Question

Which of the following quantities has the same dimensions as work?
momentum
impulse
moment of a force
g = 9:8m=s2
pressure

Answer 1

Answer on Question #51062 – Physics – Mechanics, Kinematics, Dynamics

Question: which of the following quantities has the same dimensions as work?

1. Momentum

2. Impulse

3. Moment of a force

4. $G = 9.81 \, \text{m/s}^2$

5. Pressure

Solution: first of all we have to find the dimensions of work. The SI unit of work is the newton-meter or joule. Thus,

$$[ Work] = N \cdot m$$

Moment of a force is the measure of the capacity of the force to produce twisting about an axis. Moment of a force is equal to the product of the force to the moment arm.

$$M = F \cdot d$$

Hence the dimension of moment of a force is

$$[ M ] = [ F ] \cdot [ d ] = N \cdot m$$

So the dimension of work is equal to the dimension of moment of a force.

Answer:

3. Moment of a force

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