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
I am Lyosha [343]
3 years ago
7

12. Unmanned Space Probe A 2500 kg unmanned space probe is moving in a straight line at a constant speed of 300 m/s. Control roc

k- ets on the space probe execute a burn in which a thrust of 3000 N acts for 65.0 s. (a) What is the change in the magnitude of the probe’s translational momentum if the thrust is backward, forward, or di- rectly sideways? (b) What is the change in kinetic energy under the same three conditions? Assume that the mass of the ejected burn products is negligible compared to the mass of the space probe.

Physics
2 answers:
andreyandreev [35.5K]3 years ago
6 0

Answer:

a) Backward - \Delta p = - 195000\,kg\cdot \frac{m}{s}, Forward - \Delta p = + 195000\,kg\cdot \frac{m}{s}, Directly sideways - \Delta p = \pm 195000\,kg\cdot \frac{m}{s}, b) Backward - \Delta K = -50895000\,J, Forward - \Delta K = + 66105000\,J, Directly sideways - \Delta K = + 7605000\,J.

Explanation:

a) All scenarios are analyzed by means of the Principle of Momentum Conservation and the Impact Theorem.

Case I - Backward

\Delta p = -(3000\,N)\cdot (65.0\,s)

\Delta p = - 195000\,kg\cdot \frac{m}{s}

Case II - Forward

\Delta p = +(3000\,N)\cdot (65.0\,s)

\Delta p = + 195000\,kg\cdot \frac{m}{s}

Case III - Directly sideways

\vec p _{2}-\vec p_{1} = 0\,\frac{kg\cdot m}{s}\cdot i \pm 195000\, \,\frac{kg\cdot m}{s}\cdot j

The magnitude of the change of the probe's translational momentum is:

\Delta p = \pm 195000\,kg\cdot \frac{m}{s}

b) The change in kinetic energy is given by the Work-Energy Theorem:

Case I - Backward

The final speed of the probe is:

v= 300\,\frac{m}{s}-\left(\frac{3000\,N}{2500\,kg}\right)\cdot (65\,s)

v = 222\,\frac{m}{s}

The change in kinetic energy is:

\Delta K = \frac{1}{2} \cdot (2500\,kg)\cdot \left[(222\,\frac{m}{s} )^{2}-(300\,\frac{m}{s} )^{2} \right]

\Delta K = -50895000\,J

Case II - Forward

The final speed of the probe is:

v= 300\,\frac{m}{s}+\left(\frac{3000\,N}{2500\,kg}\right)\cdot (65\,s)

v = 378\,\frac{m}{s}

The change in kinetic energy is:

\Delta K = \frac{1}{2} \cdot (2500\,kg)\cdot \left[(378\,\frac{m}{s} )^{2}-(300\,\frac{m}{s} )^{2} \right]

\Delta K = + 66105000\,J

Case III - Directly sideways

The final speed of the probe in the direction perpendicular to the motion line is:

v= 0\,\frac{m}{s}+\left(\frac{3000\,N}{2500\,kg}\right)\cdot (65\,s)

v = 78\,\frac{m}{s}

The change in kinetic energy is:

\Delta K = \frac{1}{2} \cdot (2500\,kg)\cdot \left[(300\,\frac{m}{s} )^{2} + (78\,\frac{m}{s} )^{2} -(300\,\frac{m}{s} )^{2} \right]

\Delta K = + 7605000\,J

Lena [83]3 years ago
4 0

answer of both parts are attached below



You might be interested in
When a person stands on a rotating merry-go-round the frictional force?
wel
Answer. dry friction- <span> resists relative lateral motion of two solid surfaces in contact.</span>
4 0
3 years ago
Water vapor enters the atmosphere through
Blizzard [7]

Answer:

Heat from the Sun causes water to evaporate from the surface of lakes and oceans. This turns the liquid water into water vapor in the atmosphere. Plants, too, help water get into the atmosphere through a process called transpiration! ... Water can also get into the atmosphere from snow and ice.

Most water vapor enters the atmosphere via evaporation and transpiration. Evaporation occurs when a single water molecule on a liquid water surface gains enough kinetic energy (often by solar radiation) to break the bond which holds the molecules together. Really Hopes this helps!

Explanation:

6 0
2 years ago
When non-metric units were used in the United Kingdom, a unit of mass called the pound-mass (lbm) was employed, where 1lbm=0.453
Drupady [299]

Answer:

a) 0.022%

b) 10014.32 lb

Explanation:

a) Percentage uncertainty would be

0.0001\times \frac{100}{0.4539}=0.022%

Percent uncertainty is 0.022%

b) For 1 kg uncertainty mass in kg would be

\frac{1}{0.022}\times {100}=4545.5\ kg

Mass in pounds would be

\frac{4545.5}{0.4539}=10014.32\ lb

Mass in pound-mass is 10014.32 lb

8 0
3 years ago
a flashlight has a resistance of 2.4 ohms. what voltage is applied by the batteries if the current in the circuit is 2.5A?
Mashcka [7]

E = I R

That means 

        Voltage = (current) x (resistance)

                     =   (2.5 A)  x  (2.4 ohms)

                     =       6 volts .


8 0
3 years ago
Read 2 more answers
How much is the moon in the first quarter actually lit
grandymaker [24]
Half of the moon is illuminated.
8 0
3 years ago
Read 2 more answers
Other questions:
  • How could you show the effect that gravity has on you? Name 2 ways and explain how they would show that gravity affects you.
    12·1 answer
  • Determine whether each substance will sink or float in corn syrup, which has a density of 1.36 g/cm3. Write “sink” or “float” in
    11·2 answers
  • In which situation will the friction between an object and the surface on which it is moving be decreased? a. the object is push
    10·1 answer
  • Besides bones, the skeleton also contains connective tissues called the ???
    9·2 answers
  • Which of the following is the correct name for CCl4
    11·2 answers
  • HEY can anyone tell me the Atomic Mass of Helium and also what ever the number u get pls round it!!
    11·2 answers
  • A baseball starts from rest and rolls 40.0 m down a hill in 10.0 seconds what is the acceleration
    14·1 answer
  • a waterwheel built in Hamah, Syria, has a radius of 20 m . If the tangential velocity at the wheels edge is 7.85 m/s , what is t
    7·1 answer
  • Please help (will mark brainliest)
    5·2 answers
  • Jan Baptista van Helmont's famous experiment incorrectly showed that the plants produce most of their mass from:
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!