Question

sophia has just fallen asleep on her couch. her dog buster is sitting on her back. buster is pushing down on sophia with a force of 50 n. earths gravity is pulling down on sophia with a force of 650 n. the couch is pushing up on sophia with a force of 700 n. assume all other forces on sophia are balanced. which statement describes the forces on sophia? the forces are balanced, so there is no net force on sophia. the forces are unbalanced, so there is a net force on sophia.

Explanation:

Step1: Calculate the net force

To find the net force, we need to consider the forces acting on Sophia. The forces acting on her are:

• Force from the couch pushing up: \(F_{couch} = 700\space N\)
• Force from Earth's gravity pulling down: \(F_{gravity}= 650\space N\)
• Force from Buster pushing down: \(F_{Buster}= 50\space N\)

The formula for net force \(F_{net}\) is \(F_{net}=\sum F\) (sum of all forces).

The upward force is \(F_{up}=700\space N\) and the downward forces are \(F_{down}=650 + 50=700\space N\)

Step2: Analyze the net force

Using the formula \(F_{net}=F_{up}-F_{down}\)

Substitute the values: \(F_{net}=700-(650 + 50)\)

\(F_{net}=700 - 700=0\space N\)

When \(F_{net} = 0\space N\), the forces are balanced.

Answer:

The forces are balanced, so there is no net force on Sophia.