Final answer:
To determine the acceleration of the block, we can use Newton's second law of motion and the equation for net force. By calculating the frictional force and subtracting it from the applied force, we can find the net force. Finally, we can apply Newton's second law to find the acceleration.
Step-by-step explanation:
To determine the acceleration of the block, we will 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 equation for the net force can be written as:
Net force = Applied force - Frictional force
The applied force is 500 Newtons, and the frictional force can be calculated by multiplying the coefficient of kinetic friction (0.30) by the normal force exerted on the block by the surface. The normal force is equal to the weight of the block, which can be calculated by multiplying the mass (100 kg) by the acceleration due to gravity (9.8 m/s²).
Using these values, we can calculate the frictional force and substitute it into the equation for net force to solve for acceleration:
Frictional force = 0.30 * (100 kg * 9.8 m/s²)
Net force = 500 N - Frictional force
Net force = 500 N - (0.30 * (100 kg * 9.8 m/s²))
Once we have the net force, we can rearrange Newton's second law to solve for acceleration:
Acceleration = Net force / Mass
Substituting the values, we find:
Acceleration = (500 N - (0.30 * (100 kg * 9.8 m/s²))) / 100 kg
Calculating this expression gives us the acceleration of the block.