Which object will accelerate more if the student exerts an equal amount of force on each object? (1 point) Responses 10 kg box 10 kg box two 10 kg boxes
The two 10 kg boxes will accelerate more if the student exerts an equal amount of force on each object.
The two 10 kg boxes will accelerate more if the student exerts an equal amount of force on each object.
To determine which object will accelerate more, we need to apply Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. The equation is as follows:
F = m * a
Where:
F represents the net force applied to the object,
m represents the mass of the object,
and a represents the resulting acceleration.
Let's calculate the net force and compare the acceleration for each scenario.
Scenario 1: Student exerts an equal amount of force on a single 10 kg box.
Considering that the force applied to each box is equal, we can directly compare the resulting accelerations. Let's say the force exerted by the student is 'F' in both scenarios.
F = m * a --> F = 10 kg * a
Scenario 2: Student exerts an equal amount of force on two 10 kg boxes.
In this scenario, the force is still 'F,' but acting on two boxes instead of one. Thus, the total mass is 2 * 10 kg = 20 kg.
F = m * a --> F = 20 kg * a
Comparing the two scenarios, we can conclude that if the student exerts an equal amount of force on each object, the 10 kg box (Scenario 1) will accelerate more than the two 10 kg boxes (Scenario 2). This is because the single box has half the total mass, resulting in a greater acceleration.
Therefore, the 10 kg box will accelerate more.