Answer:
Efficiency = 71%
Explanation:
Given the following data:
Output energy = 250 Joules
Input energy = 350 Joules
To find efficiency;
Substituting into the equation, we have;
![Efficiency = \frac {250}{350} * 100](https://tex.z-dn.net/?f=%20Efficiency%20%3D%20%5Cfrac%20%7B250%7D%7B350%7D%20%2A%20100%20)
Efficiency = 71.43 ≈ 71%
Therefore, the efficiency of the candle is 71 percent.
Answer:
a)
= 4.67m/s
b) V = 8.29 m/s
Explanation:
Givens:
The bullet is 5.30g moving at 963m/s and its speed reduced to 426m/s. The wooden block is 610g.
a) From conservation of linear momentum
Pi = Pf
![m_{b}V{b_{i} } + V_{wi} = m_{w} V_{wf} + m_{b}V_{bf}](https://tex.z-dn.net/?f=m_%7Bb%7DV%7Bb_%7Bi%7D%20%7D%20%20%2B%20V_%7Bwi%7D%20%20%3D%20m_%7Bw%7D%20V_%7Bwf%7D%20%2B%20m_%7Bb%7DV_%7Bbf%7D)
where
are the mass and the initial velocity of the bullet,
and
are the mass and the initial velocity of the wooden block, and
and
are the final velocities of the wooden block and the bullet
The wooden block is initial at rest
this yields
![m_{b}V{b_{i} } = m_{w} V_{wf} + m_{b}V_{bf}](https://tex.z-dn.net/?f=m_%7Bb%7DV%7Bb_%7Bi%7D%20%7D%20%20%3D%20m_%7Bw%7D%20V_%7Bwf%7D%20%2B%20m_%7Bb%7DV_%7Bbf%7D)
By solving for
adn substitute the givens
= ![\frac{m_{b}V_{bi} - m_{b} V_{bf} }{m_{W} }](https://tex.z-dn.net/?f=%5Cfrac%7Bm_%7Bb%7DV_%7Bbi%7D%20-%20m_%7Bb%7D%20V_%7Bbf%7D%20%20%20%20%7D%7Bm_%7BW%7D%20%7D)
= ![\frac{5.3(g)(963(m/s)-426(m/s) }{610(g)}](https://tex.z-dn.net/?f=%5Cfrac%7B5.3%28g%29%28963%28m%2Fs%29-426%28m%2Fs%29%20%7D%7B610%28g%29%7D)
= 4.67m/s
b) The center of mass speed is defined as
![V = \frac{m_{b} }{m_{b}+m_{w} } V_{bi}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7Bm_%7Bb%7D%20%7D%7Bm_%7Bb%7D%2Bm_%7Bw%7D%20%7D%20V_%7Bbi%7D)
substituting:
![V = \frac{5.3(g)}{5.3(g)+610(g)} X 963(m/s)](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B5.3%28g%29%7D%7B5.3%28g%29%2B610%28g%29%7D%20X%20963%28m%2Fs%29)
V = 8.29 m/s
B. The number of coils of wire around the core
Answer:
41.1 ÷ 40.0
Explanation:
Did you learn about Newton
Answer:
They affected ocean levels, causing waves to affect different areas of the coastline at different times. Lake Eola is a sinkhole lake.