QUESTION IMAGE
Question
that each of the friends made.
who was right?
harper: \i think my boat will be the fastest
because its lighter, so it needs less force to
move quickly.\
sofia: \well, i think my boat will be faster
because it has a really strong fan to push
it.\
elijah: \both of you are wrong. my boat will
be the fastest because its the biggest one
here.\
harper will win the race because their boat has a fan force and a mass.
harper
light
mass
high fan
speed
sofia
medium
mass
high
fan
speed
elijah
medium
mass
medium
fan
speed
harper
high fan force
sofia
high fan force
elijah
medium fan force
Step1: Analyze Harper's Boat
Harper's boat has light mass (less inertia) and high fan force. From physics (Newton's second law \( F = ma \), so \( a=\frac{F}{m} \)), lower mass and higher force give higher acceleration.
Step2: Analyze Sofia's Boat
Sofia's boat has medium mass and high fan force. Her mass is higher than Harper's, so acceleration \( a=\frac{F}{m} \) will be less than Harper's (same force, higher mass).
Step3: Analyze Elijah's Boat
Elijah's boat has medium mass and medium fan force. Both force and mass are medium, so acceleration \( a=\frac{F}{m} \) is lower than Harper's (lower force, same mass as Sofia but Sofia has higher force).
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Harper will win the race because their boat has a high fan force and a light mass.