Question

1. Some penguins are playing turtle hockey on the frictionless ice. Ramona the penguin hits the turtle

with a force of magnitude F, and the turtle experiences an acceleration of magnitude a (Fand a are of

unknown size). Francisco the penguin hits the same turtle with a force of magnitude three times

greater than Ramona's force (3F). What will the resulting acceleration of the turtle be? Answer in

terms of a. Support your answer with reasoning and reference to Newton's Second Law.

Answer 1

a' = 3a

Step-by-step explanation:

Newton's Second Law gives the magnitude of the unbalanced force applied to an object as follows:

F = ma

where,

F = Force Applied

m = Mass of Object

a = acceleration

FOR RAMONA'S PUSH:

F = F

m = m

a = a

Therefore,

F = ma

a = F/m ---------------- equation (1)

FOR FRANSICO'S PUSH:

F = 3F

m = m (mass of turtle will be same)

a = a'

Therefore,

3F = ma'

a' = 3F/m

using equation 1

a' = 3a