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Home Q & A Board Science-Related Homework Help Physics
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nzrodrigue nzrodrigue
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Posts: 131
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11 years ago
A 2kg ball is tossed upward with a velocity of 9m/s.  Find the maximum height if the force of air resistance on the ball is 6N,
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#1
11 years ago
Let:
R be the resistance force,
g be the acceleration due to gravity,
a be the downward acceleration of the ball,
m be the mass of the ball,
u be the initial uwpard velocity,
h be the height reached.

mg + R = ma
a = (mg + R) / m

0^2 = u^2 - 2ah
u^2 = 2(mg + R)h / m
h = mu^2 / [ 2(mg + R) ]
= 2 * 9^2 / [ 2(2 * 9.81 + 6) ]
= 3.16m to 3 sig. fig.
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