Wood block coeffiecent of friction

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SUMMARY

The discussion focuses on calculating the distance a wooden block travels up an incline and its speed upon returning, given a coefficient of friction of 0.3 and an initial speed of 6 m/s on a 25-degree slope. The calculations involve applying Newton's second law and energy conservation principles, leading to a distance of approximately 2.52 meters up the incline and a height of 1.065 meters. The energy approach without friction yields a height of 1.83 meters, highlighting the significant impact of friction on the block's motion.

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Frosty_TAW
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I also need help with this problem, it involves energy and i just can't crack the problem by using what i know, i can't even start it, so here it is:
A wooden Block whose intitial speed is 6 m/s starts to slide up an incline plane at 25 degrees above the horizontal.
a)if the coeffiecent of friction is .3 how far up the plane does the block go?
b) what will be the blocks speed after it has slid back down the plane to its starting point?
 
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a)the energy way is this but i think that assumes no friction
[tex]\frac{v^2}{2g} = h[/tex]

u have to add up all the forces on the block [tex]|ma| = |F_g + F_f + N|[/tex]
which if u know vectors i think gives...
[tex]a = 7.15 \frac{m}{s^2}[/tex] down the slope
so the block makes it v = v_0 + at, 0 = 6 - 7.15 t, t = 0.84s and therefore
x = 6(.84s) - 1/2 (7.15) (.84s)^2 = 2.52 m which is the hypotenus
h = 2.52m sin 25 = 1.065 m so you i put a lot of round off error so check it out
(the energy equation yeilds h = 1.83 m so without the friction its off 58%!)

b) just make sure u account for the friction on the way down
 
Last edited:
thanks man, that helps a lot
 

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