(4%) Problem 2: A massless spring (with force constant k = 193 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 52.3 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 8.5 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.83 m. show answer No Attempt 33% Part (a) Find an equation for the speed of the bullet v, just before it hits the block, in terms of the variables given in the problem statement.

v = [(m+M)wx^2/m]^1/2

Explanation:

To find the equation for the velocity of the bullet you take into account that just before the bullet hits the block all energy is kinetic energy.

Furthermore, you can assume that all the kinetic energy of the bullet is given to the string. By using this information you have:

  (this is the equation for the velocity of the bullet)

M: mass of the block = 52.3g

m: mass of the bullet = 8.5g

k: spring constant = 193N/m

x: distance in which the spring is compressed = 0.83m

By replacing in the formula for v you obtain:

v = 125.06m/a

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 .

im srry but ur wrong the answer is d a smooth rock, some red dirt, and an empty bird's nest.