(C) Given mass, $m = 100 \,g = 0.1 \,kg$. Velocity vector, $\vec{v} = (\hat{i} + 2\hat{j} - 3\hat{k}) \,m/s$. The magnitude of the velocity squared is

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(C) Given mass, $m = 100 \,g = 0.1 \,kg$. Velocity vector, $\vec{v} = (\hat{i} + 2\hat{j} - 3\hat{k}) \,m/s$. The magnitude of the velocity squared is given by $v^2 = |\vec{v}|^2 = (1)^2 + (2)^2 + (-3)^2 = 1 + 4 + 9 = 14 \,m^2/s^2$. Kinetic energy $K$ is calculated using the formula $K = \frac{1}{2}mv^2$. Substituting the values, $K = \frac{1}{2} \times 0.1 \,kg \times 14 \,m^2/s^2 = 0.05 \times 14 = 0.7 \,J$.

Class 11 Physics Work, Energy, Power and Collision Kinetic Energy

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$A$ toy car of mass $100 \,g$ is moving with a velocity of $(\hat{i}+2 \hat{j}-3 \hat{k}) \,m/s$. The kinetic energy of the car is: (in $\,J$)

AP EAMCET 2023 All AP EAMCET

A
$7$
B
$70$
C
$0.7$
D
$0.07$

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Work, Energy, Power and Collision

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Kinetic Energy

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$A$ toy car of mass $100 \,g$ is moving with a velocity of $(\hat{i}+2 \hat{j}-3 \hat{k}) \,m/s$. The kinetic energy of the car is: (in $\,J$)

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