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Scilla [17]
3 years ago
8

Two band members are marching toward each other beginning from opposite end zone goal lines (100 yards apart). One band member i

s playing a picolo and marching at 5 ft/s and the other is playing a sousaphone and marching at 1 ft/s. At what yard line do they meet?​
Physics
1 answer:
Stella [2.4K]3 years ago
3 0

Answer:

17

Explanation:

answer is 16.6666 which is equal to 17

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Here in this case we can use work energy theorem

As per work energy theorem

Work done by all forces = Change in kinetic Energy of the object

Total kinetic energy of the solid sphere is ZERO initially as it is given at rest.

Final total kinetic energy is sum of rotational kinetic energy and translational kinetic energy

KE = \frac{1}{2}Iw^2 +\frac{1}{2} mv^2

also we know that

I = \frac{2}{5}mR^2

w= \frac{v}{R}

Now kinetic energy is given by

KE = \frac{1}{2}(\frac{2}{5}mR^2)w^2 +\frac{1}{2} m(Rw)^2

KE = \frac{1}{5}mR^2w^2 +\frac{1}{2} mR^2w^2

KE = \frac{7}{10}mR^2w^2

KE = \frac{7}{10}*150*(0.200)^2(50)^2

KE = 10500 J

Now by work energy theorem

Work done = 10500 - 0 = 10500 J

So in the above case work done on sphere is 10500 J

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