The sum of the kinetic and potential energies of a system of objects is conserved only when no external force acts on the objects.
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Conservation of mechanical energy</h3>
The principle of conservation of mechanical energy states that the total mechanical energy of an isolated system (absence of external force) is always constant.
M.A = P.E + K.E
where;
P.E is potential energy
K.E is kinetic energy
Thus, the sum of the kinetic and potential energies of a system of objects is conserved only when no external force acts on the objects.
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The mass of an object has no effect whatsoever on the object's
acceleration during free-fall. If there is no air resistance to interfere
with the natural effects of gravity, then a feather and a battleship ...
dropped at the same time ... fall together, and hit the ground at the
same time.
The question is missing alternatives. Here is the complete question.
An infrared spectrometer on Dawn found something unexpected on Ceres's surface. Its presence suggested that Ceres might have formed farther from the Sun, or been impacted by objects from a more-distant part of the solar system. What was this finding?
1. The fact that Ceres is covered with small dark particles that appear identical to the composition of Uranus's rings.
2. The presence of a thick cloud layer made of sulfuric acid, similar to what is observed at Venus.
3. The presence of clay-like minerals with ammonia bound up in them.
4. The infrared spectrum of Ceres's surface is essentially identical to that of most objects in the Kuiper Belt.
Answer: 3. The presence of clay-like minerals with ammonia bound up in them.
Explanation: The discovery of ammonia clay-like minerals in Ceres is surprising because it would be encoutered in planets that are far from the Sun, since ammonia requires colder temperatures, which is found beyond Jupiter's orbit, to condense. This finding can ascertain not only the origins of the dwarf planet as how the solar system was formed, were organized and evolved, because understanding where smaller planets are formed is important to determine their destiny.
Answer:
A. a = 814.815 ft/s^2.
B. Distance, S = 320 ft.
Explanation:
Equations of motion
i. vf = vi + a*t
ii. S = vi*t + 1/2*(a*t)
iii. vf^2 = vi^2 + 2a*S
Given:
vi = 0 ft/s
vf = 1000 miles/hr
t = 1.8 s
g = 32 ft/ s2
Converting miles/hr to ft/s,
1 mile = 5280 ft
Also, 1 hr = 60 mins * 60s
= 3600 s
Therefore, 1000 miles/hr * 5280 ft/1 mile * 1 hr/3600 s
= 1466.7 ft/s.
A.
Using the i. Equation of motion,
1466.7 = 0 + a*1.8
a = 814.815 ft/s^2
Comparing a to g,
a = (814.815/32) * g
= 25.46 g
B.
Using the ii. Equation of motion,
S = 1/2 * (814.815) * (1.8)^2
= 1320 ft.