Answer:
B. A object in motion stays in motion, and an object at rest stays at rest unless acted upon by a net force.
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:
The magnitude of the magnetic field made by current in the wire is 3.064 x 10⁻⁶ T.
Explanation:
Given;
length of the straight wire, L = 0.56 m
conventional current, I = 0.4 A
distance of magnetic field from the wire, r = 2.6 cm = 0.026 m
To determine magnitude of magnetic field made by current in the wire, we will apply Bio-Savart Law;
![B = \frac{\mu_o}{4\pi r} \frac{LI}{\sqrt{r^2 +(L/2)^2} } \\\\B = \frac{4\pi *10^{-7}}{4\pi *0.026} \frac{0.56*0.4}{\sqrt{(0.026)^2 +(0.56/2)^2} }\\\\B = 3.846*10^{-6}(0.7966)\\\\B = 3.064*10^{-6} \ T](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B%5Cmu_o%7D%7B4%5Cpi%20r%7D%20%5Cfrac%7BLI%7D%7B%5Csqrt%7Br%5E2%20%2B%28L%2F2%29%5E2%7D%20%7D%20%5C%5C%5C%5CB%20%3D%20%5Cfrac%7B4%5Cpi%20%2A10%5E%7B-7%7D%7D%7B4%5Cpi%20%2A0.026%7D%20%5Cfrac%7B0.56%2A0.4%7D%7B%5Csqrt%7B%280.026%29%5E2%20%2B%280.56%2F2%29%5E2%7D%20%7D%5C%5C%5C%5CB%20%3D%203.846%2A10%5E%7B-6%7D%280.7966%29%5C%5C%5C%5CB%20%3D%203.064%2A10%5E%7B-6%7D%20%5C%20T)
Therefore, the magnitude of the magnetic field made by current in the wire is 3.064 x 10⁻⁶ T.
Vector ' W ' best and there ya go
Thunder is evidence of electric fields in the atmosphere.
The charge difference between the clouds and earth can be described as parallel conducting plates that produce electric fields in the atmosphere.
could be true