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An object of mass 16 kg is moving with an acceleration of 3 m/s2. Calculate the applied force. If the same force is applied to an object of mass 24 kg, how much will be the acceleration?

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Question

An object of mass 16 kg is moving with an acceleration of 3 m/s2. Calculate the applied force. If the same force is applied to an object of mass 24 kg, how much will be the acceleration?

Numerical
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Solution

Given: m1 = 16 kg, a1 = 3 m/s2, m2 = 24 kg

Find: a2 = ?, F = ?

Applied force, F = m1a1 = 16 kg × 3 m/s2 = 48 N

∴ F = m2a2
∴ Acceleration, `"a"_2 = "F"/"m"_2`

`= (48 "N")/(24 "kg")`

= 2 m/s2

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Chapter 1: Laws of Motion - Exercises [Page 17]

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Balbharati Science and Technology [English] 9 Standard Maharashtra State Board
Chapter 1 Laws of Motion
Exercises | Q 7. b) | Page 17

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