How much force would it take for the batter to hit the ball outward at 160 mph to hit a home run

Question

a basketball pitcher throw a 145 gram fastball at 90 mph if an average batter is able to make contact with the ball for 0.7 milliseconds 

Answer 1

Calculate the impulse (I) imparted to the ball.

 

I = mΔv = m(v₂ - v₁)

 

m = mass of ball = 0.145 kg

 

Assuming toward the bat is the positive direction and away from the bat is the negative direction,

 

v₁ = 90 mph

v₂ = -160 mph

 

v₂ - v₁ = (-160 - 90) mph

 

I suggest you convert mph to m/s, which you should know how to do.  I did a conversion like this in a similar problem that you posted.

 

F = force

 

F = I/t = m(v₂ - v₁)/t

 

t = 0.7 x 10^-3 s

 

A negative force means the force is opposite to the direction of motion of the ball.  If you just want the magnitude of the force, take the absolute value of F.  You should be able to finish from here.  Be careful with the units.