A 5 kg block is pulled across a table by a horizontal force of 40 N with a frictional force of 8 N opposing the motion. Calculate the acceleration of the object.
Question
A 5 kg block is pulled across a table by a horizontal force of 40 N with a frictional force of 8 N opposing the motion. Calculate the acceleration of the object.
Solution 1
Sure, here's how you can calculate the acceleration of the object:
Step 1: Identify the forces acting on the object. In this case, there are two forces: the pulling force (40 N) and the frictional force (8 N).
Step 2: Calculate the net force acting on the object. The net force is the difference between the pulling force and the frictional force. So, net force = pulling force - frictional force = 40 N - 8 N = 32 N.
Step 3: Use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass. So, acceleration = net force / mass = 32 N / 5 kg = 6.4 m/s².
So, the acceleration of the object is 6.4 m/s².
Solution 2
Sure, here's how to calculate the acceleration of the object:
Step 1: Identify the forces acting on the object. In this case, there are two forces: the pulling force (40 N) and the frictional force (8 N).
Step 2: Calculate the net force acting on the object. The net force is the difference between the pulling force and the frictional force. So, net force = pulling force - frictional force = 40 N - 8 N = 32 N.
Step 3: Use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass. So, acceleration = net force / mass = 32 N / 5 kg = 6.4 m/s².
So, the acceleration of the object is 6.4 m/s².
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