Concept explainers
Calculate the horizontal force that must be applied to produce an acceleration of 1.8g for a 1.2-kg puck on a horizontal friction-free air table.
Thehorizontal force to be applied to a puck of given mass and acceleration on a friction-free table
Answer to Problem 30A
The horizontal force to be applied on the puck is
Explanation of Solution
Given:
A 1.2-kg puck is moved on a horizontal friction-free air table with an acceleration equal to that of 1.8 times that of acceleration due to gravity.
Formula used:
Using Newton’s second law of motion, a body experiencing a force F gets accelerated in the direction of the force and its magnitude a is proportional to magnitude of the applied force. It also holds an inverse relation with the mass of the body m . This can be expressed as,
Calculation:
Here, mass of the puck is 1-kg. The acceleration is 1.8 times the acceleration due to gravity, given by
Substituting the parameters in the expression, the applied force can be obtained as,
Conclusion :
The horizontal force to be applied on the puck is
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