I will name block a as Ma=5 kg, block b as Mb=10 kg and mass of the pulley M=3 kg and radius as R. Since the system will accelerate in the direction of the block b because it has greater mass, I will take that direction as positive. Both blocks and the pulley have the same acceleration because the slipping on the pulley is neglected. First, the equations of motion:
Mb*g-Tg=MbαR and
Ta-Ma*g=MaαR,
where Ta and Tb are the tensions of the cord, g=9.81 m/s^2 and α is the angular accereration. Also a=αR where a is the acceleration of the system.
Now the equation of rotational dynamics of a solid body:
(Tb-Ta)R=Iα=(1/2)*M*R^2*α, where (1/2)*M*R^2 is the moment of inertia of a disc.
When we input Tb=Mb*g - Mb*α*R and Ta=Ma*g + Ma*α*R from the first two equations into the third we get: (Mb*g - Mb*α*R - Ma*α*R - Ma*g)*R=(1/2)*M*R^2*α.
We solve for α and get: α=(Mb*g-Ma*g)/((1/2)*MR+Mb*R+Ma*R)=2.97 rad/s^2.
We know that a=α*R and we easily get a=0.4455 m/s^2
Answer:
1.38 x 10^-18 J
Explanation:
q = - 1.6 x 10^-19 C
d = 5 x 10^-10 m
the potential energy of the system gives the value of work done
The formula for the potential energy is given by
![U =\frac{Kq_{1}q_{2}}{d}](https://tex.z-dn.net/?f=U%20%3D%5Cfrac%7BKq_%7B1%7Dq_%7B2%7D%7D%7Bd%7D)
So, the total potential energy of teh system is
![U =\frac{Kq_{1}q_{2}}{d}+\frac{Kq_{2}q_{3}}{d}+\frac{Kq_{1}q_{3}}{d}](https://tex.z-dn.net/?f=U%20%3D%5Cfrac%7BKq_%7B1%7Dq_%7B2%7D%7D%7Bd%7D%2B%5Cfrac%7BKq_%7B2%7Dq_%7B3%7D%7D%7Bd%7D%2B%5Cfrac%7BKq_%7B1%7Dq_%7B3%7D%7D%7Bd%7D)
As all the charges are same and the distance between the two charges is same so the total potential energy becomes
![U =3\times \frac{Kq^{2}}{d}](https://tex.z-dn.net/?f=U%20%3D3%5Ctimes%20%5Cfrac%7BKq%5E%7B2%7D%7D%7Bd%7D)
K = 9 x 10^9 Nm^2/C^2
By substituting the values
![U =3\times \frac{9\times 10^{9}\times \ 1.6 \times 1.6 \times 10^{-38}}{5\times 10^{-10}}](https://tex.z-dn.net/?f=U%20%3D3%5Ctimes%20%5Cfrac%7B9%5Ctimes%2010%5E%7B9%7D%5Ctimes%20%5C%201.6%20%5Ctimes%201.6%20%5Ctimes%2010%5E%7B-38%7D%7D%7B5%5Ctimes%2010%5E%7B-10%7D%7D)
U = 1.38 x 10^-18 J
Radiation - it travels in all directions so when you place your hands above a fire radiation hits your hand and reveals to ur cells where they transfer that hear into electrical signals, making you feel heated
<span>The answer is Solar radiation. This </span>is scattered to produce the blue color of cloud-free skies. <span>A clear cloudless day-time sky is blue because molecules in the air scatter blue light from the sun more than they scatter red light. </span>
A prism is a piece of glass or plastic in the shape of a triangle. A prism works because the different colors of light travel at different speeds inside the glass. Because the colors of light travel at different speeds, they get bent by different amounts and come out all spread out instead of mixed up.
Refraction is the bending of a wave when it enters a medium where its speed is different. The refraction of light when it passes from a fast medium to a slow medium bends the light ray toward the normal to the boundary between the two media. Refraction is responsible for image formation by lenses and the eye.