rmalski said:Homework Statement
A 1490 kg car is is traveling at a speed of 22.2 m/s when the driver let's the car coast on a level road. The friction on the car slowing it down is 288 N. How far will the car coast?
Homework Equations
f=maThe Attempt at a Solution
i can find the force but i cannot find the distance, i found that the force is 32790N but i am stuck after that
well first i found the force by multiplying m and a, then i subtracted the friction force which is 288n. i got the force as 32790 and this is where i got stuck. i thought the acceleration is 22.2m/s^2?berkeman said:Welcome to the PF.
Please show in detail your calculations so far. How did you get that number? You are given a force F and a mass m, use the equation you wrote to calculate the acceleration (deceleration in this case). How can you use the deceleration to figure out the time until the car stops?
rmalski said:well first i found the force by multiplying m and a, then i subtracted the friction force which is 288n. i got the force as 32790 and this is where i got stuck. i thought the acceleration is 22.2m/s^2?
Newton's first law, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an external force. In the case of the coasting car, the car will continue to move forward at a constant speed unless an external force, such as friction or air resistance, slows it down.
The force that causes the car to stop is primarily friction. As the car's wheels turn, they create friction with the road surface, which acts in the opposite direction of the car's motion and eventually brings it to a stop. Additionally, air resistance also plays a small role in slowing down the car.
Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of the coasting car, as the car slows down, the net force acting on it decreases, causing the acceleration to also decrease until it eventually reaches zero and the car stops.
No, according to Newton's first law, an object in motion will remain in motion unless acted upon by an external force. Therefore, in the absence of any external forces, the car would continue to coast at a constant speed.
The type and condition of the road's surface can affect the car's coasting distance. A rougher surface will create more friction, causing the car to slow down more quickly and have a shorter coasting distance. A smoother surface will have less friction, allowing the car to coast for a longer distance before coming to a stop.