First slide

Power

Question

Sand is falling on a conveyor belt at the rate of $5 k g s^{- 1}$ . The extra power required to move the belt with a velocity of $6 m s^{- 1}$ is,

Moderate

A

30W
B

180W
C

150W
D

1.2W

Solution

$P o w e r = F o r c e . v e l o c i t y \Rightarrow P = \frac{d p}{d t} . v h e r e p = m o m e n t u m = m a s s (v e l o c i t y) \Rightarrow P = v \frac{d m}{d t} . v s u b s t i t u t e g i v e n v a l u e s \Rightarrow P = 6 (5) . (6) \Rightarrow P = 180 w a t t$

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