Answer:
Time = 40 s
It will take the spaceship 40s to coast that distance.
Explanation:
Using the impulse momentum equation;
Impulse = change in momentum
Ft = m(∆v) ........1
Given;
Force F = 1200kN
time of action t = 20s
Mass of spaceship m = 8.0×10^4 kg
∆v = change in velocity
Substituting the values into equation 1;
1200kN × 20s =8.0×10^4 kg × ∆v
∆v = 1200000×20/80000
∆v = 300 m/s
Since it was initially at rest, V0 = 0
Final velocity V2 = 300 + 0
V2 = 300m/s
Time To travel 12 km,
Time = distance/speed
Distance = 12 km = 12000m
Speed = 300m/s
Time = 12000/300
Time = 40 s
It will take the spaceship 40s to coast that distance.
Answer:
E=1.50\times 10^{-18}J
Explanation:
Energy of the one dimensional infinite well,

Given that, 
For the ground state n=1,
Therefore energy is,

Answer:
The speed at the aphelion is 10.75 km/s.
Explanation:
The angular momentum is defined as:
(1)
Since there is no torque acting on the system, it can be expressed in the following way:




(2)
Replacing equation 1 in equation 2 it is gotten:
(3)
Where m is the mass of the comet,
is the orbital radius at the aphelion,
is the speed at the aphelion,
is the orbital radius at the perihelion and
is the speed at the perihelion.
From equation 3 v_{a} will be isolated:
(4)
Before replacing all the values in equation 4 it is necessary to express the orbital radius for the perihelion and the aphelion from AU (astronomical units) to meters, and then from meters to kilometers:
⇒ 
⇒ 
⇒
⇒
Then, finally equation 4 can be used:


Hence, the speed at the aphelion is 10.75 km/s.
Answer:
8.829 m/s²
Explanation:
M = Mass of Earth
m = Mass of Exoplanet
= Acceleration due to gravity on Earth = 9.81 m/s²
g = Acceleration due to gravity on Exoplanet



Dividing the equations we get

Acceleration due to gravity on the surface of the Exoplanet is 8.829 m/s²