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Question: A body under the action of a force \(\overrightarrow{F} = 6\widehat{i} - 8\widehat{j}N\)acquires an ...

A body under the action of a force F→=6i^−8j^N\overrightarrow{F} = 6\widehat{i} - 8\widehat{j}Nacquires an acceleration of 5ms−25ms^{- 2}. The mass of the body is

A

2 kg

B

5 kg

C

4 kg

D

6 kg

Answer

2 kg

Explanation

Solution

Given F→=6i∧−8j∧N,a=5ms−2\overset{\rightarrow}{F} = 6\overset{\land}{i} - 8\overset{\land}{j}N,a = 5ms^{- 2}

∴F=(6)2+(−8)2=10N\therefore F = \sqrt{(6)^{2} + ( - 8)^{2}} = 10N

Mass of body is

m=Fa=10N5ms−2=2kgm = \frac{F}{a} = \frac{10N}{5ms^{- 2}} = 2kg