6. Two blocks with different masses are attached to either end of a light rope that passes over a light, frictionless pulley suspended from the ceiling. The masses are released from rest, and the more massive one starts to descend. After this block has descended 1.20 m, its speed is 3.00 m/s. If the total mass of the two blocks is 15.0 kg, what is the mass of each block

The mass of the blocks are 8.704 kg and 6.296 kg.

Explanation:

Let's first find the acceleration the causes this change in speed:

a = 3.75 m/s^2

We can now write the following equation:

                                     -Equation 1

Here the mass taken is of the small block. The force will be the difference in weight of the two blocks ( is the larger block and is the smaller block).

So we can write two more equations:

                  -Equation 2

                                     -Equation 3

Solving the three equations simultaneously we get:

F = 23.612 N

overcharge is the right answer system

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