Question

5.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 1.7 m s–2?



​

Answer 1

Explanation:

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 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 direction opposite to the motion of the automobile.

Answer 2

Given :-

m = 1500 kg

m = 1500 kg a = -1.7m/s $^{2}$

Final Answer :-

F = ma

F = ma = 1500 kg × -1.7m/s$^{2}$

= -2550 kg m/s $^{2}$

= -2550 N

Answer :-

-2500 N