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
Which of Newton's laws of motion describes the motion of an object that has a net<br> force of ON?
algol [13]

Newton's first and second laws of motion both do, but I think the one you're looking for is: <em>The First Law of Motion</em>.  That description is a little more direct.

It says that if an object is not acted on by a net external force, then it continues in "constant, uniform motion".

3 0
2 years ago
Which model shows how an image appears to a person when they look through a concave lens?
slava [35]
What models are you talking about
7 0
2 years ago
What refers to a soils ability to transmit water
Keith_Richards [23]

Answer:

Permeability is also called as hydraulic conductivity, which refers to the ability of a soil to conduct water. ... Composition is of four basic categories: water, air, organic matter and minerals.

Explanation:

idk, i knew a bit and looked it up to make sure i was correct.

6 0
3 years ago
When sanitizing dishcloths or cutting boards at home using chlorine bleach, how much bleach should be added, per quart of water?
ahrayia [7]

When using chlorine bleach, the proper amount for one gallon of water is 8 ounces, or one cup. Now, since there's 4 quarts in a gallon,divide the 8 ounces by 4. You get 2. So you should put 2 ounces (or 1/4 cup) of chlorine bleach in a quart of water. Hope this helps!

4 0
3 years ago
In a nuclear fusion reaction, the mass of the products is _____ the mass of the reactants.
JulijaS [17]

Answer:

more than

Explanation:

In a nuclear fusion reaction, the mass of the products is more than the mass of the reactants.

7 0
3 years ago
Other questions:
  • The triceps muscle in the back of the upper arm is primarily used to extend the forearm. Suppose this muscle in a professional b
    8·1 answer
  • An object of mass m moves in one dimension with velocity given by v a/x for a a constant. Find the force on the object as a func
    10·1 answer
  • At full power, how long would it take for the car to accelerate from 0 to 62.0 mph ? neglect friction and air resistance.
    5·1 answer
  • A _____ map provides information about how and when rocks formed in a particular area.A.contourB.geologicC.topographic
    11·1 answer
  • Two identical cars, one on the moon and one on earth, are rounding banked curves at the same speed with the same radius and the
    6·1 answer
  • What does the electron do in an atom?
    12·1 answer
  • A 1,300 kg wrecking ball hits the building at 1.07 m/s2.
    11·2 answers
  • A satellite is to be launched into an orbit of radius,r Show that v = 2gr, where V is the
    7·1 answer
  • On which planet would you weigh less?
    13·2 answers
  • A particle begins to move with uniform acceleration. If in the first second it travels 3m
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!