Question

A car has a mass of 1600 kg. It is stuck in the snow and is being pulled out by a cable that applies a force of 7560 N due north. The resistance of the snow and mud also applies a force to the car, which has a magnitude of 7340 N and points due south. What is the acceleration of the car?a)0.14 m/s2 northb)4.7 m/s2 northc)4.6 m/s2 southd)9.3 m/s2 southe)There is not enough information to determine the car’s acceleration.

Answer 1

a ≈ 0.14 m/s²

Step-by-step explanation:

Given

m = 1600 kg

F = 7560 N (↑)

Ff = 7340 N (↓)

a = ?

We can apply Newton's Second Law as follows

∑F = m*a (↑)

⇒ F - Ff = m*a ⇒ a = (F-Ff)/m

⇒ a = (7560 N - 7340 N)/(1600 kg) = 0.1375 m/s² ≈ 0.14 m/s²