The normal force acts to counter the gravitational force, that is the upward direction.
Explanation:
(a) Draw a free body diagram of the cylinder at the top of the loop. At the minimum speed, the normal force is 0, so the only force is weight pulling down.
Sum of forces in the centripetal direction:
∑F = ma
mg = mv²/RL
v = √(g RL)
(b) Energy is conserved.
EE = KE + RE + PE
½ kd² = ½ mv² + ½ Iω² + mgh
kd² = mv² + Iω² + 2mgh
kd² = mv² + (m RC²) ω² + 2mg (2 RL)
kd² = mv² + m RC²ω² + 4mg RL
kd² = mv² + mv² + 4mg RL
kd² = 2mv² + 4mg RL
kd² = 2m (v² + 2g RL)
d² = 2m (v² + 2g RL) / k
d = √[2m (v² + 2g RL) / k]
It’s cause by the fact that the earth is tilted 23.5 degrees
<h2>
Option 1 is the correct answer.</h2>
Explanation:
Power of heater, P = 1790 W
Time used, t = 24 hours = 24 x 60 x 60 = 24 x 3600 s
We have the equation
![\texttt{Power}=\frac{\texttt{Energy}}{\texttt{Time}}](https://tex.z-dn.net/?f=%5Ctexttt%7BPower%7D%3D%5Cfrac%7B%5Ctexttt%7BEnergy%7D%7D%7B%5Ctexttt%7BTime%7D%7D)
We need to find energy,
Substituting
![\texttt{Power}=\frac{\texttt{Energy}}{\texttt{Time}}\\\\1790=\frac{\texttt{Energy}}{24\times 3600}](https://tex.z-dn.net/?f=%5Ctexttt%7BPower%7D%3D%5Cfrac%7B%5Ctexttt%7BEnergy%7D%7D%7B%5Ctexttt%7BTime%7D%7D%5C%5C%5C%5C1790%3D%5Cfrac%7B%5Ctexttt%7BEnergy%7D%7D%7B24%5Ctimes%203600%7D)
Energy = 1790 x 24 x 3600 J
Option 1 is the correct answer.