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Work, Energy and Power · Question 60

AIPMT 2001MCQEasy📈 Topic in 12% papers+4−1
1

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

Answer

(2) 5 m/s

Solution

Fall in height from the highest to the lowest point: h = 2 - 0.75 = 1.25 m

Speed is maximum at the lowest point. By conservation of mechanical energy:

12mv2 = mgh

v = 2gh = 2 10 1.25 = 5 m/s

Answer: (2)

AIPMT 2001

Keep practising — Work, Energy and Power

2

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
3

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
4

If F = (60 i + 15 j - 3 k) N and v = (2 i - 4 j + 5 k) m/s, then instantaneous power is

  1. 195 watt
  2. 45 watt
  3. 75 watt
  4. 100 watt
AIPMT 2000
5

As shown in the figure at point O a mass is performing vertical circular motion. The average velocity of the particle is increased, then at which point will the string break [figure]

  1. A
  2. B
  3. C
  4. D
AIPMT 2000

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