Answer:
The mechanical energy of the satellite is about 12 Gigajoules
Explanation:
The total mechanical energy is the sum of the kinetic and potential energy:
While we can determine the potential energy from the given values (height above earth's surface), to calculate the kinetic energy the velocity of the satellite needs to be determined first.
The formula for orbital velocity is:
with G the gravitational constant, m_E the mass of the Earth, and r the satellite distance measured from the center of the Earth:
This velocity points in the direction of the tangent of the orbit.
Now the kinetic and total mechanical energy can be calculated:
The mechanical energy of the satellite is about 12 Gigajoules
Answer:
9.39 m/s
Explanation:
Using the y-direction, we can solve for the time t it takes for the cart to reach the ground.
Assume the up direction is positive and the down direction is negative.
- v₀ = 0 m/s
- a = -9.8 m/s²
- Δy = -50 m
- t = ?
Find the constant acceleration equation that contains these four variables.
Substitute known values into this equation.
Multiply and simplify.
Divide both sides of the equation by -4.9.
Square root both sides of the equation.
Now we can use this time t and solve for v₀ in the x-direction. Time is most often our link between vertical and horizontal components of projectile motion.
List out known variables in the x-direction.
- v₀ = ?
- t = 3.194382825 s
- a = 0 m/s²
- Δx = 30 m
Find the constant acceleration equation that contains these four variables.
Substitute known values into the equation.
- 30 = (v₀ · 3.194382825) + 1/2(0)(3.194382825)²
Multiply and simplify.
Divide both sides of the equation by 3.194382825.
The cart was rolling at a velocity of 9.39 m/s (initial velocity) when it left the ledge.
<span> applies to any object moving more slowly than the speed of light</span>
D: light waves in a vacuum
Light and sound both move in waves, one is detected by your ears, one is detected by your eyes. However, light travels faster in a vacuum because light bounces off of matter and energy AKA air, water, earth, plasma, basically anything.
Sound on the other hand cannot travel In a vacuum and moves it's fastest through a solid, slower through a liquid, and it's slowest through air.
Because light travels sooo much faster than sound, answer D is the correct answer!
I hope this helped!
The string that will break first depends on the weight of the block or bar subjected to such string.
According to Hook's law, the force applied to an elastic material is directly proportional to the extension of the material.
F= kx
where;
- <em>F is the force applied to the object = weight of the object</em>
For given two identical strings, the string that will break first depends on the mass of the bar and the block.
- If the bar is heavier than the block, then the string subjected to the bar will break first.
- On the other hand, if the block is heavier than the bar, then the string subjected to the block will break first.
Thus, the string that will break first depends on the weight of the block or bar subjected to such string.
Learn more here:brainly.com/question/4404276