Acceleration is related to distance and time by the following expression: a = 2xtp

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mastering-physics

#1

Acceleration is related to distance and time by the following expression: a = 2xtp. Find the power p that makes this equation dimensionally consistent.

Answer:

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the dimension of distance x = [L]
the dimension of time t = [T]
Substitute these values in equation (1)
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Comparing the dimensions on both sides,
p = – 2
Equation (1) becomes
image