The spring constant is 181.0 N/m
Explanation:
We can solve the problem by applying the law of conservation of energy. In fact, the elastic potential energy initially stored in the compressed spring is completely converted into gravitational potential energy of the dart when the dart is at its maximum height. Therefore, we can write:
where the term on the left represents the elastic potential energy of the spring while the term on the right is the gravitational potential energy of the dart at maximum height, and where
k is the spring constant of the spring
x = 2.08 cm = 0.0208 m is the compression of the spring
m = 12.3 g = 0.00123 kg is the mass of the dart
is the acceleration due to gravity
h = 3.25 m is the maximum height of the dart
Solving for k, we find:
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Answer:
Protons and neutrons are heavy, Electrons are extremely light
Explanation:
Protons and neutrons are heavier than electrons and reside in the nucleus at the center of the atom. Electrons are extremely lightweight and exist in a cloud orbiting the nucleus.
Quantity of charge unloaded = 51.9 Coulombs
Potential difference = 10.93 megavolts = 1.093 x 10⁷ volts
1 volt = 1 joule per coulomb
1.093 x 10⁷ volts = 1.093 x 10⁷ joules per coulomb
Energy = (1.093 x 10⁷ J/C) x (51.9 C)
Energy = 567.267 megaJoules
That's <em>5.67 x 10⁸ Joules</em> .
==> My wife's blow-dryer is marked 1260 watts.
If the energy in this lightning strike could be collected, bottled, stored, and used as needed, it could run my wife's blow-dryer for 125 hours. That would save us more than $30 on our electric bill !
There are six distinct changes of phase which happens to different substances at different temperatures. ... Sublimation: the substance changes directly from a solid to a gas without going through the liquid phase. Deposition: the substance changes directly from a gas to a solid without going through the liquid phase.
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<span>Answer:
F=GMm/r^2 where G is the newtonian grav cst, M the mass of the star, m the mass of the planet, and r the planet-star distance
F1=GMm1/r1^2
F2=GMm2/r^2
F2/F1 = [GMm2/r2^2]/[GMm1/r1^2]
F2/F1=(m2/m1)(r1/r2)^2 = (2)(1/2)^2 = 1/2
because m2/m1=2 and r2/r1=2</span>