Chris, a student at Cornell, wakes up at 8:59am for his 9:05 class. If the class is 1.5 km away, at what constant velocity does he need to travel in order to make it to class at 9:05? Neglect air resistance.

]]>

]]>

For a more complete overview, visit the University of South Wales website on acoustics: https://newt.phys.unsw.edu.au/jw/saxacoustics.html#overview

]]>

The length of the overhang, therefore, can be modeled by the harmonic series, *. *Theoretically, the harmonic series will balance with an infinite number of books. It takes 31 books for the overhang to be two books long, 227 books for the overhand to be 3 books long, and over 272 million books for the overhang to be 10 books long. Crazy stuff.

Recently, astronomers discovered a solar system much like ours that could potentially support life. Seven earth-sized planets orbiting nearby star Trappist-1 were found this past week. The solar system is 40 light years away from the Earth. At least three of the seven planets are the right temperature to sustain life. They're rocky and could have oceans. Their orbital periods range from 1 to nearly 13 Earth days. All of the planets are located within a distance from Trappist-1 that is 1/5 the distance from Mercury to our sun. However, Trappist-1 is a relatively cool star, making the temperatures on these 7 planets not too hot despite their close proximity to their sun. This discovery indicates an increased possibility of extraterrestrial life, which is pretty cool. We are still millions of years away from ever being able to travel to this planet, but nevertheless its discovery is exciting.

]]>]]>

]]>

= {\displaystyle \scriptstyle _{S}} {\displaystyle \mathbf {E} \cdot \mathrm {d} \mathbf {A} } . Electric flux can also be represented by 4 pi k Q. Since G is the gravitational constant analogous to k for electricity, and since M is analogous to charge, it makes sense that total gravitational flux is equivalent to -4 pi GM. Gravitational flux is negative because gravitation fields always attract, where electric flux can be positive or negative depending on the enclosed charge.

]]>]]>

]]>

We can also think of the scenario in terms of energy in order to determine how much work his moped will have to do in order to reach this velocity at the top of the ramp. **Lets say that the weight of his moped is 275 kg. Lets also assume that friction is negligible, meaning that mechanical energy is conserved in this situation. Where he begins at the top of the hill adjacent to the pool is about 2.0 meters higher than the top of the ramp (y = 2m). He travels about 10 m before reaching the top of the ramp. Also, his bike starts from rest. When he reaches the top of the ramp, all mechanical energy is in the form of kinetic energy. Therefore, an equation to model the conservation of mechanical energy in this scenario could be:**

**mgy + work done by the moped = 0.5mV^2**

We can solve for the work done by the moped through algebraic rearrangement and by plugging in our known values: y = 2 meters and V = 12.12 m/s. Therefore, the work done by the moped is 14882.5 Joules. Since Rod travels a distance of approximately 10 meters before reaching the top of the ramp, and since Work = Fd, the force that his moped would need to apply for him to be able to clear the pool would be 1482.25 Newtons. He might need to buy a more powerful bike in order to be successful in doing this stunt.

]]>