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A force of 5N is applied on a body of mass M to produce an acceleration of 10 ms–2. The same force when applied on another body of mass ‘m’ produces acceleration of 20 ms–2. Find the acceleration produced by the force when both the masses are combined together
  • a)
    6.6 ms–2
  • b)
    2.66 ms–2
  • c)
    3.66 ms–2
  • d)
    4 ms–2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A force of 5N is applied on a body of mass M to produce an accelerat...
Given:
- Force applied on body of mass M: 5N
- Acceleration produced by mass M: 10 ms^2
- Acceleration produced by mass 'm': 20 ms^2

Calculations:
1. Using Newton's second law of motion (F = ma), we can find the mass 'M':
F = M * a
5 = M * 10
M = 0.5 kg
2. Using the same formula, we can find the mass 'm':
5 = m * 20
m = 0.25 kg
3. Total mass when both masses are combined together:
Total mass = M + m
Total mass = 0.5 + 0.25
Total mass = 0.75 kg
4. Acceleration produced by the force when both masses are combined:
F = (M + m) * a_combined
5 = 0.75 * a_combined
a_combined = 6.66 ms^2
Therefore, the acceleration produced by the force when both masses are combined together is 6.66 ms^2, which is closest to option 'A' (6.6 ms^2).
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Community Answer
A force of 5N is applied on a body of mass M to produce an accelerat...
5 = M × 10 ⇒ M = 0.5 kg (F = ma)
5 = m × 20 ⇒ m = 0.25 kg
5 = (M + m) × a ⇒ 5 = (0.5 + 0.25) × a
⇒ a = 5/0.75 = 500/75 = 6.6 ms-2
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A force of 5N is applied on a body of mass M to produce an acceleration of 10 ms–2. The same force when applied on another body of mass ‘m’ produces acceleration of 20 ms–2. Find the acceleration produced by the force when both the masses are combined togethera)6.6 ms–2b)2.66 ms–2c)3.66 ms–2d)4 ms–2Correct answer is option 'A'. Can you explain this answer?
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