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A 1500 kg car traveling at 80.0 km/h comes to a screeching halt in a time of 4.00 seconds. Calculate the force of friction experienced by the car.​

User BumbleBee
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2 Answers

7 votes
7 votes

Final answer:

To calculate the force of friction experienced by the car, you can use the equation: Force of friction = mass of the car × acceleration. By converting the car's initial velocity from km/h to m/s and using the formula for acceleration, we can calculate the force of friction to be 8332.5 N.

Step-by-step explanation:

To calculate the force of friction experienced by the car, we can use the equation:

Force of friction = mass of the car × acceleration

First, we need to convert the car's initial velocity from km/h to m/s:80.0 km/h = 80.0 × (1000/3600) m/s = 22.2 m/s

We can calculate the acceleration using the equation:Acceleration = change in velocity / time

The change in velocity is from 22.2 m/s to 0 m/s, so it is -22.2 m/s. The time is 4.00 seconds. Plugging these values into the equation:Acceleration = (-22.2 m/s - 0 m/s) / 4.00 s = -5.55 m/s^2

Now we can calculate the force of friction:Force of friction = (1500 kg) × (-5.55 m/s^2) = -8332.5 N

Since force cannot be negative, the force of friction experienced by the car is 8332.5 N.

User Angrykoala
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3.5k points
10 votes
10 votes

Answer:

F=m x a

(F is force ,M is mass and A is acceleration)

in thisncase the Mass is given but we need to find ou the acceleration

Formula for acceleration-

a=(v - u)/t

(v is final velocity , u is initiatal velocity and t is time)

a = (0 - 80)/4

a= -80/4

a= -20

By substituting the values-

F= m x a

F= 1500 x -20

F=-30000N

Thus the force acted is -30000N

hope this helps

User Deathspike
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4.0k points