Skip to content

Force on a batted ball - Impulse

Home arrow Problems and Answers arrow Classical Mechanics arrow Force on a batted ball - Impulse


Force on a batted ball - Impulse E-mail
User Rating: / 0
PoorBest 
A baseball (m = 0.14 kg) thrown by a pitcher reaches a bat with a velocity of 32.0 m/s in a horizontal direction.
a) Computer the impulse that must be applied to the ball if it is to leave the bat with an initial velocity of 47.0 m/s, directed 40? above the horizontal direction?
b) Find the average force acting on base ball in the 2 x 10-3 s intervals during which it is in contact with bat?
 
Classical Mechanics - Force on a batted ball - Impulse Classical Mechanics - Force on a batted ball - Impulse - Physics Problems
A baseball (m = 0.14 kg) thrown by a pitcher reaches a bat with a velocity of 32.0 m/s in a horizontal direction.
a) Computer the impulse that must be applied to the ball if it is to leave the bat with an initial velocity of 47.0 m/s, directed 40˚ above the horizontal direction?
b) Find the average force acting on base ball in the 2 x 10-3 s intervals during which it is in contact with bat?
 
Force on a batted ball

According to the impulse-momentum theorem, the impulsive applied to the ball equals it change in momentum
impulse-momentum
impulsive applied to the ball equals it change in momentum

We express this equation for component form for horizontal direction as
component form for horizontal direction
impulse on horizontal direction
Image
Image
impulse on horizontal direction

Find impulsive applied on vertical direction
impulse on vertical direction
Image
Image
impulse on vertical direction

Impulsive magnitude
Impulsive magnitude
Image
Impulsive magnitude

Impulsive direction
Impulsive direction
Impulsive direction
Θ = 82.46˚

Average force acting on the ball in the 2 x 10-3 s intervals is
Average force
Image
Average force


Average force acting on the ball 9100 N.
 
[ Back ]