All of the given options represent NASA future projects:
- Use a probe to collect data- Parker Solar Probe will be the first-ever mission to study the Sun from such a small distance. The spacecraft will travel directly into the Sun's atmosphere about 4 million miles from the surface.
- Improve aviation technology- NASA is currently working on the development of the new experimental aircraft X-plane which will prove the dramatic benefits of advanced technologies in piloted flight.
- Conduct research from a space station- Humans are already living and working on board of the International Space Station which is one-of-a-kind research laboratory in microgravity. A portion of the astronauts time aboard the space station has been designated for national laboratory investigations.
- Collect samples on an asteroid- First asteroid sample return mission, OSIRIS-REx, arrives at the near-Earth asteroid Bennu in December 2018 and should return a sample for study in 2023.
- Conduct an unmanned space mission- InSight Mars lander is set to study the planet’s interior. The Mars 2020 rover will search for signs of past microbial life, gather samples for future return to Earth and investigate resources. The James Webb Space Telescope will be the premier observatory of the next decade, studying every phase in the history of our Universe in infrared
Mirror formula
1/f = (1/p) + (1/q) [ f= focal length , p= object distance , q = image distance ]
as given convex mirror so
distance of object =p= 6cm
focal length = -8cm
to find q=?
1/q =( 1/f) - (1/ p)
1/q = (1/ 8) -(1/6)
1/q =-1/24
q=-24 ( negative sign shows image is virtual and behind the mirror)
You know the following:
k= 25N/m
x=1.5m
Now you just plug these numbers into the formula which is
Epe = 1/2kx²
= 1/2(25N/m)(1.5m)²
= 28.125J or in proper sigdigs 28J
Hope this helps!