Question

how much force is needed to accelerate a 1,800 kg car at a rate of 1.5 m/s²?
a. 1200 n
b. 2700 n
c. 8493 n
d. 16,562 n

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is the force, \(m\) is the mass, and \(a\) is the acceleration.

Step2: Substitute the given values

Given \(m = 1800\space kg\) and \(a=1.5\space m/s^{2}\). Substitute into the formula: \(F=(1800\space kg)\times(1.5\space m/s^{2})\).

Step3: Calculate the force

\(F = 1800\times1.5=2700\space N\)

Answer:

B. \(2700\space N\)