12. A roller coaster is sitting at the top of a 80 m hill and has 94646J. What is its mass? Calculate it and show your work.

Mass, m = 120.72 kg.

Explanation:

Given the following data;

P.E = 94646J

Height, h = 80m

We know that acceleration due to gravity is 9.8m/s²

Since the roller coaster is sitting at the top of a hill, it simply means it possesses energy due to its position.

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

Where, P.E represents potential energy measured in Joules.

m represents the mass of an object. g represents acceleration due to gravity measured in meters per seconds square. h represents the height measured in meters.

To find its mass?

Substituting the values into the equation, we have;

Mass, m = 120.72 kg.

Therefore, the mass of the roller coaster is 120.72 kilograms.

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.