Hi there!
We can begin by finding the acceleration of the block.
Use the kinematic equation:

The block starts from rest, so:

Now, we can do a summation of forces of the block using Newton's Second Law:

mb = mass of the block
T = tension of string
Solve for tension:

Now, we can do a summation of torques for the wheel:

Rewrite:

We solved that the linear acceleration is 1.5 m/s², so we can solve for the angular acceleration using the following:

Now, plug in the values into the equation:

Divide 24 by 12.
24/t = 12
24/12 = t
24/12 = 2
t = 2
Answer:
stone A is diamond.
Explanation:
given,
Volume of the two stone = 0.15 cm³
Mass of stone A = 0.52 g
Mass of stone B = 0.42 g
Density of the diamond = 3.5 g/cm³
So, to find which stone is gold we have to calculate the density of both the stone.
We know,


density of stone A


density of stone B.


Hence, the density of the stone A is the equal to Diamond then stone A is diamond.
Explanation:
1. Acceleration is the change in velocity over time.
a = Δv / Δt
a = (29.8 m/s − 37.1 m/s) / 3 s
a = -2.43 m/s²
2. Work equals force times distance.
W = Fd
W = (87.3 N) (2.04 m)
W = 178 J
3. Power is work per time.
P = W / t
267 W = 1250 J / t
t = 4.68 s