Question

practice it!
which statement(s) are examples of how a greater amount of force can result in a greater change in motion?
giving a friend a big push on a swing.
kicking a soccer ball as hard as you can.
giving a friend a small push on a swing.
running home from school instead of walking.
kicking a soccer ball softly.

Explanation:

• Giving a friend a big push on a swing: A big push means a greater force. According to Newton's second law \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration), a greater force will cause a greater acceleration (change in motion) for the friend on the swing.
• Kicking a soccer ball as hard as you can: A hard kick implies a large force. Using \(F=ma\) (with the mass of the ball \(m\) being constant), a larger force \(F\) leads to a larger acceleration \(a\) (change in the ball's motion).
• Giving a friend a small push on a swing: A small push is a small force. By \(F = ma\), a small force results in a small acceleration (less change in motion).
• Running home from school instead of walking: This is a change in the person's own effort (not an external force applied to cause a change in motion of an object in the sense of the force - motion change relationship we are considering here. It's more about the person's own muscle - power utilization for their own movement, not an external force - object motion change as per \(F = ma\) for an external object).
• Kicking a soccer ball softly: A soft kick is a small force. Using \(F=ma\), a small force gives a small acceleration (less change in the ball's motion).

Answer:

Giving a friend a big push on a swing, Kicking a soccer ball as hard as you can.