Answer:
pf = 198.8 kg*m/s
θ = 46.8º N of E.
Explanation:
- Since total momentum is conserved, and momentum is a vector, the components of the momentum along two axes perpendicular each other must be conserved too.
- If we call the positive x- axis to the W-E direction, and the positive y-axis to the S-N direction, we can write the following equation for the initial momentum along the x-axis:

- We can do exactly the same for the initial momentum along the y-axis:

- The final momentum along the x-axis, since the collision is inelastic and both objects stick together after the collision, can be written as follows:

- We can repeat the process for the y-axis, as follows:

- Since (1) is equal to (3), replacing for the givens, and since p₀Bₓ = 0, we can solve for vfₓ as follows:

- In the same way, we can find the component of the final momentum along the y-axis, as follows:

- With the values of vfx and vfy, we can find the magnitude of the final speed of the two-object system, applying the Pythagorean Theorem, as follows:

- The magnitude of the final total momentum is just the product of the combined mass of both objects times the magnitude of the final speed:

- Finally, the angle that the final momentum vector makes with the positive x-axis, is the same that the final velocity vector makes with it.
- We can find this angle applying the definition of tangent of an angle, as follows:

⇒ θ = tg⁻¹ (1.06) = 46.8º N of E
I believe the answer is C- payload
In very very very round figures . . .
-- Jupiter is about 5.2 times as far from the sun as the earth is.
-- So when Jupiter and the EARTH are aligned in both orbits, Jupiter is about
(4.2) x (150 million kilometers) = 630 million kilometers
Time = (distance) / (speed)
The speed of light and radio is 300,000 km/second
Time = (630 million / 300 thousand)
<em>Time = 2,100 seconds</em>
That's 35 minutes.
Answer: TRUE
Explanation:
Atoms are happy when they will not react with other elements while having a full outside ring of electrons because this makes them to be noble.
A stable atom possesses full outside ring of electrons while unstable one does not. So, they are happy also because of stability.