Use the Grade 7 Physics Reference Sheet and your knowledge of science to answer the question below. Show your work and use correct units of measurement. 1. How much force would be required to accelerate a 1,000-kg car to 15 m/s 2 if the force of friction between the tires and the road was 350 N? Show your work and use appropriate units of measurement. Explain using a free body diagram.
To find the force required to accelerate the car, we can use Newton's second law of motion, which states that the force on an object is equal to its mass multiplied by its acceleration:
F = m * a
where F is the force, m is the mass, and a is the acceleration.
Given:
Mass of car (m) = 1,000 kg
Acceleration (a) = 15 m/s^2
Force of friction (Ffriction) = 350 N
To find the force required to accelerate the car, we need to account for the force of friction opposing the motion. The force of friction acts in the opposite direction of the motion and hence reduces the net force.
Net force (Fnet) = F - Ffriction
Since the car is being accelerated and not decelerated, the net force is in the direction of the applied force.
Fnet = F (Since Fnet = F because no other opposing force is mentioned)
Using Newton's second law, we can equate the net force and find the force.
F = m * a
F = (1,000 kg) * (15 m/s^2)
F = 15,000 N
Therefore, the force required to accelerate the 1,000-kg car to 15 m/s^2 is 15,000 N.
Explanation using a free body diagram:
A free body diagram is a visual representation that shows all the forces acting on an object. In this case, we have two forces acting on the car: the force required to accelerate the car (F) and the force of friction (Ffriction).
The force required to accelerate the car (F) acts in the direction of motion, and the force of friction (Ffriction) acts in the opposite direction.
To find the net force, we subtract the force of friction from the force required to accelerate the car:
Net force (Fnet) = F - Ffriction
Since the car is being accelerated, the net force is in the direction of the applied force. Therefore, the net force is equal to the force required to accelerate the car (F).
By equating the net force and using Newton's second law, we can find the force required to accelerate the car.
Note: The free body diagram would include other forces such as gravity, but in this specific question, only the force of friction is mentioned.