G A bat hits a moving baseball. If the bat delivers a net eastward impulse of 1.0 N-s and the ball starts with an initial horizontal velocity of 3.8 m/s to the west and leaves with a 5.7 m/s velocity to the east, what is the mass of the ball (in grams)

105 g

Explanation:

We are given that

Impulse=I=1 N-s

Initial velocity,u=-3.8 m/s

Final velocity,v=5.7 m/s

We have to find the mass of the ball.

Impulse=Change in momentum

I=m(v-u)

Using the formula

Where 1 kg=1000 g

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s