When liquid cools, both its density and volume increases. Therefore the answer to your question are #s 1 and 5. This is due to the fact that molecules which are compacted or pressed against each other form a solid, and when they start to cool-down the molecules start to break free from each other increasing the density of a liquid and the space that it occupies.
Answer:
W = -1.152 mJ
Explanation:
given,
F = −α x + β x³
α = 5.2 N/m and β = 700 N/m³
Work done = ?
length of stretch = ?
we know,
W = F . ds
![W = [\dfrac{-5.2x^2}{2} +700\dfrac{x^4}{4}]_0^{0.12}](https://tex.z-dn.net/?f=W%20%3D%20%5B%5Cdfrac%7B-5.2x%5E2%7D%7B2%7D%20%2B700%5Cdfrac%7Bx%5E4%7D%7B4%7D%5D_0%5E%7B0.12%7D)
now,
![W = [\dfrac{-5.2(0.12)^2}{2} +700\dfrac{(0.12)^4}{4}]](https://tex.z-dn.net/?f=W%20%3D%20%5B%5Cdfrac%7B-5.2%280.12%29%5E2%7D%7B2%7D%20%2B700%5Cdfrac%7B%280.12%29%5E4%7D%7B4%7D%5D)
W = -0.001152 J
W = -1.152 mJ
work done by the spring is equal to W = -1.152 mJ
Answer: When two forces act in the same direction, they add together.
Explanation:
Answer:
Yes, it would make it back up.
Explanation:
If it has 100,000 Joules of gravitational potential energy at the top of the hill, by the time the cart gets to the bottom, it will become PE = 0, KE = 90,000 since 10% of 100,000 is 10,000. The cart only requires 80,000J to climb back up so it should easily do so.
I didn't quite understand if the 10% energy loss is total, or every time it goes up or down, but it isn't a problem because 10% of 90,000 is 9,000, which means it would have 81,000J of energy on the way back up IF it loses energy due to friction on the way back up also.
The only physical law you need to prove this is the Law of Conservation of Energy: no energy is lost, only transformed; 10% of the energy becomes heat, the rest remains mechanical energy, which is the reason why the reasoning above works.
By definition, speed is the integral of acceleration with respect to time.
We have then:
As the acceleration is constant, then integrating we have:
Where,
vo: constant of integration that corresponds to the initial velocity
We observe then that the speed varies linearly when the acceleration is constant
.
Therefore, for constant acceleration, the velocity is changing.
Answer:
an object with a constant acceleration always have:
A. changing velocity
