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mamaluj [8]
2 years ago
15

How long will it take a 50w motor to lift a 20 kg object 5 m?

Physics
2 answers:
weqwewe [10]2 years ago
5 0

Answer:

50+20=70

70÷5=14

Explanation:

50×20=1000

1000÷5=200

alexandr402 [8]2 years ago
4 0

Answer:

Approximately 20\; {\rm s}, assuming no energy loss and that g = 10\; {\rm N \cdot kg^{-1}}.

Explanation:

If the gravitational field strength is constantly g, lifting an object of mass m  by a height of \Delta h would increase the gravitational potential energy (\text{GPE}) of that object by m\, g\, \Delta h.

In this question, m = 20\; {\rm kg} and \Delta h = 5\; {\rm m}. Assume that g = 10\; {\rm N \cdot kg^{-1}}. Hence, the \text{GPE} that this object would eventual gain would be:

\begin{aligned}m\, g\, \Delta h &= 20\; {\rm kg} \times 10\; {\rm N \cdot kg^{-1}} \times 5\; {\rm m} \\ &= 1000\; {\rm N \cdot m} \\ &= 1000\; {\rm J}\end{aligned}.

Thus, this motor would need to do (at least) 1000\; {\rm J} of work to lift this object up by 5\; {\rm m}. The power rating of this motor, P = 50\; {\rm W} = 50\; {\rm J \cdot s^{-1}}, means that (assuming no energy loss) this motor could do 50\; {\rm J} of work every second.

The time it would take for this motor to do 1000\; {\rm J} of work under these assumptions would be:

\begin{aligned}t &= \frac{\text{work}}{\text{power}} \\ &= \frac{1000\; {\rm J}}{50\; {\rm J \cdot s^{-1}}} \\ &= 20\; {\rm s}\end{aligned}.

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