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
IceJOKER [234]
4 years ago
6

A rocket in deep space has an empty mass of 220 kg and exhausts the hot gases of burned fuel at 2500 m/s. What mass of fuel is n

eeded to reach a top speed of 4000 m/s
Physics
1 answer:
Scilla [17]4 years ago
8 0

Answer:

Explanation:

Let fuel is released at the rate of dm / dt where m is mass of the fuel

thrust created on rocket

= d ( mv ) / dt

= v dm / dt

this is equal to force created on the rocket

= 220 dv / dt

so applying newton's law

v dm / dt = 220 dv / dt

v dm = 220 dv

dv / v = dm / 220

integrating on both sides

∫ dv / v    = ∫ dm / 220

lnv =  ( m₂ - m₁ ) / 220

ln4000 - ln 2500 = ( m₂ - m₁ ) / 220

( m₂ - m₁ ) = 220 x ( ln4000 - ln 2500 )

( m₂ - m₁ ) = 220 x ( 8.29  - 7.82 )

= 103.4 kg .

You might be interested in
Which formula represents Charles’s law? P1V1 = P2V2 V1T1 = V2T2
Lynna [10]

Charles's law is best represent by the formula, V1T2= V2T1.

Charles's law state that for an ideal gas, at constant pressure, the absolute volume of a gas is directly proportional to the temperature.

that is

V α T

Or

V1T2= V2T1.

3 0
3 years ago
Read 2 more answers
Why we cannt cook food on high attitude (like mountain where exist low temperatures )? ​
zloy xaker [14]
Cooking takes longer because water and other liquids evaporate faster and boil at lower temperatures.At sea level water boils at 212degrees Fahrenheit but at an altitude of 7,500 feet, it boils at about 198 degrees. Foods that are prepared by boiling or simmering will cook at a lower temperature and it will take longer to cook them. Hope this helps!! ; )
4 0
3 years ago
How would the period of pendulum differ from an equivalent one on earth?<br>​
Mars2501 [29]

Answer:

If you know that that free fall acceleration g on the Moon is about 6 times less than on the Earth, it gives you the answer: on the Moon the same pendulum will have a period about √6≈2.45 longer than on the Earth.

5 0
3 years ago
How much mass should be attached to a vertical ideal spring having a spring constant (force constant) of 39.5 n/m so that it wil
mrs_skeptik [129]
The frequency of a simple harmonic oscillator such as a spring-mass system is given by
f= \frac{1}{2 \pi}   \sqrt{ \frac{k}{m} }
where 
k is the spring constant
m is the mass attached to the spring.

Re-arranging the formula, we get:
m= \frac{k}{4 \pi^2 f^2}
and since we know the constant of the spring:
k=39.5 N/m
and the frequency of oscillation:
f=1.00 Hz
we can find the value of the mass attached to it:
m= \frac{39.5 Hz}{4 \pi^2 (1.00 Hz)^2} = 1.00 kg
7 0
3 years ago
How much work is done when a 100 N force moves a block 59 m?
xxTIMURxx [149]

Answer:

5900J

Explanation:

Work=Forse*Distance

work = J, Jewls

100*59=5900

Hop this helps and can u think about brainlist

i put a picture on how to find these answers, if u got any more questions im here

3 0
3 years ago
Other questions:
  • S waves are longitudinal seismic waves. T F
    15·2 answers
  • "it was so cold yesterday that the temperature only reached 275." which temperature scale is being used? what would be the corre
    12·2 answers
  • How many quantum numbers are needed to describe the energy state of an electron in an atom?
    7·1 answer
  • The unit for measuring heat is:<br> 1.Kelvin<br> 2.Watts<br> 3.Newtons<br> 4.Joules
    10·2 answers
  • If the equation on the board had shown 3 atoms of carbon on the reactants side, how many atoms of carbon would need to be repres
    10·2 answers
  • What will happen if a car experiences a 300 N force to the right from the engine and a separate 150 N force due to friction and
    11·1 answer
  • Is Throwing a baseball and a football Newton's 2nd law of motion ?
    5·2 answers
  • Question below in photos!!(there are 2 photos) Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
    10·1 answer
  • Give the names of two animals which reproduce sexually​
    9·1 answer
  • If i step on a shard of glass while playing volleyball barefoot, which path will the reflex to pull my foot up follow?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!