Question

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on a certain object, the acceleration of the object is 4 m/s^2 . If the force is changed to 30 N, what will be the acceleration of the object?

Answer 1

6m/s²

Explanation:

According to Newton's second law

Force F acting on an object varies directly with the object's acceleration a. Mathematically it is expressed as

F = ma where;

m is the mass of the object

F is the applied force

a is the acceleration

Let m be constant

m = F/a

If a force of 20 N acts on a certain object with an acceleration of 4m/s²

m = 20/4

m = 5kg

If the force is changed to 30 N, its new acceleration can be gotten using the previous formula.

F = ma

a = F/m

a = 30/5 (since mass is kept constant)

a = 6m/s²

Answer 2

6 m/s²

Step-by-step explanation:

We know that the force acting on an object varies directly with the acceleration. The force, F, and acceleration, a, are related by:

F = m * a

Where m is the mass of the object

We then need to find the mass of the object before we can find its acceleration when the force is 30 m/s².

Therefore, when the force is 20 N and the acceleration is 4 m/s²:

20 = m * 4

=> m = 20/4 = 5 kg

The mass of the object is 5 kg. Hence, we can find the acceleration of the object when the force is 30 N

30 = 5 * a

=> a = 30/5 = 6 m/s²

The acceleration of the object is 6 m/s²