A 20kg block is being pulled by a 150N force,the block is initially at rest,if the coefficient of frictionbetween the block and the surface is 0.3,find (a)the normal force,(b)the friction force acting on the block,(c)find the acceleration of the block

normal force=weight = m g = 20*9.8 = 196 N

mu m g = max friction = .3*196 =58.8 N
F = 150 -58.8 = 91.2 N
a = F/m = 91.2/20

To find the normal force acting on the block, we need to understand that the normal force is the force exerted by the surface to support the weight of the object. It is equal in magnitude and opposite in direction to the force of gravity acting on the block.

The formula to calculate the normal force is given by:
Normal force = Weight = mass × gravitational acceleration

(a) The weight of the block can be calculated using the formula:
Weight = mass × gravitational acceleration

Given that the mass of the block is 20 kg and the gravitational acceleration is approximately 9.8 m/s^2, we can calculate the weight of the block as follows:
Weight = 20 kg × 9.8 m/s^2 = 196 N

Therefore, the normal force acting on the block is equal to the weight, which is 196 N.

(b) To calculate the friction force, we need to understand that the force of friction is given by the product of the coefficient of friction and the normal force.

The formula to calculate the friction force is given by:
Friction force = coefficient of friction × normal force

Given that the coefficient of friction is 0.3 and the normal force is 196 N, we can calculate the friction force as follows:
Friction force = 0.3 × 196 N = 58.8 N

Therefore, the friction force acting on the block is 58.8 N.

(c) Lastly, to find the acceleration of the block, we need to 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.

The formula to calculate acceleration is given by:
Acceleration = net force / mass

First, let's find the net force acting on the block. The net force is the difference between the applied force and the friction force:
Net force = applied force - friction force

Given that the applied force is 150 N and the friction force is 58.8 N, we can calculate the net force as follows:
Net force = 150 N - 58.8 N = 91.2 N

Now, we can find the acceleration:
Acceleration = net force / mass
Acceleration = 91.2 N / 20 kg = 4.56 m/s^2

Therefore, the acceleration of the block is 4.56 m/s^2.