A force of 5 N gives a mass m1, an acceleration of 10 m s-2 and a
mass m2, an acceleration of 20 m s-2. What acceleration would it give if both the
masses were tied together?
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Answer:
6.67 m/s²
Explanation:
F1 = 5N
a1 = 10m/s²
m1 = ?
F1 = a1 × m1
5N = 10m/s² × m1
5 kg×m/s² ÷ 10 m/s² = m1. (Newton is defined as kg×m/s²)
0.5 kg or 500 grams
F2 = 5N
a2 = 20m/s²
m2 = ?
F2 = a2 × m2
5N = 20m/s² × m2
5N ÷ 20m/s² = m2
0.25 kg or 250 grams
Now total mass of both the bodies (because they are tied together) = m1 + m2
= 500 g + 250 g
= 750 g or 0.75 kg
Now to find acceleration, we apply the formula F = ma
F = ma
5N = 0.75 kg × a
5N ÷ 0.75 kg = a
6.67 m/s² = a
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Explanation:
The answer is a
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