Question

How much power is required to lift a 2.0 kg mass at a speed of 2.0 m/s? a. 2.0 W c. 9.8 W b. 4.0 W d. 39 W

Answer 1

d: 39W

Step-by-step explanation:

Power(P) = w/t = F*d/t = F*v = m*a*v= 2*9.8*2 = 39.2W

Answer 2

The power required to lift a 2 kg mass at a speed of 2 m/s is 39 W.

Answer: Option D

Explanation:

Power required to lift a mass of about 2 kg will be equal to work done attained by the object per unit time. And, the mass (m) of the object is given as 2 kg and speed (v) as 2 m/s, then

`\text { Power }=\frac{\text {work done }(w)}{\text { time }(t)}`

And, we know the following formula,

`w=\text { Force } * \text { distance}`

`\text {Force}=m * \text {acceleration}`

`\text {velocity}=\frac{\text {distance}}{\text {time}}`

By applying this into the power equation, we get,

`\text { Power }=m * \text { acceleration } * \text { velocity }=2 * 9.8 * 2=39.2 \mathrm{W}`

Hence, the power required to lift a mass, the rounded value would be 39 W.