Question

A projectile is fired with initial speed vo at an angle of 45o above the horizontal. Assume no air resistance.

i: During the flight, the x-component of the projectile's momentum remains constant.

ii: During the flight, the y-component of the projectile's momentum remains constant.

a) i is True and ii is False
b) i is True and ii is True
c) i is False and ii is True
d) i is False and ii is False

Answer 1

Answer:

The correct answer is a

Explanation:

At projectile launch speeds are

X axis     vₓ = v₀ = cte

Y axis     $v_{y}$ = v_{oy} –gt

The moment is defined as

         p = mv

For the x axis

         pₓ = mvₓ = m v₀ₓ

As the speed is constant the moment is constant

For the y axis

        p_{y} = m v_{y} = m (v_{oy} –gt) = m v_{oy} - m (gt)

Speed ​​changes over time, so the moment also changes over time

Let's examine the answer

i   True

ii False.  The moment changes with time

The correct answer is a