Question

practice it!
select the statement(s) that accurately describe how force and movement are connected.
objects given more force will move faster than the same object given less force.
objects given less force will move farther than the same object given more force.
objects given less force will move faster than the same object given more force.
the force given and the movement of an object are not connected.
objects given more force will move farther than the same object given less force.

Explanation:

Step1: Analyze the relationship between force and movement

According to Newton's second law \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration). For the same object (constant \(m\)), a larger force (\(F\)) leads to a larger acceleration (\(a\)). Acceleration is related to the change in velocity (faster movement) and also, if the force is applied for the same time, a larger force - larger acceleration - more displacement (farther movement).

Step2: Check each option

• Option 1: Objects given more force will move farther than the same object given less force. If the force is applied for the same time, using \(s=v_0t+\frac{1}{2}at^{2}\) and \(a = \frac{F}{m}\), with \(v_0 = 0\) (assuming starting from rest), \(s=\frac{1}{2}\frac{F}{m}t^{2}\). So more \(F\) (same \(m\) and \(t\)) gives more \(s\) (farther movement).
• Option 2: The force given and the movement of an object are not connected. This is wrong as per \(F = ma\) and kinematic equations.
• Option 3: Objects given less force will move faster than the same object given more force. Since \(a=\frac{F}{m}\), more \(F\) (same \(m\)) gives more \(a\) (faster acceleration, leading to higher velocity if time is considered), so this is wrong.
• Option 4: Objects given less force will move farther than the same object given more force. Using \(s=\frac{1}{2}\frac{F}{m}t^{2}\) (for \(v_0 = 0\)), more \(F\) (same \(m\) and \(t\)) gives more \(s\), so this is wrong.
• Option 5: Objects given more force will move faster than the same object given less force. Since \(a=\frac{F}{m}\), more \(F\) (same \(m\)) gives more \(a\). If we consider the velocity - time relation \(v = v_0+at\) (with \(v_0 = 0\)), more \(a\) (from more \(F\)) gives more \(v\) (faster movement) over the same time \(t\).

Answer:

Objects given more force will move farther than the same object given less force; Objects given more force will move faster than the same object given less force.