Question

What distance did the force act when a car with a mass of 1200 kg accelerates from 5 m/s to 15m/s? The force of the engine acting on the car is 6000 N.

Answer 1

To determine the distance over which the force acts when a car accelerates, we can use the equation:

$F=m\cdot a$

Where: F = Force acting on the car m = Mass of the car a = Acceleration of the car

In this case, the force acting on the car is 6000 N, and the mass of the car is 1200 kg. We need to find the acceleration to calculate the distance.

Rearranging the equation, we have:

$a=\frac{F}{m}$

Plugging in the values, we get:

$a=\frac{6000\text{N}}{1200\text{kg}}=5{\text{m/s}}^2$

Now, we can use the following equation to calculate the distance:

$d=\frac{v_f^2-v_i^2}{2a}$

Where: d = Distance over which the force acts v_f = Final velocity of the car v_i = Initial velocity of the car a = Acceleration of the car

Plugging in the values, we get:

d=(15 m/s)2−(5 m/s)22⋅5 m/s2d = frac{{(15 , ext{m/s})^2 - (5 , ext{m/s})^2}}{{2 cdot 5 , ext{m/s}^2}}d=2⋅5m/s<span class="si