Question

A vehicle has a mass of 1000 kg what must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of 1.5ms2​

Answer 1

Answer:

1500 newtons opposite direction of car

Explanation:

Force = mass×Acceleration

Force = 1000×-1.5

Force = - 1500 Newtons

Answer 2

The force between the vehicle and the road, if the vehicle is to be stopped with a negative acceleration of 1.5 ms⁻² is equal to 1500 Newton.

Given:

Mass of the Vehicle (m) = 1000 kg

Negative acceleration of the Vehicle (a) = 1.5 ms⁻²

To Find:

The force (F) between the vehicle and the road.

Solution:

→ According to Newton's second law of motion, the acceleration (a) of a body is directly proportional to the Net external force (F) applied and inversely proportional to the mass of the body (m). The direction of the acceleration is the same as the direction of the external force.

             $\therefore Acceleration\:of\:body(a)=\frac{Net\:External\:Force(F)}{Mass \:of\:Body(m)}$

→ Hence we can say that the Net external force (F) is equal to the product of the acceleration (a) and mass of the body (m).

           $\therefore External \:Force(F)=Mass\:of\:Body(m)\times acceleration(a)\\\\\therefore F_{external} =m\times a$

→ The above formula is valid only if the mass of the body remains constant.

→ According to the given question:

The mass of the body (m) = 1000 kg

Acceleration of the body (a) = -1.5 ms⁻² (Negative sign means retardation)

→ Hence we can find the retarding force (F) due to the road by calculating the product of the mass of the body (m) and retardation (a).

           $F_{Retardation} =Mass(m)\times Retardation(a)$

                       $\therefore F=m\times a\\\\\therefore F=(1000)\times(1.5)\\\\\therefore F=1500\:N$

→ Hence the retarding force (F) due to the road is equal to 1500 N.

Therefore the force between the vehicle and the road, if the vehicle is to be stopped with a negative acceleration of 1.5 ms⁻² is equal to 1500 Newton.

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