Physics, 23.07.2019 16:00 Neon29

To protect their young in the nest, peregrine falcons will fly into birds of prey (such as ravens) at high speed. in one such episode, a 600 g falcon flying at 20.0 m/s ran into a 1.50 kg raven flying at 9.00 m/s . the falcon hit the raven at a right angle to its original path and bounced back with a speed of 5.00 m/s . by what angle did the falcon change the raven's direction of motion?

Answers: 1

Show answers

Answers

The momentum of the falcon before collision is 0.6 * 20 = 12000 kgm/s which is actually the momenum of the falcon in the x-component. I had converted 600g to kg. After the collision the x-component of the raven is now mv2cos(thetha) where v2 is the final velocity of the raven and theta is the angle at which the falcon hits the raven. So we have that the falcon's final velocity = 600 * 5 * cos (theta). Likewise, after getting hit the the falcon, the raven's final momentum of is = m2v2cos(theta) = 1.5 * 9 * cos(theta). There's no motion along the y-components. So equating we have, momentum before collision = momentum after collision of the raven + momentum after collision of the falcon. So we have 12000 = 3000cos(theta) + 13.5cos(theta). Cos(theta)(3000 + 13.5) = 12000. Theta = cos^-1( 12000/3013.5 = 3.98 So theta =

Answer from: Quest

Gas will most likely fill the container

Answer from: Quest

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

$x(t)=ax(x-6)$

where $a$ is unknown. because the position is parabolic, there is symmetry about the midpoint at $t=3$ , and we know that

$x(3)=10\implies -9a=10\implies a=-\dfrac{10}9$

so that the position function is

$x(t)=-\dfrac{10}9x(x-6)$

which means the velocity is

$v(t)=\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{20}9x+\dfrac{60}9$

then the total distance traveled is

$\displaystyle\int_{t=0}^{t=6}|v(t)|\,\mathrm dt=\left\{\int_{t-0}^{t=3}-\int_{t=3}^{t=6}\right\}v(t)\,\mathrm dt=20$

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at $x=0$ and ends at $x=0$ , so its displacement is 0.

Another question on Physics

Physics, 22.06.2019 15:00

Mechanical energy is when the amount of kinetic and potential energies added together remains the same. conserved created lost

Answers: 1

Answer

Physics, 22.06.2019 17:30

Chameleons catch insects with their tongues, which they can rapidly extend to great lengths. in a typical strike, the chameleon's tongue accelerates at a remarkable 220 m/s2 for 20 ms, then travels at constant speed for another 30 ms.

Answers: 1

Answer

Physics, 23.06.2019 05:00

Why do some scientists and archeologists think that volta was not the first person to build a battery

Answers: 2

Answer

Physics, 23.06.2019 09:30

To solve a problem using the equation for kepler ‘s third law , enrico must convert the average distance of mars from the sun from meters into astronomical units . how should he make the conversion ?

Answers: 3

Answer

You know the right answer?

To protect their young in the nest, peregrine falcons will fly into birds of prey (such as ravens) a...

Questions