Answer:
24,267.6 watts
Explanation:
from the question we are given the following:
mass (m) = 810 kg
final velocity (v) = 7 m/s
initial velocity (u) = 0 m/s
time (t) = 3.5 s
final height (h₁) = 8.2 m
initial height (h₀) = 0 m
acceleration due to gravity (g) = 9.8 m/s^{2}
find the power
power = \frac{work done}[time}
and
work done = change in kinetic energy (K.E) + change in potential energy (P.E)
work done = (0.5 mv^{2} - 0.5 mu^{2} ) + ( mgh₁ - mgh₀)
since u and h₀ are zero the work done now becomes
work done = (0.5 mv^{2}) + ( mgh₁ )
work done = (0.5 x 810 x 7^{2}) + ( 810 x 9.8 x 8.2)
work done = 84, 936.6 joules
recall that power = \frac{work done}[time}
power = \frac{84,936.6}[3.5}
power = 24,267.6 watts
