Question

which toy car has the greatest acceleration?

Explanation:

Step1: Recall Newton's second law

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

Step2: Calculate acceleration for Toy Car A

For Toy Car A: \(m = 0.5\space kg\), \(F=10\space N\). Using \(a=\frac{F}{m}\), we have \(a_A=\frac{10}{0.5}=20\space m/s^{2}\).

Step3: Calculate acceleration for Toy Car B

For Toy Car B: \(m = 0.6\space kg\), \(F = 15\space N\). Using \(a=\frac{F}{m}\), we have \(a_B=\frac{15}{0.6}=25\space m/s^{2}\).

Step4: Calculate acceleration for Toy Car C

For Toy Car C: \(m = 1.0\space kg\), \(F = 10\space N\). Using \(a=\frac{F}{m}\), we have \(a_C=\frac{10}{1.0}=10\space m/s^{2}\).

Step5: Calculate acceleration for Toy Car D

For Toy Car D: \(m = 1.2\space kg\), \(F = 15\space N\). Using \(a=\frac{F}{m}\), we have \(a_D=\frac{15}{1.2}=12.5\space m/s^{2}\).

Answer:

Toy Car B