Answer:
4.9612 s
Explanation:
Applying,
T = 2π√(L/g)............... Equation 1
Where T = period of the pendulum, L = Lenght of the pendulum, g = acceleration due to gravity of the moon, π = pie.
From the question,
Given: L = 1 m, g = 1.6 m/s²
Constant: π = 3.14
Substitute these values into equation 1
T = 2×3.14×√(1/1.6)
T = 6.28√(0.625)
T = 6.28×0.79
T = 4.9612 s
Answer:
5. 9GmM/(10R)
Explanation:
m is the mass of the satellite
M is the mass of the earth
W is the energy required to launch the satellite
Energy at earth surface = Potential energy (PE) + W
W = Energy at earth surface - Potential energy (PE)
But PE = ![-\frac{GMm}{R}](https://tex.z-dn.net/?f=-%5Cfrac%7BGMm%7D%7BR%7D)
Therefore: W = Energy at earth surface - ![\frac{GMm}{R}](https://tex.z-dn.net/?f=%5Cfrac%7BGMm%7D%7BR%7D)
Energy at earth surface (E) at an altitude of 5R = ![-\frac{GMm}{5r} +\frac{1}{2}mV^2](https://tex.z-dn.net/?f=-%5Cfrac%7BGMm%7D%7B5r%7D%20%2B%5Cfrac%7B1%7D%7B2%7DmV%5E2)
But ![V=\sqrt{\frac{GM}{5R} }](https://tex.z-dn.net/?f=V%3D%5Csqrt%7B%5Cfrac%7BGM%7D%7B5R%7D%20%7D)
Therefore: ![E=-\frac{GMm}{5R}+\frac{1}{2}m(\sqrt{\frac{GM}{5R} } )^2= -\frac{GMm}{5R}+\frac{GMm}{10R} = -\frac{GMm}{10R}](https://tex.z-dn.net/?f=E%3D-%5Cfrac%7BGMm%7D%7B5R%7D%2B%5Cfrac%7B1%7D%7B2%7Dm%28%5Csqrt%7B%5Cfrac%7BGM%7D%7B5R%7D%20%7D%20%29%5E2%3D%20%20-%5Cfrac%7BGMm%7D%7B5R%7D%2B%5Cfrac%7BGMm%7D%7B10R%7D%20%20%3D%20-%5Cfrac%7BGMm%7D%7B10R%7D)
W = E - PE
![W=-\frac{GMm}{10R}-(-\frac{GMm}{R})=-\frac{GMm}{10R}+\frac{GMm}{R}=\frac{9GMm}{10R} \\W=\frac{9GMm}{10R}](https://tex.z-dn.net/?f=W%3D-%5Cfrac%7BGMm%7D%7B10R%7D-%28-%5Cfrac%7BGMm%7D%7BR%7D%29%3D-%5Cfrac%7BGMm%7D%7B10R%7D%2B%5Cfrac%7BGMm%7D%7BR%7D%3D%5Cfrac%7B9GMm%7D%7B10R%7D%20%5C%5CW%3D%5Cfrac%7B9GMm%7D%7B10R%7D)
This behavior helps Betty in <u>intellectual </u>development.
Answer:
the answer is that the dough has the same mass before and after it was flattened