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Work, Energy and Power · Question 52

AIPMT 2005MCQEasy📈 Topic in 12% papers+4−1
1

A force F acting [figure] 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

  1. 18.0 J
  2. 13.5 J
  3. 9.0 J
  4. 4.5 J

Answer

(2) 13.5 J

Solution

Work done = area under the F–x graph from x = 0 to x = 6 m.

Rectangle (0 to 3 m): W1 = 3 3 = 9 J

Triangle (3 m to 6 m): W2 = 12 3 3 = 4.5 J

W = 9 + 4.5 = 13.5 J

Answer: (2)

AIPMT 2005

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2

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 :

  1. E1 < E2
  2. E1E2 = m1m2
  3. E1 > E2
  4. E1 = E2
AIPMT 2004
3

A ball of mass 2 kg and another of mass 4 kg 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

  1. 2 : 1
  2. 1 : 4
  3. 1 : 2
  4. 1 : 2
AIPMT 2004
4

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 [figure]

  1. 0.15 m
  2. 0.12 m
  3. 1.5 m
  4. 0.5 m
AIPMT 2004
5

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

  1. U/5
  2. 5U
  3. 10U
  4. 25U
AIPMT 2003
6

A stone is tied to a string of length l and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is

  1. 2(u2 - gl)
  2. u2 - gl
  3. u - u2 - 2gl
  4. 2gl
AIPMT 2003
7

If kinetic energy of a body is increased by 300% then percentage change in momentum will be :

  1. 100%
  2. 150%
  3. 265%
  4. 73.2%
AIPMT 2002
8

250 N force is required to raise 75 kg mass from a pulley. If the rope is pulled 12 m, then the load is lifted 3 m. The efficiency of the pulley system will be

  1. 25%
  2. 33.3%
  3. 75%
  4. 90%
AIPMT 2001
9

A child is sitting on a swing. Its minimum and maximum heights from the ground are 0.75 m and 2 m respectively, its maximum speed will be

  1. 10 m/s
  2. 5 m/s
  3. 8 m/s
  4. 15 m/s
AIPMT 2001
10

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

  1. 2EA
  2. EA4
  3. EA2
  4. 4EA
AIPMT 2001
11

A man is slipping on a frictionless inclined plane and a bag falls down from the same height. Then the velocity of both is related as

  1. vB > vm
  2. vB < vm
  3. vB = vm
  4. vB and vm can't be related
AIPMT 2000

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