Abullet with a mass of 0.005kg is moving at 500m/s and sticks into a block of wood with a mass of 5kg. what is the final velocity of the wood/bullet mass?

0.5 m/s

Explanation:

We can solve the problem by using the law of conservation of momentum, which states that the total momentum before the collision must be equal to the total momentum after the collision:

where:

is the mass of the bullet

is the initial velocity of the bullet

is the mass of the block

is the initial velocity of the block

is the final velocity of the bullet+block

Re-arrranging the equation and substituting numbers, we find:

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