A 1.08 x 103 kg car uniformly accelerates for 12.0 s from rest. During this time the car
travels 132 m north. Find the net force acting on the car during this acceleration.​

Respuesta :

Answer:

5940N

Explanation:

Given parameters:

Mass of car = 1.08 x 10³kg = 1080kg

Time for acceleration = 12s

Displacement = 132m

Unknown:

Net force = ?

Solution

According to newton's second law of motion; "the acceleration of a body is directly proportional to its force and inversely proportional to mass".

         F = m x a

F is the net force

m is the mass

a is the acceleration

     Acceleration = [tex]\frac{V - U}{t}[/tex]

         V is the final velocity

          U is the initial velocity

         t is the time taken

To find the final velocity here which is V;

           V = [tex]\frac{displacement}{time}[/tex]  = [tex]\frac{132}{12}[/tex]  = 11m/s

since the body accelerates uniformly from rest, U = 0

    Now, solve for acceleration;

         A  = [tex]\frac{11 - 0}{12}[/tex]  = 5.5m/s²

So;

         F = ma

           F = 1080 x 5.5 = 5940N