can someone check?
Which has greater volume: 1 kg of gold or 1 kg of water?
a. The gold has greater volume.
b. The water has greater volume.
c. Gold and water have the same volume.
Is it a? I know it's not b.
The stones in an arch are . . .
a. rarefied
b. torqued
c. under tension
d. under compression
I pick d.
A metal wire stretches 1.00 mm when 100 lbs of weight are suspended from the end. If instead only 50 lbs of weight were suspended from the wire, how far would it stretch?
a. 0.25 mm.
b. 0.50 mm.
c. 1.00 mm.
d. 2.00 mm.
I need help with this question. Is this b?
you are dead wrong on the first, right on the second, and guess right on the last. The key on the last is Hooke's law:
force= constant*displacement.
if you have theforce, you halve the displacement.
For the first question, which asks about the volume of 1 kg of gold and 1 kg of water, the correct answer is c. Gold and water have the same volume. This is because the volume of an object is determined by its density and mass, not by the material itself. Both gold and water have a density of 1 g/cm3, so 1 kg of gold and 1 kg of water will occupy the same volume.
For the second question about the stones in an arch, the correct answer is d. under compression. When an arch is constructed, the stones are placed in a way that they can support the weight above them. This results in compression forces being applied to the stones, which helps in maintaining the structural integrity of the arch.
Lastly, for the question about a metal wire stretching under different weights, we need to apply Hooke's Law. Hooke's Law states that the extension (stretching or compression) of an elastic object is directly proportional to the force applied to it. In this case, we are given that when 100 lbs of weight are suspended, the wire stretches 1.00 mm.
If we assume that the wire behaves linearly (following Hooke's Law), we can set up a proportion to find the amount of stretch when only 50 lbs of weight are suspended. Since the weight is halved, the stretch should also be halved. Therefore, the wire would stretch 0.50 mm. So, the correct answer is b. 0.50 mm.