Explanation:
Remember how the pendulum swings back and forth. Along the path of the swing the pendulum mass gains height before swinging back down to the bottom and then back up again.
This motion is exchanging potential energy (stored) for kinetic energy (in motion).
Remember that for motion, potential energy is proportional to the height of an object. 
where z is the height, m is the mass, and g is the acceleration of gravity.
So when the pendulum mass is at its lowest point, it has converted all of the potential energy into kinetic energy.
The why is because it has fallen as far as the string will let it along its path of motion - thereby converting all the potential energy to kinetic energy.
Answer:
Approximate freezing level is at 5350 feet.
Explanation:
We know that the standard lapse rate equals 
per 1000 feet
and freezing occurs at a height where the temperature becomes equal to
Thus the standard equation of temperature at any height becomes
The constant 'c' can be obtained by using the boundary condition that at
h=1350 feet temperature equals 
Thus the height at which temperature becomes zero equals
Answer:
The center line temperature of the beam is 
Solution:
As per the question:
Diameter of the cylinder, D = 0.5 m
Radius of the cylinder, r' = 
Temperature, 
Initial temperature, 
Convection coefficient of heat flow, 
Time, t = 46 min
k = 
Now,
Biot no. is given by:
Now, Fourier no. is given by:
At 
, 
Now, using Heisler chart, the temperature of the beam is given by:
Answer:
m1 = the mass of the blue sphere = 5.8 kg
m2 = the mass of the red sphere = 2.5 kg
v1 = initial velocity of the blue sphere before the collision = 4.1 m/s
v2 = initial velocity of the red sphere before the collision = 0 m/s
v'1 = final velocity of the blue sphere after the collision = 1.3 m/s
v'2 = final velocity of the red sphere after the collision = ?
using conservation of momentum
m1v1 + m2v2 = m1v'1 + m2v'2
(5.8) (4.1) + (2.5) (0) = (5.8) (1.3) + (2.5) (v'2)
23.78 = 7.54 + (2.5) (v'2)
-7.54 -7.54
16.24 = (2.5) v'2
--------- -----------
2.5 2.5
v'2 = 6.5
Explanation:
The girl will hear an ECHO of the sounds that reach her,
(if she is standing more than about 50 feet from the wall).
