accidentallyhits a bump and the meteorite tips off thehandtruck andinto the dolp

Question

accidentallyhits a bump and the meteorite tips off thehandtruck andinto the dolphin pool.

Fortunately, the iron didn't hit a dolphin, but it quickly sinks to the bottom. Unfortunately, the meteorite has many sharp edges and she is worried the dolphins, curious creatures that they are, will come to inspect it and be cut when they rub against it. She wants to get it up out of the pool as quickly as possible.

Fortunately, the meteorite has lots of holes in it and there are ropes with hooks on one end lying around. If she could get a hook into one of the holes, she might be able to pull it up to the top. Unfortunately, she remembers that the meteorite is too heavy for her to lift.

(a) After managing to get the hook into one of the meteorite's holes, what is the minimum force the curator would need to apply with the rope to lift the meteorite?
minimum force = ________ N

(b) Assuming the curator can apply a maximum force of 450 N, will she be able to lift the meteorite?

1) Yes

2) No

3) Cannot be determined

(c) The curator applies her maximum force to the meteorite with the rope. What is the normal force of the bottom of the pool on the meteorite as she's pulling the rope?
n = ______ N

(d) Instead of pulling on the rope by hand, the curator attaches the rope to a crane for transferring dolphins in and out of the pool. The crane is able to apply the force necessary to lift the meteorite at constant speed. What is the tension in the rope? (Ignore the drag force from the water.)
T = ________ N

(e) When the meteorite is halfway to the surface, however, the rope breaks. What is the acceleration of the meteorite as it sinks back to the bottom of the pool? (Ignore the drag force from the water.)
a = _______ m/s/s

(f) With a new rope, the curator again uses the crane to lift the meteorite, but now the crane gets stuck when the meteorite is half submerged at the surface of the pool. What is the tension in the rope at this point?
T = _________ N

The curator of a science museum is transporting a chunk of meteorite iron (i.e., a piece of iron that fell from the sky -- see picture at left) from one part of the museum to another. Since the chunk of iron weighs 1000 N and is too big for her to lift by herself, she is using a hand cart (see figure at right). While passing through the marine mammals section of the museum, she

accidentallyhits a bump and the meteorite tips off thehandtruck andinto the dolphin pool.

Explanation / Answer

a) T = B-w

B is the buoyant force

w = weight of the object

T = rhof*vf*g-rgo0*v0*g

here values are not given

b) T>450 N then she will lift the object

if crane lifts the object with constant speed then acceleration becomes zero

T = mg = w

if an object breaks from the rope halfway then f = ma

a = f/m

here f is the net force

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