Answer:
Part a)
![\theta = 8.05 degree](https://tex.z-dn.net/?f=%5Ctheta%20%3D%208.05%20degree)
Part b)
![a = 1.37 m/s^2](https://tex.z-dn.net/?f=a%20%3D%201.37%20m%2Fs%5E2)
Explanation:
As the uniform sphere is rolling down the inclined plane then the net force on the sphere is given as
![mg sin\theta - F_f = ma](https://tex.z-dn.net/?f=mg%20sin%5Ctheta%20-%20F_f%20%3D%20ma)
also we have torque equation on it
![F_f R = I\alpha](https://tex.z-dn.net/?f=F_f%20R%20%3D%20I%5Calpha)
for pure rolling
![a = R \alpha](https://tex.z-dn.net/?f=a%20%3D%20R%20%5Calpha)
![F_f = \frac{Ia}{R^2}](https://tex.z-dn.net/?f=F_f%20%3D%20%5Cfrac%7BIa%7D%7BR%5E2%7D)
now we have
![mg sin\theta = ma + \frac{Ia}{R^2}](https://tex.z-dn.net/?f=mg%20sin%5Ctheta%20%3D%20ma%20%2B%20%5Cfrac%7BIa%7D%7BR%5E2%7D)
now we have
![mg sin\theta = (m + \frac{2}{5}m)a](https://tex.z-dn.net/?f=mg%20sin%5Ctheta%20%3D%20%28m%20%2B%20%5Cfrac%7B2%7D%7B5%7Dm%29a)
![a = \frac{5}{7}g sin\theta](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B5%7D%7B7%7Dg%20sin%5Ctheta)
now given that
![a = 0.10 g](https://tex.z-dn.net/?f=a%20%3D%200.10%20g)
so we have
![0.10 g = \frac{5}{7} g sin\theta](https://tex.z-dn.net/?f=0.10%20g%20%3D%20%5Cfrac%7B5%7D%7B7%7D%20g%20sin%5Ctheta)
![sin\theta = 0.14](https://tex.z-dn.net/?f=sin%5Ctheta%20%3D%200.14)
![\theta = 8.05 degree](https://tex.z-dn.net/?f=%5Ctheta%20%3D%208.05%20degree)
Part b)
If the inclined plane is frictionless then the acceleration is given as
![a = g sin\theta](https://tex.z-dn.net/?f=a%20%3D%20g%20sin%5Ctheta)
![a = 9.8(0.14)](https://tex.z-dn.net/?f=a%20%3D%209.8%280.14%29)
![a = 1.37 m/s^2](https://tex.z-dn.net/?f=a%20%3D%201.37%20m%2Fs%5E2)
I am pretty sure that electromagnetic Induction states that moving a magnet through a loop of wire creates B. magnetic field. I consider this option to be correct because according to lenz's law <span>conductor moves through loop and to be more exact in this case through a magnetic field. I hope it help!</span>
The final temperature of the seawater-deck system is 990°C.
<h3>What is heat?</h3>
The increment in temperature adds up the thermal energy into the object. This energy is Heat energy.
The deck of a small ship reaches a temperature Ti= 48.17°C seawater on the deck to cool it down. During the cooling, heat Q =3,710,000 J are transferred to the seawater from the deck. Specific heat of seawater= 3,930 J/kg°C.
Suppose for 1 kg of sea water, the heat transferred from the system is given by
3,710,000 = 1 x 3,930 x (T - 48.17)
T = 990°C to the nearest tenth.
The final temperature of the seawater-deck system is 990°C.
Learn more about heat.
brainly.com/question/13860901
#SPJ1
High density
random words to fill up 20 character minimum for answering questions :P
If you were given distance & period of time, you would be able to calculate the speed.
Hope this helps!