Answer:
(B) 15 N.m
Explanation:
The deceleration of the wheel is first found by using the following formula:

where,
α = angular acceleration = ?
ωf = final angular speed = 0 rad/s
ωi = initial angular speed = 12 rad/s
t = time = 0.4 s
Therefore,

here, the negative sign shows deceleration.
Now, we find the torque responsible for this deceleration:

where,
τ = torque = ?
I = rotational inertia = 0.5 kg.m²
Therefore,

τ = 15 N.m
Therefore, the correct answer is:
<u>(B) 15 N.m</u>
(a) The compression of the spring is 0.074 m.
(b) The potential energy of block will be converted to elastic potential energy of the spring when the block comes to rest.
<h3>
Compression of the spring [ x ]</h3>
The compression of the spring is calculated as follows;
F = kx
mg = kx
x = mg/k
where;
- m is mass of the object
- k is the spring constant
x = (3 x 9.8) / (400)
x = 0.074 m
<h3>Motion of the block</h3>
Based on the principle of conservation of energy, the potential energy of block will be converted to elastic potential energy of the spring when the block comes to rest.
Learn more about elastic potential energy here: brainly.com/question/25996974
#SPJ1
Is the apparent loss of time of a moving clock as observed by a stationary observer. Thats what i think.