which object will accelerate more if the student exerts an equal amount of force on each object?
10 kg box
two 10 kg boxes
If the student exerts an equal amount of force on each object, the acceleration will be the same for both objects. This is based on Newton's second law, which states that the acceleration of an object is directly proportional to the net force applied to it, and inversely proportional to its mass. Since both objects have the same mass, they will have the same acceleration if the same force is applied to them.
If the student exerts an equal amount of force on each object, both objects will experience the same acceleration. This is because acceleration depends on the ratio of force to mass, which is the same for both objects in this case. So, whether it is a single 10 kg box or two 10 kg boxes, the acceleration will be the same.
To determine which object will accelerate more when the student exerts an equal amount of force on each object, we need to apply Newton's second law of motion. According to this law, the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass.
Let's assume the force exerted by the student is 'F' on both objects.
For the 10 kg box:
According to Newton's second law, the equation for acceleration (a) is:
a = F / m
Where:
a = acceleration
F = force applied
m = mass of the object
When we substitute the values:
a = F / 10 kg
For two 10 kg boxes:
Similarly, the equation for acceleration would be:
a = F / (2 * m)
Where:
a = acceleration
F = force applied
m = mass of each box (10 kg)
When we substitute the values:
a = F / (2 * 10 kg)
Simplifying the expressions, we can see that the acceleration of the 10 kg box is twice that of the two 10 kg boxes. This means that the 10 kg box will accelerate more when the student exerts an equal amount of force on each object.