To increase the number of snowmen destroyed, you would want more energy and all of the above would increase the energy of the system so D.
Answer:
(for small oscillations)
Explanation:
The total energy of the pendulum is equal to:
![E_{1} = m\cdot g \cdot (1-\cos \theta)\cdot L](https://tex.z-dn.net/?f=E_%7B1%7D%20%3D%20m%5Ccdot%20g%20%5Ccdot%20%281-%5Ccos%20%5Ctheta%29%5Ccdot%20L)
For small oscillations, the equation can be re-arranged into the following form:
![E_{1} \approx m\cdot g \cdot (1-\theta) \cdot L](https://tex.z-dn.net/?f=E_%7B1%7D%20%5Capprox%20m%5Ccdot%20g%20%5Ccdot%20%281-%5Ctheta%29%20%5Ccdot%20L)
Where:
, measured in radians.
If the amplitude of pendulum oscillations is increase by a factor of 4, the angle of oscillation is
and the total energy of the pendulum is:
![E_{2} \approx m\cdot g \cdot (1-4\theta)\cdot L](https://tex.z-dn.net/?f=E_%7B2%7D%20%5Capprox%20m%5Ccdot%20g%20%5Ccdot%20%281-4%5Ctheta%29%5Ccdot%20L)
The factor of change is:
![\frac{E_{2}}{E_{1}} \approx \frac{1 - 4\theta}{1-\theta}](https://tex.z-dn.net/?f=%5Cfrac%7BE_%7B2%7D%7D%7BE_%7B1%7D%7D%20%5Capprox%20%5Cfrac%7B1%20-%204%5Ctheta%7D%7B1-%5Ctheta%7D)
![\frac{E_{2}}{E_{1}} \approx 1 -\frac{3\theta}{1-\theta}](https://tex.z-dn.net/?f=%5Cfrac%7BE_%7B2%7D%7D%7BE_%7B1%7D%7D%20%5Capprox%201%20-%5Cfrac%7B3%5Ctheta%7D%7B1-%5Ctheta%7D)
Answer: 68852 millijoules = 16.46 calories
Explanation:
Given;
Convert 68852 millijoules to calories.
1 calorie = 4.184J = 4184millijoules
Therefore,
1 millijoule = 1/4184 calories
68852 millijoule = 68852 × 1/4184 calories
= 16.46 calories
The answer is going to be B