Exam-style question
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The equation for power (P) is given as P = F × v, where F is force in newtons and v is velocity in m/s. If a force of 10 N is applied at a velocity of 3 m/s, check if the units on both sides of the equation are homogeneous.
Model answer
What a good answer should say
- The left side has units of W (watts), and the right side has units of N·m/s.
- Since 1 W = 1 N·m/s, the equation is homogeneous.
Explanation
Why this works
This question assesses the ability to verify the consistency of units in a power equation. It reinforces the concept that both sides of an equation must have the same dimensional units for it to be valid.
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