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dedylja [7]
3 years ago
14

A particle m is thrown vertically upward with an initial velocity v. Assuming a resisting medium proportional to the velocity, w

here the proportionality factor is c, calculate the velocity with which the particle will strike the ground upon its return if there is a uniform gravitational field.
Physics
1 answer:
m_a_m_a [10]3 years ago
8 0

Answer:v_0=v\sqrt{\frac{g-vc}{g+vc}}

Explanation:

Given

v=initial velocity

resisting acceleration =cv

also gravity is opposing the upward motion

Therefore distance traveled during upward motion

v^2_f-v^2=2as

Where a=cv+g

0-v^2=2(cv+g)s

s=\frac{v^2}{2(cv+g)}

Now let v_0 be the velocity at the ground

v^2_0-0=2(g-vc)s

substituting s value

v^2_0=v^2\frac{g-vc}{(cv+g)}

v_0=v\sqrt{\frac{g-vc}{g+vc}}

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