Final answer:
To calculate the acceleration of the block and tension in the string, we can use the equations for force of gravity, frictional force, and tension. The acceleration of the block is found by finding the net force acting on it, which is the force of gravity minus the frictional force. The tension in the string is equal to the force of gravity acting on the hanging mass. Which is 49 N.
Step-by-step explanation:
To calculate the acceleration of the block, we need to first find the net force acting on it.
The force of gravity acting on the hanging mass is given by the equation Fg = mg, where m is the mass and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Therefore,
Fg = (5 kg)(9.8 m/s^2)
= 49 N.
The frictional force opposing the motion of the block is given by the equation Ff = µkN, where µk is the coefficient of kinetic friction and N is the normal force.
The normal force is equal to the force of gravity acting on the block, so
N = (20 kg)(9.8 m/s^2)
= 196 N.
Therefore,
Ff = (0.15)(196 N)
= 29.4 N.
Since the block is attached to the hanging mass, the tension in the string is equal to the force of gravity acting on the hanging mass, which is 49 N.
Therefore, the tension in the string is 49 N.