Answer:
power required is 90.131 kW
Explanation:
Given data
mass of car (m) = 1150 kg
starting velocity (v1) = 0 m/s
final velocity (v2) = 30 m/s
slope angle = 30 degrees
slope distance = 100 m
to find out
power required
solution
we know the power = work / time
here time is given we have calculate the work
work is for car climb 100 m distance is total sum of potential energy + kinetic energy
and we know car climb 100m at 30 degree slope so vertical distance (h) will be h = 100 sin (30) = 50 m
so now potential energy = mass × gravity × height
potential energy = 1150 × 9.81 × 50 = 564075 J
kinetic energy = 1/2 ×mass × velocity²
kinetic energy = 1/2 ×1150 × ( v2 - v1 )²
kinetic energy = 1/2 ×1150 × ( 30 - 0 )² = 517500 J
now put all value in power formula
power = work / time
power = potential energy + kinetic energy / 12
power = 564075 + 517500 / 12 = 90131.25 W
power = 90.131 kW
