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Q.

The gravitational field at some point in space is ${\overset{⇀}{E}}_{g} = 3 \hat{i} + 4 \hat{j} N / kg$ . The force exerted on a 2kg mass placed at that point is

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a

$5 N, 37^{0} with x - aixs$

b

$10 N, 37^{0} with x - aixs$

c

$10 N, 53^{0} with x - axis$

d

$5 N, 53^{0} with x - aixs$

answer is C.

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Detailed Solution

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$\vec{E} = 3 \hat{i} + 4 \hat{j}$

$\vec{F} = m \vec{E} = 6 \hat{i} + 8 \hat{j}$

$\Rightarrow F = \sqrt{36 + 64} = 10 N$

$Tanα = \frac{8}{6} = \frac{4}{3} \Rightarrow α = 53^{0} with x - axis$

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The gravitational field at some point in space is E⇀g=3i^+4j^N/kg. The force exerted on a 2kg mass placed at that point is