Question

A race car has a mass of 833 kg. It accelerates uniformly from rest, and travels 48.9 m in 3.13 s.Find the net force acting on the car.

Answer 1

Question#19764

A race car has a mass of 833 kg. It accelerates uniformly from rest, and travels 48.9 m in 3.13 s. Find the net force acting on the car.

Solution:

Let:

$$m = 833 \, \text{kg}$$ $$S = 48.9 \, \text{m}$$ $$t = 3.13 \, \text{s}$$

F—?

According to the second Newton’s law:

$$F = ma, \text{ were: } a \text{ — acceleration}$$

Such as:

$$S = \frac{1}{2} a t^2, \quad a = \frac{25}{t^2}$$ $$\Rightarrow$$ $$F = m \frac{25}{t^2}$$ $$F = 833 \frac{2 \div 48.9}{3.13^2} = 8315,63 \, \text{N}$$

Answer: 8315.63 N