Question

four model rockets are launched in a field. the mass of each rocket and the net force acting on it when it launches are given in the table below. which rocket has the highest acceleration? a. rocket 2 b. rocket 4 c. rocket 3 d. rocket 1

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is the net force, \(m\) is the mass, and \(a\) is the acceleration. We can solve for \(a\) as \(a=\frac{F}{m}\).

Step2: Calculate acceleration for each rocket

• For Rocket 1: \(a_1=\frac{120}{4.25}\approx28.24\space m/s^{2}\)
• For Rocket 2: \(a_2=\frac{120}{3.25}\approx36.92\space m/s^{2}\)
• For Rocket 3: \(a_3=\frac{120}{5.50}\approx21.82\space m/s^{2}\)
• For Rocket 4: \(a_4=\frac{120}{4.50}\approx26.67\space m/s^{2}\)

Answer:

A. Rocket 2