4 ms·
Let's go I'm doing each of these in 30 seconds or less: 1. You're rotating the image about a plane I think I remember 2. Larger 3. 600 miles 4. They're ferr
by _sword 12y ago
Let's go I'm doing each of these in 30 seconds or less:
1. You're rotating the image about a plane I think I remember
2. Larger
3. 600 miles
4. They're ferromagnetic so magnetize them both by keeping them near each other. Boom we're done here
5. Stay the same
6. Fall since it doesn't have to displace a mass of water (less dense) equivalent to the nuts and bolts (more dense)
7. Assume the pigeons begin at the top of the cab with zero initial momentum and we allow them to fall while the truck begins to accelerate. The truck would feel lighter and accelerate more easily up until the point where the free-falling pigeons contact the back of the truck and begin to be accelerated by the truck.
8. It moves in the direction of the car since the air in the vehicle is a fluid mass that piles up in the car opposite the direction of acceleration.
9. 30 seconds isn't enough to fully explain, but there's a separate solution to the field equation inside versus outside. Inside it should float where it is as attractive forces balance themselves out.
10. Mass of the liquid = mass of the can let's go with that
No guarantee I read the questions correctly in the 30 seconds I gave myself for each
- anon4 12y agoI got 500 for 3. and for 4. I'd just touch the end of one rod to the middle of the other.
- _sword 12y agoWoops, typo yeah it is 500 miles. The relative speed of one to the other is 30,000mph so it's 500 miles. For 4 I gave a cop-out answer since I didn't think of one within the time I gave myself
- sneak 12y agoThey travel 500 miles. They start 1317 miles apart. The distance afterward is 1317-500.
- TTPrograms 12y agoFor 1) it's a flip along the axis of the mirror, not a rotation at all.
- _sword 12y agoPretty sure I remember it being possible to do a 4 dimensional rotation that's equivalent to a 3D mirror image. I'm at work now though and can't do the math for a while
- TTPrograms 12y agoEverything gets easier when you add dimensions - just ask the string theorists.
- symmetricsaurus 12y agoSure. Add an extra dimension with coordinate w to 3d space. Then just rotate around the (x,y)-plane until z -> -z and w -> -w. Everything in the (x,y)-plane stays the same and z has been inverted.
- _sword 12y agoThank you, that looks exactly right!
- symmetricsaurus 12y agoI think you are mostly right. Some corrections and further explanations (no time limit): 1. A mirror flips the direction perpendicular to the mirror. Left is still left and right is still right, e. g., your left hand will still be on your left side in the mirror. But, your mirror image will be looking in the opposite direction compared to you. 7. The pigeons are flying around inside the truck. Doing this they exert a force on the air around them which in turn will exert a force on the truck containing the air. On average this force will balance the weight of the pigeons. Also, 200 pigeons at maybe a 200 grams each is just 40 kg to be compared to the weight of a truck of several tonnes. 9. Using spherical symmetry and the divergence theorem we can conclude that the gravitational field inside a spherical shell is zero.
- mdkras 12y agoI think number 10 is 1/4 of the can is full of soda, so 3 ozs of soda. There's a link here with the problem http://people.missouristate.edu/lesreid/Adv71.html http://people.missouristate.edu/lesreid/Adv71.html.