Answer:
The thrown rock will strike the ground earlier than the dropped rock.
Explanation:
<u>Known Data</u>
- , it is negative as is directed downward
<u>Time of the dropped Rock</u>
We can use , to find the total time of fall, so , then clearing for .
<u>Time of the Thrown Rock</u>
We can use , to find the total time of fall, so , then, , as it is a second-grade polynomial, we find that its positive root is
Finally, we can find how much earlier does the thrown rock strike the ground, so
Answer:
792 J
Explanation:
The total energy of the ball is E = U + K where U = potential energy = mgh and K = kinetic energy = 1/2mv²
E = mgh + 1/2mv² where m = mass of ball = 2.0 kg, g = acceleration due to gravity = 9.8 m/s², h = height of building = 20.0 m, v = initial velocity of ball = 20.0 m/s.
So, substituting the values of the variables into E, we have
E = mgh + 1/2mv²
= 2.00 kg × 9.8 m/s² × 20.0 m + 1/2 × 2.00 kg × (20.0 m/s)²
= 392 J + 400 J
= 792 J
<span>It's A. Individuals with traits NOT suited for survival DON'T pass their traits to their offspring, because they don't survive and they DON'T HAVE OFFSPRING. That's why, after a while, most of the living individuals have traits that ARE suited for survival. THAT's what evolution says. It says nothing about individuals changing. Note this not my answer its the answer of the guy up above who wrote it in the comments instead of in an answer!</span><span />
Answer:
x = 1.00486 m
Explanation:
The complete question is:
" The potential energy between two atoms in a particular molecule has the form U(x) =(2.6)/x^8 −(5.1)/x^4 where the units of x are length and the num- bers 2.6 and 5.1 have appropriate units so that U(x) has units of energy. What is the equilibrium separation of the atoms (that is the distance at which the force between the atoms is zero)? "
Solution:
- The correlation between force F and energy U is given as:
F = - dU / dx
F = - d[(2.6)/x^8 −(5.1)/x^4] / dx
F = 20.8 / x^9 - 20.4 / x^5
- The equilibrium separation distance between atoms is given when Force F is zero:
0 = 20.8 / x^9 - 20.4 / x^5
0 = 20.8 - 20.4*x^4
x^4 = 20.8/20.4
x = ( 20.8/20.4 )^0.25
x = 1.00486 m