How much momentum will a dum.b bell of mass 10 kg transfer to the floor if it falls from a height of 80 cm? Take its downward acceleration to be 10 m/s^2.
Answer = 40 kgm/s
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Solution :
Let us first calculate the final Velocity of falling dùmb-bell (just before touching the floor)
Here,
• Initial Velocity (u) = 0
• Final Velocity (v) = ?
• Acceleration (a) = 10 m/s²
• Distance (s) = 80 cm
(or Height) = m
→ Height = 0.8 m
From 3rd equation of motion :
★ v² = u² + 2as
→ v² = (0)² + 2 × 10 × 0.8
→ v² = 0 + 16
→ v² = 16
→ v = √16
→ v = 4 m/s
Now,
★ Momentum = Mass × Velocity
→ Momentum = 10 kg × 4 m/s
→ Momentum = 40 kg m/s
Dúmb-bell will transfer an equal amount of momentum is 40 kg m/s to the floor.
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