A 10-kg package drops from a chute into a 25-kg cart with velocity of 3 m/s. Knowing that the cart is initially at rest and can roll freely, determine: (a) the final velocity of the cart,
(b) the impulse exerted by the cart on the package,
(c) the fraction of the initial energy lost in the impact.

the closer the planet is to the sun, the larger the gravity

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