187k views
5 votes
A downward moving skydiver is falling with a constant speed, which is the correct fbd

User Arsh Singh
by
7.9k points

1 Answer

1 vote

When a skydiver is falling with a constant speed, it means that the net force acting on the skydiver is zero. The free body diagram is attached below

When a skydiver is falling with a constant speed, it means that the net force acting on the skydiver is zero. Here is the explanation:

1. Gravity (Weight) Downward
(\(W\)):

- This force is always present and acts vertically downward.

- It is equal to the product of the mass
(\(m\)) and acceleration due to gravity
(\(g\)).

-
\( W = m \cdot g \)

2. Air Resistance (Drag) Upward
(\(D\)):

- As the skydiver falls at a constant speed, the air resistance force opposes the force of gravity.

- It acts vertically upward.

- At constant speed,
\(D\) is equal in magnitude to
\(W\) but opposite in direction.

3. Net Force (Zero):

- Since the skydiver is falling at a constant speed, the net force is zero.

- The forces of gravity and air resistance are balanced.

- The downward force
(\(W\)) is equal to the upward force
(\(D\)) at constant speed.

- The net force is zero, meaning there is no acceleration (constant speed).

- This scenario is often referred to as terminal velocity, where the force of gravity is balanced by the force of air resistance, resulting in a constant speed descent.

A downward moving skydiver is falling with a constant speed, which is the correct-example-1
User Steve Van Treeck
by
8.2k points