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BITSAT 2024Paper 1
Exam
BITSAT
Year
2024
Paper
Paper 1
Subject
Physics
Chapter
Work, Power and Energy

BITSAT 2024 · Paper 1 · Physics · Work, Power and Energy

A spherical ball of mass 20 kg is stationary at the top of a hill...

A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then climbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball isA spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to

Options

  1. A20m/s20 \mathrm{ m} / \mathrm{s}
  2. B40m/s40 \mathrm{ m} / \mathrm{s}
  3. C1030m/s10 \sqrt{30} \mathrm{ m} / \mathrm{s}
  4. D10m/s10 \mathrm{ m} / \mathrm{s}

Correct answer

B. 40m/s40 \mathrm{ m} / \mathrm{s}

Step-by-step solution

A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to Using conservation of energy, \mathrm{m}(10 \times 100)=\mathrm{m} \left(\frac{1}{2} \mathrm{v}^2+10 \times20\right) or 12v2=800or\frac{1}{2} v^2=800 orv=\sqrt{1600}=40 m/s\mathrm{ m}/ \mathrm{s}
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