Momentum ap physics 1

The correct option is;

B. Object X travels at -2 m/s and object Y travels at 4 m/s after the spring is no longer compressed

Explanation:

The given parameters are;

The mass of object Y = M

The mass of object X = 2·M

The initial velocity of object X and object Y = 0 m/s

Let A represent the velocity of object X after the spring is released and B represent the velocity of object Y after the spring is released, therefore, by the principle of the conservation of linear momentum, we have;

(M + 2·M) × 0 = M × B + 2·M × A

∴ (M + 2·M) × 0 = 0 = M × B + 2·M × A

M × B = -2·M × A

∴ B = -2·A

Therefore, the velocity of the object Y = -2 × The velocity of the object X

Whereby the velocity of the object X = -2, The velocity of the object Y = -2 × -2 = 4

Which gives, object X travels at -2 m/s and object Y travels at 4 m/s after the spring is no longer compressed.

multiple

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 .