All categories

3 years ago

Two Jupiter-size planets are released from rest 1.40×10^11m apart. What is their speed as they crash?,

Physics

1 answer:

prisoha [69]3 years ago

4 0

To solve this problem, we derive Newton’s Law of Universal Gravitation as the basis of computation

Where: M₁ = mass of planet #1

M₂ = mass of planet #2

M = total mass

R₁ = radius of planet #1

R₂ = radius of planet #2

d₁ = initial distance between planet centers

d₂ = final distance between planet centers

a = semimajor axis of plunge orbit

v₁ = relative speed of approach at distance d₁

v₂ = relative speed of approach at distance d₂

To determine velocity during the impact of two heavenly bodies, the solution is as follows:

M₁ = M₂ = 1.8986e27 kilograms

M = M₁ + M₂ = 3.7972e27 kg

G = 6.6742e-11 m³ kg⁻¹ sec⁻²

GM = 2.5343e17 m³ sec⁻²

d₁ = 1.4e11 meters

a = d₁/2 = 7e10 meters

R₁ = R₂ = 7.1492e7 meters

d₂ = R₁ + R₂ = 1.42984e8 meters

v₁ = 0

v₂ = √[GM(2/d₂−1/a)]

v₂ = 59508.4 m/s

The final answer is 59508.4 m/s.

You might be interested in

When a lens refracts different wavelengths at different angles, causing the light in the lens that passes through the edges to b

kondaur [170]

The technical name was kinda given in the question, and I'm guessing that's what they want: Dispersion. It refers to the phenomenon of different frequencies traveling at different speeds through a medium. This is due to the fact that the relative electric permittivity is a complex quantity that is a function of frequency. The relative electric permittivity, $\epsilon_{r}$ , is related to the speed of the wave in the medium by the relation:
$c' = \frac{c}{ \sqrt{ \epsilon_{r} } }$
Since this speed is a function of permittivity, and permittivity is a function of frequency, speed is a function of frequency.
Probably more info than you needed....

5 0

4 years ago

In forced convection, the fluid is forced to move by external means such as a fan, pump, or the wind. You must provide an answer

ikadub [295]

Answer:

True

Explanation:

The heat trasnfer caused by the bulk movement of molecules of fluids is known as convection. Convection has two constituent process advection and diffusion. Examples of natural convection include atmospheric circulation, weather, oceanic circulation, mantle convection etc.

In forced convection the movement of fluid is caused by an external device (source). A fan, pump used to move fluid are external sources that cause fluid movement, the movement of fluid is not happening naturally.

6 0

4 years ago

A student weighed 1.25 grams of NaHCO3 pre-weighed 50 mL beaker. In the fume hood, he slowly

Anarel [89]

Answer:

wait

Explanation:

6 0

3 years ago

ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements.

Reptile [31]

0 because he did not change his position where he was in the beginning

3 0

3 years ago

Read 2 more answers

The New York Wheel is the world's largest Ferris wheel. It's 183 meters in diameter and rotates once every 37.3 min.

bagirrra123 [75]

The radius of the Ferris wheel is r = 83/2 = 91.5 m.

The angular velocity is
ω = (2π rad)/(37.3*60 s) = 2.8075 rad/s
The tangential velocity is
v = rω = 0.2569 m/s

The arc length traveled in 8.6 min (= 8.6*60 s = 516 s) is
s = (91.5 m)*(2.8075 rad/s)*(516 s) = 132.553 m
The central angle swept is
θ = 132.553/91.5 = 1.4487 rad

From the vector diagram, the change in velocity is (from the Law of Cosines)
Δv² = v²(1 - 2 cosФ)
where Ф = Π - 1.4487 = 1.6929 rad
Δv² = 0.2569²[1 - 2*(-0.1218)] = 0.0821
Δv = 0.2865 m/s

The acceleration is
a₁ = (0.2865 m/s)/(516 s) = 5.6 x 10⁻⁴ m/s²

The actual centripetal acceleration is directed toward the center of the wheel, and its value is
a = v²/r = 0.2569²/91.5 = 7.2 x 10⁻⁴ m/s²

Answer:
a = 7.2 x 10⁻⁴ m/s², the centripetal acceleration acting toward the center of the wheel.
The magnitude of a₁ is 5.6 x 10⁻⁴ m/s², but it is not directed toward the center of the wheel.

7 0

3 years ago