Ablock of mass, m = 10 kg, starts at the top of a frictionless track which forms a quarter circle of radius r = 10 m. it is given an initial downward velocity of vi = 10 m/s. what is its velocity at the bottom of the track?

v=17.32 m/s

Explanation:

Given that

m= 10 kg

R= 10 m

Initial speed ,u= 10 m/s

lets take final speed at the bottom = v m/s

As we know that

Work done by all the forces = Change in the kinetic energy

Now by putting the values

Take g= 10 m/s²

v=17.32 m/s

The speed of the car at bottom will be 17.32 m/s

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.