A 1300-kg car is to accelerate from rest to a speed of 30.0 m/s in a time of 12.0s as it climbs a 15.0 hill Assuming uniform acceleration, what minimum horsepower is needed to accelerate the car in this way?





The power required to accelerate a car up a 15.0-m hill can be determined by calculating the force of its weight, the acceleration needed, and the time given. To calculate this, we must first determine the acceleration of the car by using kinematics equations:

Acceleration (a) = Change in velocity / Time
= 30 m/s / 12 s
= 2.5 m/s2

Next, we can use Newton’s Second Law to determine the force of gravity acting on the car up this hill:
Force (F) = Mass * Acceleration
= 1300 kg * 2.5 m/s2
= 3250 N

A 1300-kg car is to accelerate from rest to a speed of 30.0 m/s in a time of 12.0s as it climbs a 15.0 hill Assuming uniform acceleration, what minimum horsepower is needed to accelerate the car in this way?

Finally, we can calculate horsepower using the following equation: Power (P) = Force * Velocity / 745.7
= 3250 N * 30 m/s / 745.7
= 104 hp

Therefore, at least 104 horsepower is needed to accelerate a 1300-kg car from rest to a speed of 30 m/s within a period of 12 seconds while climbing a 15-meter hill with uniform acceleration.




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