A force of 120 N produces an acceleration of 2 m/s2 on a mass m1 and 10 m/s2 on mass m2. What would be the acceleration if both masses are tied together and same force is applied on them? give me the calculation pls ill mark u as the brainliest
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Answer:
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1.1 m/sec^2
Explanation:
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Given:
Force, F = 120 N
Acceleration in first mass, a1 = 2 m/s²
Acceleration in second mass, a2 = 10 m/s²
To Find:
The acceleration produced if both masses are tied together and the same force is applied on them.
Calculation:
- Force exerted in the first case:
F = m1a1
⇒ 120 = m1 × 2
⇒ m1 = 60 kg
- Force exerted in the second case:
F = m2a2
⇒ 120 = m2 × 10
⇒ m2 = 12 kg
- Combined mass, M = m1 + m2
⇒ M = 60 + 12 = 72 kg
- When the same force is applied, we have:
F = Ma
⇒ 120 = 72 × a
⇒ a = 1.67 m/s²
- So, the acceleration when both the masses are tied is 1.67 m/s².
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