Final answer:
The power required to overcome wind resistance when the automobile is moving at a velocity of 50 km/hr is P≈62.83kW
Step-by-step explanation:
The power (P) required to overcome wind resistance can be calculated using the formula:
P = F × v
where F is the force of wind resistance and v is the velocity of the automobile.
Given that the wind resistance (F) is 2 kN and the velocity (v) is changing from 40 km/hr to 50 km/hr, we can convert the velocities to meters per second (m/s) by multiplying by 1000/3600 (Since 1km/hr= 1000/3600 m/s).
At 40 km/hr:
v1= 40×1000/3600 = 11.11m/s
At 50 km/hr:
v2 = 50×1000/3600 = 13.89m/s
Now, substitute these values into the power formula:
P = F × (v2-v1)
P = (2000N)⋅(13.89m/s−11.11m/s)
P≈62.83kW
The power required to overcome wind resistance when the automobile is moving at a velocity of 50 km/hr is approximately 62.83kW. This calculation is based on the relationship between power, force, and velocity.