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Two people push a 2,159 kg car to get it started. An acceleration of at least 3.4 m/s\(^2\) is required to start the car. Assuming both people apply the same magnitude of force in the same horizontal direction, how much force will each need to apply if the friction between the car and the road is 310 N?

Express your answer in scientific notation.

Answer :

The force needed to be applied by each person is 5.150×10^3 N.

The required acceleration is 3.4 m/s2 and the mass of the car is 2,159 kg.

According to Newton's second law:

F = ma

F = 2,159 × 3.4.

F = 7340.6 N

Adding the force of friction into it

F = 7340 + 310

F = 7650.6 N

Since two people need to apply the force

F = 7650 N / 2

F = 3,825.3 N

or

F = 3.825×10^3 N

The force applied by each person to push the car is 3.825×10^3 N.

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