Question

the energy of a compressed spring is given by E =1/2 mvsquare+1/2kxsquare dimension of k will be

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Answer 1

Answer:

k = MT^-2

.................

Answer 2

Answer:

Dimension of k will be $MT^(-2)$

Explanation:

The equation is , E = 1/2 mv^2 + 1/2kx^2

Now from the rule of dimension, in any equation the dimension of both side will be same.

• Dimension of energy (E) is $ML^2T^(-2)$
• Dimension of  1/2 mv^2  is $ML^2T^(-2)$
• So the dimension of 1/2kx^2 will be $ML^2T^(-2)$

Now the dimension of $x^{2}$ is $L^{2}$.

• Dimension of k must be $MT^(-2)$