Concept explainers
Calculate the horizontal force that must be applied to a 1-kg puck to make it accelerate on a horizontal friction-free air table with the same acceleration it would have if it were dropped and fell freely.
Thehorizontal force to be applied to a puck of given mass and acceleration on a friction-free table
Answer to Problem 29A
The horizontal force to be applied on the puck is
Explanation of Solution
Given:
A 1-kg puck is moved on a horizontal friction-free air table with an acceleration equal to that of free fall.
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,
In the case of free fall, the acceleration due to gravity is considered, given by g =9.8 m/s2
Calculation:
Here, mass of the puck is 1-kg and the acceleration is 9.8 m/s2
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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