2007
NEET
MCQ
AIPMT 2007
A vertical spring with force constant k is fixed on a table. A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance d. The net work done in the process is
A.
mg(h + d) $-$ ${1 \over 2}$kd2
B.
mg(h $-$ d) $-$ ${1 \over 2}$kd2
C.
mg(h $-$ d) + ${1 \over 2}$kd2
D.
mg(h + d) + ${1 \over 2}$kd2
2006
NEET
MCQ
AIPMT 2006
A body of mass 3 kg is under a constant force which causes a displacement s in metres in it, given by the relation s = ${1 \over 3}$t2, where t is in seconds. Work done by the force in 2 seconds is
A.
${{19} \over 5}J$
B.
${5 \over {19}}J$
C.
${3 \over {8}}J$
D.
${8 \over {3}}J$
2006
NEET
MCQ
AIPMT 2006
The potential energy of a long spring when stretched by 2 cm is U. If the spring is stretched by 8 cm the potential energy stored in it is
A.
U/4
B.
4U
C.
8U
D.
16U
2006
NEET
MCQ
AIPMT 2006
300 J of work is done in sliding a 2 kg block up an inclined plane of height 10 m. Work done against friction is (Take g = 10 m/s2)
A.
1000 J
B.
200 J
C.
100 J
D.
zero
2005
NEET
MCQ
AIPMT 2005
A force F acting
on an object varies with distance x as shown here. The force is in N and x in m. The work done by the force in moving the object from x = 0 to x = 6 m is
on an object varies with distance x as shown here. The force is in N and x in m. The work done by the force in moving the object from x = 0 to x = 6 m is
A.
18.0 J
B.
13.5 J
C.
9.0 J
D.
4.5 J
2004
NEET
MCQ
AIPMT 2004
A mass of 0.5 kg moving with a speed of 1.5 m/s on horizontal smooth surface, collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be
A.
0.15 m
B.
0.12 m
C.
1.5 m
D.
0.5 m
2004
NEET
MCQ
AIPMT 2004
A particle of mass m1 is moving with a velocity v1 and another particle of mass m2 is moving with a velocity v2. Both of them have the same momentum but their different kinetic energies are E1 and E2 respectively. If m1 > m2 then :
A.
E1 < E2
B.
${{{E_1}} \over {{E_2}}} = {{{m_1}} \over {{m_2}}}$
C.
E1 > E2
D.
E1 = E2
2004
NEET
MCQ
AIPMT 2004
A ball of mass 2 kg and another of mass 4 kg are dropped together from a 60 feet ball 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 $
2003
NEET
MCQ
AIPMT 2003
A particle moves along a circle of radius $\left( {{{20} \over \pi }} \right)$ m with constants tangential acceleration. If the velocity of vthe particle is 80 m/s at the end of the second revoluation after motion has begun, the tangential acceleration is
A.
40 m/s2
B.
640$\pi $ m/s2
C.
160$\pi $ m/s2
D.
40$\pi $ m/s2
2003
NEET
MCQ
AIPMT 2003
When a long spring is stretched by 2 cm, its potential energy is U. If the spring is stretched by 10 cm, the potential energy stored in it will be
A.
U/5
B.
5U
C.
10U
D.
25U
2001
NEET
MCQ
AIPMT 2001
A particle is projected making an angle of 45o with horizontal having kinetic energy K. The kinetic energy at highest point will be
A.
${K \over {\sqrt 2 }}$
B.
${K \over 2}$
C.
2K
D.
K
2001
NEET
MCQ
AIPMT 2001
Two springs A and B having spring constant KA and KB (KA = 2KB) are stretched by applying force of equal magnitude. If energy stored in spring A is EA then energy stored in B will be
A.
2EA
B.
EA/4
C.
EA/2
D.
4EA
2001
NEET
MCQ
AIPMT 2001
A child is sitting on a swing. Its minimum and maximum heights from the ground 0.75 m and 2 m respectively, its maximum speed will be
A.
10 m/s
B.
5 m/s
C.
8 m/s
D.
15 m/s
2000
NEET
MCQ
AIPMT 2000
If $\overrightarrow F = \left( {60\widehat i + 15\widehat j - 3\widehat k} \right)$ N and $\overrightarrow v = \left( {2\widehat i - 4\widehat j + 5\widehat k} \right)$ m/s, then instantaneous power is
A.
195 watt
B.
45 watt
C.
75 watt
D.
100 watt.
2000
NEET
MCQ
AIPMT 2000
A mass of 1 kg is thrown up with a velocity of 100 m/s. After 5 seconds, it explodes into two parts. One part of mass 400 g comes down with a velocity 25 m/s. The velocity of other part is (Take g = 10 ms$-$2)
A.
40 m/s
B.
50 m/s
C.
100 m/s
D.
60 m/s