What is the acceleration of an object of mass 2.5kg experiencing a force of 30N up and 70N down?
Question
What is the acceleration of an object of mass 2.5kg experiencing a force of 30N up and 70N down?
Solution
Sure, here's how you can calculate the acceleration:
Step 1: Determine the net force acting on the object. The net force is the sum of all forces acting on the object. In this case, you have a force of 30N acting upwards and a force of 70N acting downwards. Since these forces are in opposite directions, we subtract the smaller force from the larger one.
70N (downwards) - 30N (upwards) = 40N (downwards)
So, the net force acting on the object is 40N downwards.
Step 2: Use Newton's second law to calculate the acceleration. Newton's second law states that the acceleration of an object is equal to the net force acting on it divided by its mass.
Acceleration = Net Force / Mass
Substitute the given values into the formula:
Acceleration = 40N / 2.5kg = 16 m/s²
The negative sign indicates that the acceleration is directed downwards. So, the acceleration of the object is 16 m/s² downwards.
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