A block of mass 0.5 kg is pushed against a horizontal spring until the spring is compressed a distance x = 0.4 m. The spring constant is 450 N/m. When it is released the block travels along a horizontal frictionless surface then reaches a vertical circular track of radius R = 2.9 m and continues to move up the track. The block experiences friction while sliding up the track. The block reaches the top of the track with a speed of 4.1 m/s. Find the change in mechanical energy caused by friction (in J).

ice to water 1 water to vapour 2 latent heat

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

float.

archimedes' principle

denser than water sinks in water.

denser than mercury would sink in it