Answer:
1. Thermal Energy is the internal energy that is produced from the temperature of a heated substance/object.
2. From the potato to the soup and from the soup to the surrounding room
Explanation:
1. When an object or substance is heated it causes a rise in temperature which makes the atoms and molecules within the object move/vibrate faster and collide with each other. This kinetic energy energy comes from the temperature of the object being heated and is the thermal energy.
2. The atoms present in a hot object have higher kinetic energy when compared to a colder object and usually flow towards the colder object. This is why it is possible for the hot potato whose temperature is higher than the bowl of soup to flow towards the soup and from the soup to the surrounding room.
To solve this problem we will apply the principle of energy conservation. Here we have that the gravitational potential energy must be equal to the kinetic energy of the body. So,
![PE = KE](https://tex.z-dn.net/?f=PE%20%3D%20KE)
![\frac{GMm}{R} = \frac{1}{2} mv^2](https://tex.z-dn.net/?f=%5Cfrac%7BGMm%7D%7BR%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20mv%5E2)
Here,
m = mass of projectile
G = Gravitational Universal constant
M = Mass of the planet
R = Total height from center of mass of the planet
v = Velocity
Rearraning to find the velocity we have,
![\frac{GM}{R} = \frac{1}{2} v^2](https://tex.z-dn.net/?f=%5Cfrac%7BGM%7D%7BR%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20v%5E2)
![v = \sqrt{2\frac{GM}{R}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B2%5Cfrac%7BGM%7D%7BR%7D%7D)
Our values are given as,
![M = 2*10^{24} kg](https://tex.z-dn.net/?f=M%20%3D%202%2A10%5E%7B24%7D%20kg)
![r = 7*10^6 m](https://tex.z-dn.net/?f=r%20%3D%207%2A10%5E6%20m)
![h = 6*10^6 m](https://tex.z-dn.net/?f=h%20%3D%206%2A10%5E6%20m)
![R = h+r = 13*10^6m](https://tex.z-dn.net/?f=R%20%3D%20h%2Br%20%3D%2013%2A10%5E6m)
![G = 6.67259*10^{-11} N\cdot m^2/kg^2](https://tex.z-dn.net/?f=G%20%3D%206.67259%2A10%5E%7B-11%7D%20N%5Ccdot%20m%5E2%2Fkg%5E2)
Replacing we have,
![v = \sqrt{2\frac{(6.67259*10^{-11})(2*10^{24})}{13*10^6}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B2%5Cfrac%7B%286.67259%2A10%5E%7B-11%7D%29%282%2A10%5E%7B24%7D%29%7D%7B13%2A10%5E6%7D%7D)
![v = 4531.12m/s](https://tex.z-dn.net/?f=v%20%3D%204531.12m%2Fs)
Therefore the initial speed of the projectile must be 4531.12m/s
A . Thermal
Thermal Energy, or heat, is the internal energy in substance the vibration & movement of the atoms & molecules within substances. Geothermal energy is an example of thermal energy.
Answer: The work done is 245000 J.
Explanation:
The formula for the force due to the weight of the object is as follows;
Here, m is the mass of the object and g is the acceleration due to gravity.
Put m=500 kg and g=9.8 meter per second.
The formula for the work done is as follows;
Here, F is the force and s is the displacement.
Put F=4900 N and s=50.0 m.
Therefore, the work done is 245000 J.
Answer:
The maximum angle does not depend on the mass
Explanation:
This is because In as much as the force acting on the normal which is the the maximum force of static friction increases as the mass increases, the component of the force of gravity parallel to the ramp increases at the same rate. Thus The maximum angle is independent of the mass.