A force of 20 N is needed to overcome a frictional force if 5 N and accelerate a 3 kg mass across a floor. What is the acceleration of the mass?

a= 5m/^2

Given :

Mass ,m=3 Kg and Frictional Force, f = 5N Force ,f = 20N

Thus accuration of the mass, a = F-f/m
=20-5/3 =5m/s^2

F = m a

F = 20-5 = 15N
so
15 = 3 a
a = 5 m/s^2

To find the acceleration of the mass, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

Let's break down the problem step by step.

1. Determine the net force acting on the mass:
- The force required to overcome the frictional force is 20 N.
- The frictional force is given as 5 N.
- Therefore, the net force is the difference between the applied force and the frictional force:
Net force = Applied force - Frictional force
= 20 N - 5 N
= 15 N

2. Use Newton's second law of motion to find the acceleration:
- Newton's second law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
- In this case, the net force is 15 N and the mass is 3 kg.
- Therefore, we can write the equation as:
Net force = Mass × Acceleration
15 N = 3 kg × Acceleration

3. Solve for the acceleration:
- Divide both sides of the equation by the mass (3 kg):
Acceleration = 15 N / 3 kg
= 5 m/s²

Therefore, the acceleration of the mass is 5 m/s².