The Jokerfish has set a devious trap for Batpenguin, using his own son Nemo as bait. The Jokerfish attaches a very heavy

[answerhappygod]

The Jokerfish has set a devious trap for Batpenguin, using his
own son Nemo as bait. The Jokerfish attaches a very heavy bowling
ball of mass M = 300kg to a long wire of length ℓ=30.0m, then
attaches the other end of the wire to the incredibly vaulted
ceiling of his Jokertower so that the bowling ball hangs at rest
just above the ground without touching. The Jokerfish then pulls
the bowling ball sideways along its arc of constant radius from the
ceiling until it touches the side wall, where Jokerfish attaches it
with an electromagnet. Jokerfish then puts Nemo in a big plastic
bag with water in it and places him on the floor directly beneath
the ceiling attachment of the wire, where the bowling ball had been
hanging at rest. He then lies in wait for Batpenguin to arrive.
1. How fast will the bowling ball be moving (in meters per
second) when it reaches the bottom of its arc where Nemo is? (Hint:
Think about energy conservation for a simpler solution, though you
can also think about torque and angular acceleration.)
2. When the bowling ball reaches the bottom of its arc where
Nemo is, the tension in the wire will be (explain your answer
carefully in your write-up):
A. Less than the tension in the wire when the bowling ball was
hanging at rest.
B. Greater than the tension in the wire when the bowling ball
was hanging at rest.
C. Palpable.
D. Equal to the tension in the wire when the bowling ball was
hanging at rest.
3. Batpenguin suspected foul play from the Jokerfish so secretly
arrived at the jokertower earlier and climbed up the side to the
top. When Jokerfish is not looking, Batpenguin opens a secret hatch
in the ceiling and hangs upside down next to where the wire is
attached and unhooks it. Not wanting to drop the wire and cause a
ruckus, Batpenguin loops it over a frictionless pulley attached to
the ceiling where the wire used to be attached directly, then
attaches it to another 300kg bowling ball that happened to be on
the top of the tower. Once attached, Batpenguin lets the second
bowling ball hang from one side of the pulley while the original
bowling ball still hangs from the other side while still attached
to the side wall. The 20 kg Batpenguin then hangs upside down from
the bottom of the newly attached bowling ball and screeches loudly,
which startles the Jokerfish into pressing the button on the
remote.
Explain carefully what you think will happen when the
electromagnet releases the original bowling ball from the side
wall. Is Nemo safe? Defend your answer with good pictures and
reasoning.
(Hint: This problem is challenging to solve exactly, but you
should be able to estimate what will happen using good diagrams and
by thinking through how the motion changes over a sequence of time
steps. Do you best to tell a convincing story! I want to see how
you are reasoning through the problem here, not necessarily whether
you manage to get the correct answer.)