WAEC - Physics (2007 - No. 5)

A mass of mass m, experiences a viscous drag, F and an upthrust, U as he descends towards the ground at a steady velocity, Using a parachute. If the acceleration of free fall is g, which of the following expressions is correct?
FU = mg
U + F - mg = 0
U - F = mg
F - U - mg = 0

Explanation

The forces acting on the mass include:

Weight: W = mg (downward)
Upthrust: U (upward)
Viscous Drag: F (upward)

Since the mass is descending at a steady velocity, the net force acting on it is zero. This means that the upward forces (upthrust and viscous drag) balance the downward force (weight): mg = U + F = U + F - mg = 0

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