A 40 kg block accelerates by force of 200N. acceleration of the block is 3 m/s^2 determine the magnitude of friction force fg experienced by the block
Answers
Given :
Mass of block = 40kg
Applied force = 200N
Acceleration of the block = 3m/s²
To Find :
Magnitude of friction force experienced by the block.
Solution :
❒ As per newton's second law of motion, force is measured as the product of mass and acceleration.
Mathematically, F = m × a
- F denotes force
- m denotes mass
- a denotes acceleration
We can use this formula only when friction is absent. In this question, friction force opposes the forward motion.
Therefore the equation will be,
- F - f = ma
where f denotes friction force
By substituting the given values;
➙ F - f = ma
➙ 200 - f = (40)(3)
➙ 200 - f = 120
➙ f = 200 - 120
➙ f = 80 N
Given :
Mass of block = 40kg
Applied force = 200N
Acceleration of the block = 3m/s²
To Find :
Magnitude of friction force experienced by the block.
Solution :
❒ As per newton's second law of motion, force is measured as the product of mass and acceleration.
Mathematically, F = m × a
- F denotes force
- m denotes mass
- a denotes acceleration
We can use this formula only when friction is absent. In this question, friction force opposes the forward motion.
Therefore the equation will be,
- F - f = ma
where f denotes friction force
By substituting the given values;
➙ F - f = ma
➙ 200 - f = (40)(3)
➙ 200 - f = 120
➙ f = 200 - 120
➙ f = 80 N