. How much force would be required to accelerate a 1,000-kg car to 15 m/s² if the force of friction
between the tires and the road was 350 N? Show your work and use appropriate units of
measurement.
To find the force required to accelerate the car, we need to take into account both the force of friction and the mass of the car.
The force of friction opposes the motion of the car and needs to be overcome in order to accelerate it. According to the question, the force of friction is 350 N.
The formula for force is given by Newton's second law of motion:
Force = mass * acceleration
Given:
Mass of the car = 1000 kg
Acceleration = 15 m/s²
Substituting the given values into the formula, we get:
Force = 1000 kg * 15 m/s²
Force = 15000 kg⋅m/s²
Since the unit for force is Newton (N), we need to convert kg⋅m/s² to N:
1 N = 1 kg⋅m/s²
Therefore, the force required to accelerate the car to 15 m/s² is 15000 N.