Answer:
![v=3.33 m/s](https://tex.z-dn.net/?f=v%3D3.33%20m%2Fs)
Explanation:
We can use the conservation of energy here.
The solid cylinder has a gravitational energy at the top of the plane and kinetic energy at the end of the plane. Let's remember that the cylinder has kinetic energy due to the transnational movement and kinetic energy due to the rotational movement.
(1)
We know that ω=v/R and the moment of inertia around the central axis of a solid cylinder is I=(1/2)mR².
Now, we can rewrite (1) using the above definitions:
![mgh=\frac{1}{2}mv^{2}+\frac{1}{2}(\frac{1}{2}mR^{2})(\frac{v}{R})^{2}](https://tex.z-dn.net/?f=mgh%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B1%7D%7B2%7DmR%5E%7B2%7D%29%28%5Cfrac%7Bv%7D%7BR%7D%29%5E%7B2%7D)
![mgh=\frac{1}{2}mv^{2}+\frac{1}{4}mv^{2}](https://tex.z-dn.net/?f=mgh%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B4%7Dmv%5E%7B2%7D)
![mgh=\frac{3}{4}mv^{2}](https://tex.z-dn.net/?f=mgh%3D%5Cfrac%7B3%7D%7B4%7Dmv%5E%7B2%7D)
So we can solve it for v:
(2)
Using the length and the angle we can find the height of the inclined plane.
![sin(\theta)=h/a](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3Dh%2Fa)
In our case:
- θ is 25°
- h is the height
- a is 2 meters
![h=a\cdot sin(\theta)=2sin(25)=0.85 m](https://tex.z-dn.net/?f=h%3Da%5Ccdot%20sin%28%5Ctheta%29%3D2sin%2825%29%3D0.85%20m)
Finally, we put the value of h on (2) and find the speed next.
![v=\sqrt{\frac{4}{3}(gh)}=\sqrt{\frac{4}{3}(9.81*0.85)}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7B4%7D%7B3%7D%28gh%29%7D%3D%5Csqrt%7B%5Cfrac%7B4%7D%7B3%7D%289.81%2A0.85%29%7D)
![v=3.33 m/s](https://tex.z-dn.net/?f=v%3D3.33%20m%2Fs)
I hope it helps you!
Answer:C
Explanation:
Radar waves will be useful to examine the surface of the planet.
Radio waves are the shorter wavelength microwaves ranging approximately 1 cm.
Short wavelength causes large reflection from large objects. These waves are useful to detect smaller objects like water drops in the cloud.
They can penetrate clouds and that is why they are used in weather forecasting, air traffic control, etc.
Answer:
hehe immm
Explanation:
i dont know because i am a big noon at stude if i dont study my mama gona use kuffu
Answer:
Option 3
Explanation:
O Option C is NEGATIVELY CHARGED, meaning it has GAINED ELECTRONS resulting in a GREATER number of ELECTRONS than PROTONS.
Answer:c
Explanation:
When the direction of current is towards the observer then the magnetic field around it will be in the form of concentric circles and its direction will be anti-clockwise when viewed from the observer side.
Whenever current is flowing in a current-carrying conductor then the magnetic field is associated with it and direction of the magnetic field is given by right-hand thumb rule according to which if thumb represents the direction of current then wrapping of fingers will give the direction of the magnetic field