Answer:
0.3 m
Explanation:
Initially, the package has both gravitational potential energy and kinetic energy. The spring has elastic energy. After the package is brought to rest, all the energy is stored in the spring.
Initial energy = final energy
mgh + ½ mv² + ½ kx₁² = ½ kx₂²
Given:
m = 50 kg
g = 9.8 m/s²
h = 8 sin 20º m
v = 2 m/s
k = 30000 N/m
x₁ = 0.05 m
(50)(9.8)(8 sin 20) + ½ (50)(2)² + ½ (30000)(0.05)² = ½ (30000)x₂²
x₂ ≈ 0.314 m
So the spring is compressed 0.314 m from it's natural length. However, we're asked to find the additional deformation from the original 50mm.
x₂ − x₁
0.314 m − 0.05 m
0.264 m
Rounding to 1 sig-fig, the spring is compressed an additional 0.3 meters.
<h3><u>Answer;</u></h3>
Mechanical advantage
<h3><u>Explanation;</u></h3>
- Mechanical advantage is the ratio of force output from a machine divided by the force input into the machine.
- Mechanical advantage measures the machine's force-magnifying effect. It is an advantage gained by using simple machines to accomplish work with less effort.
- The formula is; M.A = output force/ Input force
Space telescopes must be placed in orbit around earth in order to observe short-wavelength radiation.
<h3>What is telescope?</h3>
A telescope is an optical instrument that uses lenses, curved mirrors, or a combination of both to watch distant objects.
When atoms in a gas reach this temperature, they travel so quickly that when they collide, they release X-ray photons with wavelengths smaller than 10 nanometers.
Because the Earth's atmosphere prevents all X-rays from space, these wavelengths must be seen using space telescopes.
To study short-wavelength radiation, space telescopes must be put in orbit around the Earth.
Hence, space telescope is the correct answer.
To learn more about the telescope, refer:
brainly.com/question/556195
#SPJ1
Heat, like sound, is kinetic energy. Molecules at higher temperatures heave more energy, thus they can vibrate faster. Since the molecules vibrate faster, sound waves can travel more quickly.
So the answer is A.
My height is 178 centimeters.
My weight is 700N.