Option B makes best sense, correct me if i’m wrong
Answer:
22J
Explanation:
Given :
radius 'r'= 3cm
rotational inertia 'I'=4.5 x
kgm²
mass on one side of rope '
'= 2kg
mass on other side of rope'
' =4kg
velocity'v' of mass
' = 2m/s
Angular velocity of the pulley is given by
ω = v /r => 2/ 3x ![10^{-2](https://tex.z-dn.net/?f=10%5E%7B-2)
ω = 66.67 rad/s
For the rotating body, we have
KE =
I ω²
![KE_p = \frac{1}{2} (4.5 *10^{-3} )(66.67^{2} )](https://tex.z-dn.net/?f=KE_p%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%284.5%20%2A10%5E%7B-3%7D%20%29%2866.67%5E%7B2%7D%20%29)
= 10J
Next is to calculate kinetic energy of the blocks :
![KE_{b} = \frac{1}{2} (m_1 + m_2).v^2\\KE_b= \frac{1}{2} (2+4).2^2](https://tex.z-dn.net/?f=KE_%7Bb%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28m_1%20%2B%20m_2%29.v%5E2%5C%5CKE_b%3D%20%5Cfrac%7B1%7D%7B2%7D%20%282%2B4%29.2%5E2)
=12J
Therefore, the total kinetic energy will be
KE =
=10 + 12
KE= 22J
Answer:
Friction produces unnecessary heat leading to the wastage of energy. The force of friction acts in the opposite direction of motion, so friction slows down the motion of moving objects. Forest fires are caused due to the friction between tree branches. However, friction can also cause problems in a car. Friction between moving engine parts increases their temperature and causes the parts to wear down. Friction can be both harmful and helpful, so it may be necessary to decrease or increase friction.