Answer:
a)27.3N
b)150.78N
Explanation:
Having in mind the conservation of energy, as the monkey goes up (gaining potential gravitational energy) the kinetic energy must be reduced, so reducing the velocity of the monkey. So the maximum velocity will be at this lower point with a velocity of 1.36m/s
From this velocity and the radius we can calculate the angular velocity for the monkey center of mass:
![w=\frac{1.36m/s}{0.853m} =1.594 /s](https://tex.z-dn.net/?f=w%3D%5Cfrac%7B1.36m%2Fs%7D%7B0.853m%7D%20%3D1.594%20%2Fs)
with this we can calculate the centripetal force magnitude:
![F=m*w^{2} *r=12.6kg*(1.594/s)^{2} *0.853m=27.3N](https://tex.z-dn.net/?f=F%3Dm%2Aw%5E%7B2%7D%20%2Ar%3D12.6kg%2A%281.594%2Fs%29%5E%7B2%7D%20%2A0.853m%3D27.3N)
On the mokey center of mass we have two opposite forces acting, the tension of the arm and the weight, in order for the monkey to continue swinging the resolt of this two forces must be equal to the centripetal force:
![T-P=F=>T=F+P](https://tex.z-dn.net/?f=T-P%3DF%3D%3ET%3DF%2BP)
![T=27.3N+12.6kg*9.8m/s^{2}=150.78N](https://tex.z-dn.net/?f=T%3D27.3N%2B12.6kg%2A9.8m%2Fs%5E%7B2%7D%3D150.78N)
Answer:
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a). for velocity, you must have a number, a unit, and a direction.
Yes. This one isn't bad. The 'number' and the 'unit' are the speed.
b). the si units for velocity are miles per hour.
No. That's silly.
'miles' is not an SI unit, and 'miles per hour'
is only a speed, not a velocity.
c). the symbol for velocity is .
You can use any symbol you want for velocity, as long as
you make its meaning very clear, so that everybody knows
what symbol you're using for velocity.
But this choice-c is still wrong, because either it's incomplete,
or else it's using 'space' for velocity, which is a very poor symbol.
d). to calculate velocity, divide the displacement by time.
Yes, that's OK, but you have to remember that the displacement
has a direction, and so does the velocity.
Material medium electric waves