Question

17 of 25 concepts completedfill in the blank questionwhile in a 1000 kg car traveling on cruise control, you are told the air resistance is generating a force of 1600 n against your motion. your two friends in the back decide they want to accelerate the car, so they push on the seats of the car with 600 n of force each. the change in cars acceleration now becomes ______ m/s².need help? review these concept resources.

Explanation:

Step1: Identify net force on car

First, find the total forward force from friends: $2 \times 600\ \text{N} = 1200\ \text{N}$.
The air resistance is a backward force of $16000\ \text{N}$. Since the car was on cruise control, initial forward force equals air resistance: $F_{\text{initial forward}} = 16000\ \text{N}$.
New net force: $F_{\text{net}} = (16000 + 1200)\ \text{N} - 16000\ \text{N} = 1200\ \text{N}$

Step2: Apply Newton's second law

Use $F_{\text{net}} = ma$, rearrange to solve for acceleration $a = \frac{F_{\text{net}}}{m}$
Substitute values: $a = \frac{1200\ \text{N}}{1000\ \text{kg}}$

Answer:

$1.2$ $\text{m/s}^2$