Answer:
4E
Explanation:
From the question given above, the following data were obtained:
Initial elongation (e₁) = 4 cm = 4/100 = 0.04 m
Initial energy (E₁) = E
Final elongation (e₂) = 0.04 + 0.04 = 0.08 m
Final energy (E₂) =?
The energy stored in a s spring is given by:
E = ½Ke²
Where
E => is the energy
K => is the spring constant
e => is the elongation
From:
E = ½Ke²
Energy is directly proportional to the elongation. Thus,
E₁/e₁² = E₂/e₂²
With the above formula, we can obtain the final energy as follow:
Initial elongation (e₁) = 0.04 m
Initial energy (E₁) = E
Final elongation (e₂) = 0.08 m
Final energy (E₂) =?
E₁/e₁² = E₂/e₂²
E / 0.04² = E₂ / 0.08²
E / 0.0016 = E₂ / 0.0064
Cross multiply
0.0016 × E₂ = 0.0064E
Divide both side by 0.0016
E₂ = 0.0064E / 0.0016
E₂ = 4E
Therefore, the final energy is 4 times the initial energy i.e 4E
Answer:
K = 109.1 N/m
Explanation:
From the question, the following parameters are given.
Extension e = 55 m
Force F = 6000N
According to Hooke's law,
F = Ke
Where K = spring constant.
Substitute F and e into the formula and make K the subject of formula.
6000 = K × 55
K = 6000/55
K = 109.1 N/m
Therefore, the spring constant of a bungee cord that stretches is 109.1 N/m
Answer:
Darwinism is a theory of biological evolution developed by the English naturalist Charles Darwin (1809–1882) and others, stating that all species of organisms arise and develop through the natural selection of small, inherited variations that increase the individual's ability to compete, survive, and reproduce.
Explanation:
The story sure is exciting. But when you're ready to work on answering the question, you can ignore everything before the assumptions.
-- When the pilot hit the snow, he was allegedly falling at 50 m/s.
-- His mass is 85 kg.
-- So his kinetic energy was (1/2) (mass) (speed squared) =
(1/2) (85) (50)² = <em>106,250 joules</em>
-- That's the energy that something else has to absorb in order to
reduce his speed to zero.
-- How far he fell, or what size crater he made in the snow, are irrelevant.