- #1
Staerke
- 12
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Hey all, I'm an idiot when it comes to algebra/physics/anything with numbers so you'll probably be seeing me around a lot until the end of the semester, but I'll try to lend aid when I can
Anyway, this is what I've got:
A 0.267 kg ball is thrown straight up from 2.33 m above the ground. Its initial vertical speed is 12.00 m/s. A short time later, it hits the ground. Calculate the total work done by the force of gravity during that time.
Force due to gravity = m * g
Height of trajectory = V^2 / 2 * g
Force = mass * distance (No Cos(theta) here because it's a straight up and down trajectory, right?)
So, I figured the force of gravity working on the ball:
F = mg = 2.62 N = .267 * 9.81
Trajectory height = V^2 / 2 * g = 7.74866 = 12.33^2/(2*9.81)
Then I added 2.33 to the (7.75*2) (that's the distance up and down) which ended up being 17.83
Then used Force = Mass * Distance to get 46.689 Joules for an answer and apparently it's wrong, and I have no clue what to do.
I'm sure there's just a hole in my logic somewhere. Thanks for any help.
Anyway, this is what I've got:
Homework Statement
A 0.267 kg ball is thrown straight up from 2.33 m above the ground. Its initial vertical speed is 12.00 m/s. A short time later, it hits the ground. Calculate the total work done by the force of gravity during that time.
Homework Equations
Force due to gravity = m * g
Height of trajectory = V^2 / 2 * g
Force = mass * distance (No Cos(theta) here because it's a straight up and down trajectory, right?)
The Attempt at a Solution
So, I figured the force of gravity working on the ball:
F = mg = 2.62 N = .267 * 9.81
Trajectory height = V^2 / 2 * g = 7.74866 = 12.33^2/(2*9.81)
Then I added 2.33 to the (7.75*2) (that's the distance up and down) which ended up being 17.83
Then used Force = Mass * Distance to get 46.689 Joules for an answer and apparently it's wrong, and I have no clue what to do.
I'm sure there's just a hole in my logic somewhere. Thanks for any help.