Answer: 0.22
Explanation: Subtract 0.01kg from 0.23kg
This is a great problem if you like getting tied up in knots
and making smoke come out of your brain.
I found that it makes the problem a lot easier if I give the objects some
numbers. I'm going to say that the mass of Object 5 is 20 clods.
Let the mass of Mass of Object 5 be 20 clods .
Then . . .
-- The mass of Object 2 is double the mass of Object 5 = 40 clods.
-- The mass of Object 4 is half of the mass of Object 5 = 10 clods.
and
-- the mass of Object 3 is half of the mass of Object 4 = 5 clods.
So now, here are the masses:
Object #1 . . . . . unknown
Object #2 . . . . . 40 clods
Object #3 . . . . . 5 clods
Object #4 . . . . . 10 clods
Object #5 . . . . . 20 clods .
Now let's check out the statements, and see how they stack up:
Choice-A:
Object 3 and Object 5 exert the same gravitational force on Object 1.
Can't be.
Objects #3 and #5 have different masses, so they can't both
exert the same force on the same mass.
Choice-B.
Object 2 and Object 4 exert the same gravitational force on Object 1.
Can't be.
Objects #2 and #4 have different masses, so they can't both
exert the same force on the same mass.
Choice-C.
The gravitational force between Object 1 and Object 2 is greater than
the gravitational force between Object 1 and Object 4.
Yes ! Yay !
Object-2 has more mass than Object-4 has, so it must exert more force on
ANYTHING than Object-4 does, (as long as the distances are the same).
Choice-D.
The gravitational force between Object 1 and Object 3 is greater than the gravitational force between Object 1 and Object 5.
Can't be.
Object-3 has less mass than Object-5 has, so it must exert less force on
ANYTHING than Object-4 does, (as long as the distances are the same).
Conclusion:
If the DISTANCE is the same for all the tests, then Choice-C is
the only one that can be true.
Explanation:
C) is incorrect. The mass is equivalent to the moment of inertia in an angular formula.
The others appear all correct.
T * theta = F * r * theta = F * (r theta) = fx = work
This is the only one that needed explanation. The others should be obvious.
Answer:
The water filled balloon does not burst because the rubber obviously does not reach a temperature sufficient for it to melt or burn. The rubber is stretched thin so that heat is quickly transferred into the balloon. With air inside the balloon, this heat is not readily dissipated away from the spot touching the flame.
The first time we read this, we think that we'll have to go look up a bunch of stuff about the gravitational constant, centripetal force, orbital mechanics, the Moon's period of revolution, and who knows whut owl !
But you know whut ? The only thing we need is Newton's 2nd law:
F = m A
Divide each side by m :
Acceleration = Force / mass
Acceleration = (2.03 x 10²⁰ Newtons) / (7.35 x 10²² kg)
Acceleration = (2.03 x 10²⁰ / 7.35 x 10²² kg) (m/s²)
<em>Acceleration = 0.00276 m/s²</em>