if car, mass 1485 kg, traveling south at 116 km/h, slows to stop in 10.25 second. what is the magnitude and direction of the net force that acted on the car?
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Answers
Answer:
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Step-by-step explanation:
We have a car that has a mass of 1380 kilograms. It moves with the initial velocity of 27 meters per second and then slows down to a final velocity of 17 meters per second. And this is then in eight seconds and we want to calculate the force that causes this deceleration of the car. And so to do this problem, we use Newton's second Law, which in December the forces or in this case is just one force equals mass times acceleration. So we know the mass of the vehicle. But we don't know the acceleration so we can use the equation for acceleration, which is a equals, the change in velocity of the car divided by time and so plugging in what we know. You know that the final velocity 17, minus 27 for the initial and then divided by time, which is eight seconds. So for the acceleration we get negative 1.25 meters per second square. So this is the deceleration that's occurring in the car. And so plugging this in tune in second long. We have the mass which is 13 1380 kg, times negative 1.25 With the acceleration, we get a negative force which is equal to negative 1725 Nevins. So this force is going in the opposite direction of the movement of the vehicle and that's what's causing it to slow down to a final velocity of 17 m per second.
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So in this question, we are given that there is a car, yeah, which is moving with some speed. And the speed is actually given to us. The speed is 116 kilometer per r which can be converted into a meter per 2nd, 116 and 25 by Hayden meters per second. So the speed will ultimately come out to be approximately 32.2 me just for a second. Now this car is basically slowing down and here the speed was definitely 32.2, but here it is finally stopping. So here, if the time is zero here, the time is coming out with 10.25, This is given to us. Now if we talk about the acceleration of this body which is equal to b minus you by t Spinal Last Day zero, we can see Initial velocity is 32.22 And time taken is 10.25. So which is giving us acceleration. The value of acceleration. Uh here and the value of acceleration, which is coming out to me. Uh If we calculate this value is coming out to be approximately minus 3.144 approximately meter per second squared is acceleration negative acceleration means the force is actually acting in that backward direction opposite to the direction of motion. And we know that force is basically called a mass into acceleration and mass. We already know the value of mass. We know what is the value of mass. So the value of mass is given to us. It is 1485 into acceleration is -3.144 approximately. So that maybe you calculate the value of force, which will be minus of 466, 8.293 Newtons. So this amount, of course here, the negative the negative sign is showing that of course, is opposite to the direction of motion here in this case, so this would be the amount of force acting on the car.
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