Answer:
Power = 14.7 W
Explanation:
Given:
Mass of the object to be raised is, [tex]m=2\ kg[/tex]
Height to be raised is, [tex]h=3\ m[/tex]
Time taken during the work is, [tex]t=4\ s[/tex]
As the object is raised vertically, the acceleration acting on it is due to gravity and is equal to 9.8 m/s².
Now, work done in moving an object of mass 'm' to a height 'h' is given as:
[tex]Work=mgh[/tex]
Now, power is given as the rate of doing work which is given as:
[tex]Power=\frac{Work}{TIme}\\\\Power=\frac{mgh}{t}\\[/tex]
Now, plug in all the values and solve for power. This gives,
[tex]Power=\frac{2\times9.8\times3}{4}\\\\Power=\frac{58.8}{4}\\\\Power=14.7\ W[/tex]
Therefore, the power required to raise the object to a height of 3 meters is 14.7 watts.
