Answer:
a) τ = 4.47746 * 10^25 N-m
b) E = 2.06301 * 10^13 J
c) P = 3.25511*10^21 W
Explanation:
Given:
- The radius of earth r = 6.3781×10^6 m
- The angular speed of earth w = 7.27*10^-5 rad/s
- The time taken to reach above speed t = 5 yrs = 1.57784760 * 10^8 s
- The mass of earth m = 5.972 × 10^24 kg
- The inertia of sphere I = 2/5 * m* r^2
Solution:
- The angular acceleration of the earth from rest to w is given by α:
α = w / t
α = (7.27*10^-5) / (1.57784760 * 10^8)
α = 4.60754*10^-13 rad/s^2
- The required torque τ is given by:
τ = I*α
τ = 2/5 * m* r^2 * α
τ = 2/5 *(5.972 × 10^24) * (6.3781×10^6)^2 * (4.60754*10^-13)
τ = 4.47746 * 10^25 N-m
- The power required P to turn the earth to the speed w is:
P = τ*w
P = (4.47746 * 10^25)*(7.27*10^-5)
P = 3.25511*10^21 W
- The energy E required is :
E = P / t
E = (3.25511*10^21) / (1.57784760 * 10^8)
E = 2.06301 * 10^13 J
In solids, the atoms are closely bound to each other. The only movement possible for the atoms in this state of matter is vibration. Solids have a fixed shape. Therefore when they are put in a container, the solids remain in their initial shape.
In liquids, the atoms are loosely bound compared to atoms in solid. And the atoms are free to vibrate and to slide past each other. The liquids have fixed volume but have no fixed shape. Therefore, when they are poured into a container, their volume will be the same, but the liquid will take the shape of the container.
In gas, the atoms are very loosely bound. and the atoms are very free to vibrate and move through space. Gases do not have either fixed volume or a fixed shape. Therefore, when they are poured into a container they take the volume and the shape of the container.
You would end up with a brown/black color depending on how much of each pigment was added! Hope this helps.
Shock waves music sound sonic boom
Answer:
2621.25 meters
Explanation:
First, write down what we are given.
Initial velocity = 27.5 m/s
Final velocity = 42.4 m/s
Time = 75 seconds
We need to look at the kinematic equations and determine which one will be best. In this case, we need an equation with distance. I am going to use 
, but you can also use the other equation, 
We need to find acceleration. To find it, we need to use the formula for acceleration: 
. Plugging in values, 
Next, plug in what we know into the kinematics equation and solve for distance. 
