An automobile vehicle has a mass of 1500 kg . what must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of 1.7m {s}^{-2} ?
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Given
Mass of the automobile vehicle, m= 1500 kg
Final velocity, v= 0 (finally the automobile stops)
Acceleration of the automobile, a= 1.7 ms2
Find out
We need to find the force between the vehicle and the road if the vehicle is to be stopped with a negative acceleration of -1.7 ms2
Solution
Using Newton’s second law of motion
Formula
Force = Mass x Acceleration
Substituting the known values we get
F= 1500 x (-1.7) = -2550 N
Answer
Hence, the force between the automobile and the road is -2550 N, in the opposite direction of the automobile’s motion
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