A comet approaches the sun increasing its velocity by a factor of four while losing half of its mass. How does the momentum of the comet compare between the two points

Final momentum is double the initial momentum

Explanation:

Momentum, p is given by, p=mv where m is mass and v is velocity of an object. From law of conservation of linear momentum, the sum of initial and final momentum are equal. In this case, let initial mass be m and final mass will be 0.5 m since it losses half its mass. Also, let initial velocity be v and final velocity will be 4v

Initial momentum= mv

Final momentum= 0.5m*4v=2mv

The final momentum is twice the initial momentum.

an electric circuit

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 .