A body of mass 4 kg experiences two forces and . The acceleration acting on the body is

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Q.
A body of mass 4 kg experiences two forces ${\vec{F}}_{1} = 5 \hat{i} + 8 \hat{j} + 7 \hat{k}$ and ${\vec{F}}_{2} = 3 \hat{i} - 4 \hat{j} - 3 \hat{k}$ . The acceleration acting on the body is [2024]

Solution

Q.
A body of mass 4 kg experiences two forces ${\vec{F}}_{1} = 5 \hat{i} + 8 \hat{j} + 7 \hat{k}$ and ${\vec{F}}_{2} = 3 \hat{i} - 4 \hat{j} - 3 \hat{k}$ . The acceleration acting on the body is [2024]

1 $- 2 \hat{i} - \hat{j} - \hat{k}$

2 $4 \hat{i} + 2 \hat{j} + 2 \hat{k}$

3 $2 \hat{i} + \hat{j} + \hat{k}$

4 $2 \hat{i} + 3 \hat{j} + 3 \hat{k}$

Ans.
(3)

$F_{n e t} = {\vec{F}}_{1} + {\vec{F}}_{2} = 8 \hat{i} + 4 \hat{j} + 4 \hat{k}$

$\frac{F_{n e t}}{m} = 2 \hat{i} + \hat{j} + \hat{k}$

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Solution

Q. A body of mass 4 kg experiences two forces F→1=5i^+8j^+7k^ and F→2=3i^-4j^-3k^. The acceleration acting on the body is [2024]

1 -2i^-j^-k^

2 4i^+2j^+2k^

3 2i^+j^+k^

4 2i^+3j^+3k^

Ans. (3) Fnet=F→1+F→2=8i^+4j^+4k^ Fnetm=2i^+j^+k^

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Q.
A body of mass 4 kg experiences two forces ${\vec{F}}_{1} = 5 \hat{i} + 8 \hat{j} + 7 \hat{k}$ and ${\vec{F}}_{2} = 3 \hat{i} - 4 \hat{j} - 3 \hat{k}$ . The acceleration acting on the body is [2024]

1 $- 2 \hat{i} - \hat{j} - \hat{k}$

2 $4 \hat{i} + 2 \hat{j} + 2 \hat{k}$

3 $2 \hat{i} + \hat{j} + \hat{k}$

4 $2 \hat{i} + 3 \hat{j} + 3 \hat{k}$

Ans.
(3)

$F_{n e t} = {\vec{F}}_{1} + {\vec{F}}_{2} = 8 \hat{i} + 4 \hat{j} + 4 \hat{k}$

$\frac{F_{n e t}}{m} = 2 \hat{i} + \hat{j} + \hat{k}$