Question

Two people push a 2,000-kg car to get it started. An acceleration of at least 5.0 m/s2 is required to start the car. Assuming both people apply the same magnitude force, how much force will each need to apply if friction between the car and the road is 300 N?

Answer 1

The answer is 5670newton
It correcect

Answer 2

Given:

Two people pushing a car, requiring acceleration of 5 m/s2 to start

m = 2000 kg

a = $5\: m/s^{2}$

frictional force between car and road = 300 N

Each person applies the same magnitude of force

To find:

Magnitude of force to be applied by each person

Solution:

Let force applied by each person = F

According to Newton's second law of motion,

$F=m\:a$

$F=2000*5 \: kg\; m/s^{2}$

$F=10,000 N \: (1kg\; m/s^{2} = 1 N)$

It is given that the friction between the car and road is 300 N. This force also needs to be overcome additionally to start the car.

Hence, total force to be applied by both the person

$=10000+300\:N$

$=10300\:N$

This force is applied by two people. Each person applies force of same magnitude.

Therefore, force applied by each person is

$\frac{10,300}{2} \\ =5,150\:N$

Answer:

Each person will need to apply a force of 5,150 N or 5.15 kN.