Answer:
rmax/rmin = √1.127
Explanation:
F = GmM / r²
As the masses can be assumed to be constant, the force between the two is proportional to the inverse of the square of the distance between them
(Fmax - Fmin) / Fmin = 0.127
(Fmax - Fmin) = 0.127Fmin
1/rmin² - 1/rmax² = 0.127(1/rmax²)
1/rmin² = 0.127(1/rmax²) + 1/rmax²
1/rmin² = 1.127(1/rmax²)
rmax²/rmin² = 1.127
rmax/rmin = √1.127 ≈ 1.06160256...
So you can have a understanding of what you are doing and figure out your overall goal
We actually don't need to know how far he/she is standing from the net, as we know that the ball reaches its maximum height (vertex) at the net. At the vertex, it's vertical velocity is 0, since it has stopped moving up and is about to come back down, and its displacement is 0.33m. So we use v² = u² + 2as (neat trick I discovered just then for typing the squared sign: hold down alt and type 0178 on ur numpad wtih numlock on!!!) ANYWAY....... We apply v² = u² + 2as in the y direction only. Ignore x direction.
IN Y DIRECTION: v² = u² + 2as 0 = u² - 2gh u = √(2gh) (Sub in values at the very end)
So that will be the velocity in the y direction only. But we're given the angle at which the ball is hit (3° to the horizontal). So to find the velocity (sum of the velocity in x and y direction on impact) we can use: sin 3° = opposite/hypotenuse = (velocity in y direction only) / (velocity) So rearranging, velocity = (velocity in y direction only) / sin 3° = √(2gh)/sin 3° = (√(2 x 9.8 x 0.33)) / sin 3° = 49 m/s at 3° to the horizontal (2 sig figs)
The bottleneck event of the plants in an area results in secondary succession.
<h2>What is bottleneck event?</h2>
A bottleneck is an event that drastically reduces the population size of an organism. The bottleneck may be caused by various events, such as an environmental disaster, the hunting or habitat destruction that results in the deaths of organisms.
<h3>Secondary succession</h3>
Secondary succession is a type of ecological succession in which plants and animals recolonize a habitat after a major disturbance such as a devastating flood, wildfire, landslide, lava flow, or human activity e.g., farming or road or building construction.
Learn more about succession here: brainly.com/question/1212975