An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons. Calcuate the acceleration
1 answer:
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Answer:
v = 6.3 m/s
Explanation:
- Since no significant air resistance exists, total mechanical energy must be kept constant at any time.
- At the top of the cliff, all the energy is gravitational potential energy, as follows:
- If we choose the ground level as our zero reference level for the gravitational potential energy, Ui is simply:
- Ui = m*g*h (1)
- At any height, the sum of the kinetic and the gravitational potential energy must be equal to (1).
- We know from the question, that at the point of interest, both types of energies must be equal each other, so we can write the following expression from (1):
- Dividing both sides by m, simplifying, and solving for v, we get:
- v = 6.3 m/s (with two significative figures)