis and displaces it along the x-axis by 4 metres. The work done by the force is
A.
2.5 J
B.
7.25 J
C.
40 J
D.
20 J
BCECE 2003 Q227 Errorless Work Done by Variable Force MCQ
A spring when stretched by 2 mm its potential energy becomes 4 J. If it is stretched by 10 mm, its potential energy is equal to
A.
4 J
B.
54 J
C.
415 J
D.
None
CBSE PMT 2003; KCET 2012 Q228 Errorless Conservation of Energy and Momentum MCQ
A stationary particle explodes into two particles of a masses $m_{1}$ and $m_{2}$ which move in opposite directions with velocities $v_{1}$ and $v_{2}$ . The ratio of their kinetic energies $E_{1}/E_{2}$ is
A.
$m_{1}/m_{2}$
B.
1
C.
$m_{1}v_{2}/m_{2}v_{1}$
D.
$m_{2}/m_{1}$
MP PET 2003 Q229 Errorless Conservation of Energy and Momentum MCQ
The potential energy of a weight less spring compressed by a distance $a$ is proportional to
A.
$a$
B.
$a^2$
C.
$a^{-2}$
D.
$a^0$
Pb. PET 2003 Q230 Errorless POWER MCQ
From an automatic gun a man fires 360 bullet per minute with a speed of 360 km/hour. If each weighs 20 g, the power of the gun is
A.
600 W
B.
300 W
C.
150 W
D.
75 W
EAMCET 2003 Q231 Errorless Elastic and Inelastic Collision MCQ
Two particles having position vectors $\vec{r}_1 = (3\hat{i} + 5\hat{j})$ metres and $\vec{r}_2 = (-5\hat{i} - 3\hat{j})$ metres are moving with velocities $\vec{v}_1 = (4\hat{i} + 3\hat{j})m / s$ and $\vec{v}_2 = (\alpha \hat{i} + 7\hat{j}) m / s$ . If they collide after 2 seconds, the value of ' $\alpha'$ is
A.
2
B.
4
C.
6
D.
8
Pb. PET 2003 Q232 Errorless Perfectly Inelastic Collision MCQ
Two bodies of masses 0.1 kg and 0.4 kg move towards each other with the velocities 1 m/s and 0.1 m/s respectively, After collision they stick together. In 10 sec the combined mass travels
A.
120 m
B.
0.12 m
C.
12 m
D.
1.2 m
IIT-JEE (Screening) 2003 Q233 Errorless Critical Thinking MCQ
If $W_{1}, W_{2}$ and $W_{3}$ represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between $W_{1}, W_{2}$ and $W_{3}$
A.
$W_{1} > W_{2} > W_{3}$
B.
$W_{1} = W_{2} = W_{3}$
C.
$W_{1} < W_{2} < W_{3}$
D.
$W_{2} > W_{1} > W_{3}$
MP PMT 2003 Q234 Errorless Critical Thinking MCQ
A lorry and a car moving with the same K.E. are brought to rest by applying the same retarding force, then
A.
Lorry will come to rest in a shorter distance
B.
Car will come to rest in a shorter distance
C.
Both come to rest in a same distance
D.
None of the above
AIEEE 2003 Q235 Errorless Critical Thinking MCQ
Consider the following two statements 1 Linear momentum of a system of particles is zero 2 Kinetic energy of a system of particles is zero, Then
A.
1 implies 2 and 2 implies 1
B.
1 does not imply 2 and 2 does not imply 1
C.
1 implies 2 but 2 does not imply 1
D.
1 does not imply 2 but 2 implies 1
AFMC 2002 Q236 Errorless Work Done by Constant Force MCQ
If force and displacement of particle in direction of force are doubled. Work would be
A.
Double
B.
4 times
C.
Half
D.
$1 / 4$ times
AFMC 2002 Q237 Errorless Work Done by Constant Force MCQ
Which of the following is a unit of energy
A.
Unit
B.
Watt
C.
Horse Power
D.
None
JIPMER 2002 Q238 Errorless Work Done by Constant Force MCQ
A 50kg man with 20kg load on his head climbs up 20 steps of 0.25m height each. The work done in climbing is
A.
5 J
B.
350 J
C.
100 J
D.
3430 J
DCE 2002; Odisha JEE 2005; Kerala PMT 2006; Kerala PET 2008 Q239 Errorless Work Done by Variable Force MCQ
A particle moves under the effect of a force $F = Cx$ from $x = 0$ to $x = x_{1}$ . The work done in the process is
A.
$Cx_{1}^{2}$
B.
$\frac{1}{2}Cx_{1}^{2}$
C.
$Cx_{1}$
D.
Zero
Odisha JEE 2002; Kerala PMT 2006 Q240 Errorless Work Done by Variable Force MCQ
A position dependent force $F=7-2x+3x^{2}$ newton acts on a small body of mass 2 kg and displaces it from x=0 to x=5m. The work done in joules is
A.
70
B.
270
C.
35
D.
135
Odisha JEE 2002 Q241 Errorless Work Done by Variable Force MCQ
When a spring is stretched by 2 cm, it stores 100 J of energy. If it is stretched further by 2 cm, the stored energy will be increased by
A.
100 J
B.
200 J
C.
300 J
D.
400 J
AIEEE 2002, 03 Q242 Errorless Work Done by Variable Force MCQ
A spring of spring constant $5 \times 10^{3}$ N/m is stretched initially by 5cm from the unstretched position. Then the work required to stretch it further by another 5cm is
A.
6.25 N-m
B.
12.50 N-m
C.
18.75 N-m
D.
25.00 N-m
MP PMT 2002; CBSE PMT 2003, 06; UPSEAT 2004; Odisha PMT 2004; WB-JEE 2012 Q243 Errorless Work Done by Variable Force MCQ
If a long spring is stretched by 0.02 m, its potential energy is U. If the spring is stretched by 0.1 m, then its potential energy will be
A.
$\frac{U}{5}$
B.
U
C.
5U
D.
25U
MP PET 2002 Q244 Errorless Conservation of Energy and Momentum MCQ
In an explosion a body breaks up into two pieces of unequal masses. In this
A.
Both parts will have numerically equal momentum
B.
Lighter part will have more momentum
C.
Heavier part will have more momentum
D.
Both parts will have equal kinetic energy
RPET 2002 Q245 Errorless Conservation of Energy and Momentum MCQ
A particle of mass m moving with velocity $V_{0}$ strikes a simple pendulum of mass m and sticks to it. The maximum height attained by the pendulum will be
A.
$h = \frac{V_{0}^{2}}{8g}$
B.
$\sqrt{V_{0}g}$
C.
$2\sqrt{\frac{V_{0}}{g}}$
D.
$\frac{V_{0}^{2}}{4g}$
Kerala PET 2002 Q246 Errorless Conservation of Energy and Momentum MCQ
A particle of mass m at rest is acted upon by a force F for a time t. Its kinetic energy after an interval t is
A.
$\frac{F^{2}t^{2}}{m}$
B.
$\frac{F^{2}t^{2}}{2m}$
C.
$\frac{F^{2}t^{2}}{3m}$
D.
$\frac{Ft}{2m}$
BHU 2002 Q247 Errorless Conservation of Energy and Momentum MCQ
Two bodies moving towards each other collide and move away in opposite directions. There is some rise in temperature of bodies because a part of the kinetic energy is converted into
A.
Heat energy
B.
Electrical energy
C.
Nuclear energy
D.
Mechanical energy
Pb. PET 2002 Q248 Errorless Conservation of Energy and Momentum MCQ
If a man increase his speed by 2 m/s, his K.E. is doubled, the original speed of the man is
A.
$(1 + 2\sqrt{2})$ m/s
B.
4 m/s
C.
$(2 + 2\sqrt{2})$ m/s
D.
$(2 + \sqrt{2})$ m/s
Kerala PMT 2002 Q249 Errorless Conservation of Energy and Momentum MCQ
A machine which is 75 percent efficient, uses 12 joules of energy in lifting up a $1\mathrm{kg}$ mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall is (in $ms^{-1}$ )
A.
$\sqrt{24}$
B.
$\sqrt{32}$
C.
$\sqrt{18}$
D.
$\sqrt{9}$
AIEEE 2002; DCE 2002; BCECE 2006; WB-JEE 2012 Q250 Errorless Conservation of Energy and Momentum MCQ
If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest
A.
1 cm
B.
2 cm
C.
3 cm
D.
4 cm