Question

question 3. during a football game, camila and ronak watch a professional quarterback throw a football to a teammate. the football has a mass of 0.40 kg. in order for the football to reach his teammate, he must throw it with a force of 11 n. this force would allow the ball to move toward his teammate at the most effective rate for the teammate to score points. camila and ronak decide they want to try to recreate the play in her own youth football game the next weekend. during the game, she is able throw a football with a mass of 0.35 kg with a force of 7 n. which of the following equations could be used to recreate newton’s second law to find the acceleration of ronak’s throw? a. 0.35 kg × 7 n = 2.45 m/s² b. 17.5 m/s² = 7 n/0.40 kg c. 20.0 m/s² = 7 n/0.35 kg d. 0.40 kg × 7 n = 2.8 m/s²

Explanation:

Step1: Recall Newton's Second Law

$F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration. We can rewrite it for acceleration as $a=\frac{F}{m}$.

Step2: Identify values for Ronak's throw

The mass of the football Ronak throws is $m = 0.35$ kg and the force is $F = 7$ N. Substituting into $a=\frac{F}{m}$, we get $a=\frac{7\ N}{0.35\ kg}=20.0\ m/s^{2}$.

Answer:

C. $20.0\ m/s^{2}=7\ N/0.35\ kg$