Answer:
1017.58Watts
Step-by-step explanation:
A 730-N Marine in basic training climbs a 11.5-m vertical rope at a constant speed in 8.25 s. What is his power output
From the formula to calculate power; Power=workdone/time which can be expressed below;
P = W/t
But Workdone= Force× distance
Then power= (Force× distance)/time
Which can be expressed below;
Power = F×d/t
P = power output= ?
Force= 730-N
displacement= 11.5-m
time=8.25 s.
Let us calculate our workdone first as
Workdone = (730 N)(11.5 m)= 8395Nm
Since we know our workdone now, we calculate the Power as;
Power=workdone/time
Power= 8395Nm/8.25 s.
= 1017.58Nm/s
= 1017.58Joules/seconds
1017.58Watts
Therefore, his power output is
1017.58Watts.
NOTE:We can also convert to HORSE POWER , 0.00134Hp= 1watt
Then 1017.58Watts= ( 0.00134Hp× 1017.58Watt)
= 1.36horse power.