Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. our lab demonstrating newtons 2nd law showed us that: * 5 points a g…

Question

  1. our lab demonstrating newtons 2nd law showed us that: * 5 points a golf ball will travel farther than a ping pong ball, when the same amount of force is applied. a ping pong ball will travel farther than a golf ball, when the same amount of force is applied.

Explanation:

Step1: Recall Newton's 2nd Law

Newton's 2nd Law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration. Rearranging for acceleration gives \(a=\frac{F}{m}\).

Step2: Compare masses of golf ball and ping - pong ball

A golf ball has a greater mass (\(m\)) than a ping - pong ball. Given the same force (\(F\)), using \(a = \frac{F}{m}\), the ping - pong ball (with smaller \(m\)) will have a larger acceleration (\(a\)).

Step3: Relate acceleration to distance traveled

Assuming the force is applied for the same time interval and the motion is in a straight line (constant - force, one - dimensional motion, neglecting air resistance etc.), using the kinematic equation \(x=v_0t+\frac{1}{2}at^{2}\) (with \(v_0 = 0\) if starting from rest), a larger acceleration (\(a\)) will result in a larger distance (\(x\)) traveled in the same time (\(t\)).

Answer:

A ping pong ball will travel farther than a golf ball, when the same amount of force is applied.