An SUV's engine provides 3500 N of force for a vehicle that has a mass 2000 kg. If an engineer develops a new chassis for the SUV that is two times the mass, what is the acceleration of the vehicle with the new chassis?

Answer 1

To find the acceleration of the vehicle with the new chassis, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma).

We know that the engine provides a force of 3500 N and the previous mass of the SUV is 2000 kg. Therefore, the previous acceleration is given by:

3500 N = 2000 kg * a

Rearranging the equation gives:

a = 3500 N / 2000 kg
a = 1.75 m/s²

Now, if the new chassis is two times the mass of the previous chassis, the new mass becomes 2 * 2000 kg = 4000 kg.

Using the same equation and the new mass, the new acceleration is calculated as:

3500 N = 4000 kg * a

Rearranging and solving for a gives:

a = 3500 N / 4000 kg
a = 0.875 m/s²

Therefore, the acceleration of the vehicle with the new chassis is 0.875 m/s².