Question

if olivias ship has a very large mass, how will this affect the amount of force needed to make a noticeable change in its acceleration?
a) less force will be needed.
b) more force will be needed.
c) the force needed will not change.
d) the ship will accelerate on its own.
which unit is used to measure force?
a) kilograms (kg)
b) meters per second squared (m/s2)
c) newtons (n)
d) seconds (s)

Explanation:

First Question (Force and Mass Relationship)

Step1: Recall Newton's Second Law

Newton's second law is \( F = ma \), where \( F \) is force, \( m \) is mass, and \( a \) is acceleration.

Step2: Analyze the Relationship

If mass (\( m \)) increases (the ship has a large mass) and we want to keep the acceleration (\( a \)) the same (noticeable change in acceleration), from \( F = ma \), if \( m \) increases, \( F \) must increase to maintain the same \( a \). So more force is needed.

Step1: Recall Force Units

• Kilograms (kg) measure mass.
• Meters per second squared (\( \text{m/s}^2 \)) measure acceleration.
• Newtons (N) measure force (from \( F = ma \), \( 1 \text{N} = 1 \text{kg}\cdot\text{m/s}^2 \)).
• Seconds (s) measure time.

Step2: Identify the Force Unit

From the above, Newtons (N) are the unit of force.

Answer:

b) More force will be needed.

Second Question (Unit of Force)