A 2-kg box is pushed from rest to a speed of 29.7 m/s in 21 seconds. What is the power require to accelerate the box.

594 watts

Explanation:

The information given is;

Mass of the box is 2 kg

Speed of the box is 29.7 m/s

Time is 21 seconds

We are required to determine the power;

Power is given by dividing work done by time

Power = Work done : time

But; work done = Force * Distance

In this case;

Force = 2 kg * 10 N/kg

= 20 N

Distance = speed * time

= 29.7 m/s * 21

= 623.7 m

Therefore;

Power = (20 N * 623.7 m) : 21

= 594 Watts

Therefore, the power that is required to accelerate the box is 594 watts

P = 83.16 Watt

Explanation:

Given dа ta:

Mass of box = 2 Kg

velocity of box = 29.7 m/s

Time = 21 sec

Power = ?

Solution:

Formula:

Power = work done/time

Now we will calculate the work done.

W = force * distance ... (1)

d = speed / time

d = 29.7 m/s * 21 s

d = 623.7 m

Force:

acceleration = 29.7 m/s / 21 s

a = 1.4 m/s²

Force = m*a

Force = 2 kg*1.4 m/s²

Force = 2.8 N

Now we will put the values in equation 1.

W = F * d

W = 2.8 N * 623.7 m

W = 1746.36 Nm

Now for power:

P = W / time

P = 1746 Nm / 21 s

P = 83.16 Watt