In a soccer match against Mexico in 2014, US Women’s National Team striker Alex
ID: 1773143 • Letter: I
Question
In a soccer match against Mexico in 2014, US Women’s National Team striker Alex Morgan scored a sweet headed goal in the 79th minute of the game. Just as the ball left her head, the horizontal component of its acceleration was 225 m/s2 , and the vertical component of its acceleration was -200 m/s2 (assuming the positive direction points up). If the ball has a mass of 425 g, what was the magnitude and direction of the force she applied to the ball? Note- you can ignore the weight of the ball.
**Please walk me through, if you can draw a diagram of what's going on it would help a lot**
Explanation / Answer
F = ma
a (resultant) = sqroot ( ax^2 +ay^2) = sqroot (225^2 +200^2) =301.04 m/s^2
F = ( 425 x 10^-3) (301.04 ) = 127.942 N apprx