Tennis Tutor Ball
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Tennis Tutor ProLite w/battery ball machine |  |
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Tennis Tutor Ball
AP Physics. Help. Thumbs Up !?
I've been stuck on this one particular problem for about a couple of days now. I spent 5 hours with an online tutor and can't seem to figure it out. If you could help me, I'd greatly appreciate it. Thumbs up to anyone that helps.
Suppose the force acting on a tennis ball (mass 0.075 kg) points in the +x direction and is given by the graph of Fig. 7-30 as a function of time.
Figure : http://i154.photobucket.com/albums/s266/MszxCyndiix215/Graph.jpg
(a) Use a graphical method to estimate the total impulse given the ball.
______________ N·s
(b) Use a graphical method to estimate the velocity of the ball after being struck, assuming the ball is being served so it is nearly at rest initially.
_______________ m/s
I know that the graph is small, but that was what was given me. I'm sorry. Thanks in advance !
<< Use a graphical method to estimate the total impulse given the ball.>>
From the graph, the force of 200 N acts on the ball for 0.01 sec (0.06 - 0.05).
By definition,
Impulse = J = F(delta T)
J = 200(0.01) = 2 N-sec
<< Use a graphical method to estimate the velocity of the ball after being struck, assuming the ball is being served so it is nearly at rest initially. >>
The acceleration of the ball is given by
a = F/m (derived from Newton's 2nd Law of Motion's F = ma)
and knowing that
F =200 (from graph)
m = 0.075 (given)
then, substituting values
a = 200/0.075
a = 2667 m/sec^2
Calculating the velocity,
Vf - Vo = aT
where
Vf = velocity of ball after being struck
Vo = initial velocity of ball = 0
a = acceleration = 2667 (as determined above)
T = 0.01 (from graph)
Substituting values,
Vf - 0 = 2667 (0.01)
Vf = 26.67 m/sec.
Hope this helps.
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Tennis Tutor ProLite w/battery ball machine | |
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US $699.00 | 1d 22h 3m |
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Tennis Tutor w/ Heavy Duty Battery ball machine | |
0 Bid | US $600.00 | 5d 7h 7m |
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