1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
makvit [3.9K]
3 years ago
8

A rocket has landed on planet x, which has half the radius of earth. An astronaut onboard the rocket weighs twice as much on pla

net x as on earth. If the escape velocity for the rocket taking off from earth is u0 , then its escape velocity on planet x is
(a) 2u0
(b) 2u0
(c) u0
(d) u0 2
(e) u0 4
Physics
1 answer:
Nastasia [14]3 years ago
4 0

Answer:

Option (c) u0

Explanation:

The escape velocity has a formula as:

V = √(2gR)

Where V is the escape velocity,

g is the acceleration due to gravity

R is the radius of the earth.

Now, from the question, we were told that the escape velocity for the rocket taking off from earth is u0 i.e

V(earth) = u0

V(earth) = √(2gR)

u0 = √(2gR) => For the earth

Now, let us calculate the escape velocity for the rocket taking off from planet x. This is illustrated below below:

g(planet x) = 2g (earth) => since the weight of the astronaut is twice as much on planet x as on earth

R(planet x) = 1/2 R(earth) => planet x has half the radius of earth

V(planet x) =?

Applying the formula V = √(2gR), the escape velocity on planet x is obtained as follow:

V(planet x) = √(2g(x) x R(x))

V(planet x) = √(2 x 2g x 1/2R)

V(planet x) = √(2 x g x R)

V(planet x) = √(2gR)

The expression obtained for the escape velocity on planet x i.e V(planet x) = √(2gR), is exactly the same as that obtained for the earth i.e V(earth) = √(2gR)

Therefore,

V(planet x) = V(earth) = √(2gR)

But from the question, V(earth) is u0

Therefore,

V(planet x) = V(earth) = √(2gR) = u0

So, the escape velocity on planet x is u0

You might be interested in
The density of lead is 30.2g/cm^3.what is the value in kilograms per meter cube?
V125BC [204]
Answer:
11300 kgm3

Hope this helps
3 0
2 years ago
When you let the air go out of a balloon the balloon moves or shoots like a rocket. Would this happen if there was no surroundin
Pie

Answer:

The balloon would still move like a rocket

Explanation:

The principle of work of this system is the Newton's third law of motion, which states that:

"When an object A exerts a force on an object B (action), object B exerts an equal and opposite force (reaction) on object A"

In this problem, we can identify the balloon as object A and the air inside the balloon as object B. As the air goes out from the balloon, the balloon exerts a force (backward) on the air, and as a result of Newton's 3rd law, the air exerts an equal and opposite force (forward) on the balloon, making it moving forward.

This mechanism is not affected by the presence or absence of surrounding air: in fact, this mechanism also works in free space, where there is no air (and in fact, rockets also moves in space using this system, despite the absence of air).

3 0
3 years ago
một quả bóng quần vợt nặng 0,060kg chuyển động với tốc độ 45,0m/s va vào bức tường dưới một góc 45 độ rồi bật trở ra với ucngf t
Vinvika [58]

can you tell in English.......

5 0
3 years ago
What happens to the volume of a gas when pressure is applied? A. increases B. decreases C. Stays the same D. evaporates
BaLLatris [955]

Answer:

Decreases

Explanation:

8 0
3 years ago
Alex want to test factors that affect the reaction rate of sugar in water
miv72 [106K]
This aint even a question

7 0
3 years ago
Other questions:
  • The temperature of 5 pounds of water is 40 degrees. Btus are added until the temp of
    5·1 answer
  • A high diver of mass 51.7 kg steps off a board 10.0 m above the water and falls vertical to the water, starting from rest. If he
    13·1 answer
  • What type of waves move energy forward, but the source makes up and down
    14·1 answer
  • In a 350-m race, runner A starts from rest and accelerates at 1.6 m/s^2 for the first 30 m and then runs at constant speed. Runn
    9·1 answer
  • Which term describes the number of thoughs that pass a point in a given amount of time
    10·1 answer
  • What is magnetism? explaination​
    5·2 answers
  • ASAP:
    8·1 answer
  • Pls help quick too.................
    15·1 answer
  • Obtenha a velocidade escalar média, em cada caso:
    8·1 answer
  • The waves produced on the earth’s surface is called
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!