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The gravitational force exerted on a baseball is 2.16 N down. A pitcher throws t

ID: 2274487 • Letter: T

Question

The gravitational force exerted on a baseball is 2.16 N down. A pitcher throws the ball horizontally with velocity 17.0 m/s by uniformly accelerating it along a straight horizontal line for a time interval of 182 ms. The ball starts from rest.

(a) Through what distance does it move before its release?
m

(b) What are the magnitude and direction of the force the pitcher exerts on the ball?

Need help figuring out the direction aspect of the question. Thanks

magnitude N direction The gravitational force exerted on a baseball is 2.16 N down. A pitcher throws the ball horizontally with velocity 17.0 m/s by uniformly accelerating it along a straight horizontal line for a time interval of 182 ms. The ball starts from rest. Through what distance does it move before its release?

Explanation / Answer

u = 0

v = 17 m/s

t = .182 s

a)

a = v/t

= 93.41 m/s^2

so distance = .5at^2 = 1.547 m

b)

vertical force Fy = 2.16 N

mass = Fy/9.8 = .22 kg

horizontal force exerted by pitcher= ma = .22*93.41 = 20.588 N

aloong with horizontal force he has to aply force vertically to balance gravitaitonal force which is equal to = 2.16 N

so

direction = tan-1(2.16/20.588)

= 6 degrees aproximately