Which object will accelerate more if the student exerts an equal amount of force on each object?
is it object 1 (10kg)
is it object 2 (20kg)
Object 1 (10kg) will accelerate more if the student exerts an equal amount of force on each object. This is because according to Newton's second law of motion, F = ma, where F is the force, m is the mass, and a is the acceleration. Since both objects are experiencing the same force, the acceleration will be inversely proportional to the mass. Therefore, the object with the smaller mass (object 1) will have a greater acceleration compared to the object with the larger mass (object 2).
According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force exerted on it and inversely proportional to its mass. The equation for this is a = F/m, where "a" is the acceleration, "F" is the force, and "m" is the mass.
In this case, if the student exerts an equal amount of force on each object, we can compare their accelerations based on their masses. Given that object 1 has a mass of 10kg and object 2 has a mass of 20kg, we can calculate their accelerations as follows:
For object 1:
a1 = F/m = F/10kg
For object 2:
a2 = F/m = F/20kg
Since the force applied is the same for both objects, we can see that object 1 (10kg) will accelerate more than object 2 (20kg) because the mass is smaller.
To determine which object will accelerate more when an equal amount of force is exerted on each, we need to consider Newton's second law of motion. According to this law, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
The equation that represents Newton's second law is: F = ma
where F is the force applied, m is the mass of the object, and a is its acceleration.
Since the force applied to both objects is the same, we can compare their accelerations directly. Let's calculate the accelerations for both objects using the given masses:
Object 1: mass = 10 kg
Object 2: mass = 20 kg
Given that the force applied is the same, we can assume it to be 1 unit (e.g., N or kg·m/s²). Substituting the values into the equation, we get:
For Object 1:
F = ma
1 = 10a
a = 1/10 m/s²
For Object 2:
F = ma
1 = 20a
a = 1/20 m/s²
Comparing the accelerations of the two objects, we can see that Object 1 has an acceleration of 1/10 m/s², while Object 2 has an acceleration of 1/20 m/s².
Therefore, Object 1 with a mass of 10 kg will accelerate more than Object 2 with a mass of 20 kg when an equal amount of force is exerted on each object.