A force of 20N is applied to a mass of 5kg resting on a rough horizontal surface. If the friction force is 5N, what is the acceleration of the mass?
To find the acceleration of the mass, 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 acting on it and inversely proportional to its mass. The formula is given by:
F_net = m * a
Where:
F_net is the net force acting on the object,
m is the mass of the object,
a is the acceleration.
In this case, the net force is the difference between the applied force and the frictional force:
F_net = F_applied - F_friction
Substituting the given values, we get:
F_net = 20N - 5N = 15N
We also know that the mass is 5kg.
Now we can rearrange the formula to solve for the acceleration:
F_net = m * a
15N = 5kg * a
Dividing both sides by 5kg:
a = 15N / 5kg = 3 m/s^2
Therefore, the acceleration of the mass is 3 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 product of its mass and its acceleration.
Here's how you can calculate the acceleration:
1. Start by identifying the forces acting on the mass:
- Applied force (F_applied) = 20N (Given)
- Frictional force (F_friction) = 5N (Given)
2. Next, find the net force acting on the mass:
The net force (F_net) can be calculated by subtracting the frictional force from the applied force:
F_net = F_applied - F_friction
= 20N - 5N
= 15N
3. Now, apply Newton's second law of motion to calculate the acceleration:
F_net = m * a
15N = 5kg * a
Rearrange the equation to solve for acceleration (a):
a = F_net / m
= 15N / 5kg
= 3 m/s²
Therefore, the acceleration of the mass is 3 m/s².
Net force= ma
Net force =(Force-frictional force)
force=20N, Frictional Force=5N
m=5
a=?
replace in equation and find a :)