Answer:
The GPE, stored is 640 Joules
Explanation:
The given parameters are;
The given mass of the astronaut, m = 80 kg
The height of the top of the lunar lander to which the astronaut climbs, h = 5 m
The gravity strength on the moon, g = 1.6 N/kg
The Gravitational Potential Energy, GPE, stored is given according to the following equation;
GPE stored = m·g·h
Therefore, by substituting the known values, we have;
GPE Stored = 80 kg × 1.6 N/kg × 5 m = 640 Joules
The GPE, stored = 640 Joules.
If a boat motor catches fire, you should immediately shut off the fuel supply, and try to put out the fire with an extinguisher. It is very important to have fully charged fire extinguishers on hand. As soon as you notice the fire activate the extinguisher and do not panic. In order to prevent fire remember to c<span>lean the bilges often and maintain proper gear stowage, make sure short-tie cables are properly connected...</span>
To solve this problem we will apply the concepts related to the calculation of the speed of sound, the calculation of the Mach number and finally the calculation of the temperature at the front stagnation point. We will calculate the speed in international units as well as the temperature. With these values we will calculate the speed of the sound and the number of Mach. Finally we will calculate the temperature at the front stagnation point.
The altitude is,

And the velocity can be written as,


From the properties of standard atmosphere at altitude z = 20km temperature is



Velocity of sound at this altitude is



Then the Mach number



So front stagnation temperature



Therefore the temperature at its front stagnation point is 689.87K
Answer:
4) Isaac Newton was the first scientist to propose the idea that gravity increases distance between objects decrease
Explanation:
1 - Kepler may have inspired most of Newton's propositions, but there is no record of collaborating on the theory of universal gravitation.
2 - The universal gravitation theory resemble the works of other great scientists, but Newton was indeed the first to propose this idea of gravitation
3 - On the contrary, these scientists have shared concepts, with differences in accuracy that supersede each other to be accepted by the community (i.e: Einstein being at the forefront despite sharing some ideas with Newton)
solution:
Weight of bucket = 10kg
Length or distance =14m
Weight of rope=0.5kg/m
At any point x of the rope,
=(0.5)(14-x)
=(7-0.5x)
Since the water finishes draining at 14m level and total weight of water is 42kg
Total mass=(7-0.5x)+(42-3x)+10=(59-3.5x)kg
Force=(9.8)(59-3.5x)
