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Which law is in control of a spacecraft that cruises through space at a constant speed without using any fuel?
  • a)
    Universal law of gravitation
  • b)
    Newton’s third law
  • c)
    Newton’s second law
  • d)
    Newton’s first law
Correct answer is 'D'. Can you explain this answer?
Verified Answer
Which law is in control of a spacecraft that cruises through space at ...
According to Newton’s first law the spacecraft will continue moving with constant speed unless an external opposite force is applied on it.
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Which law is in control of a spacecraft that cruises through space at ...
Given information:
- Mass of the object = 6 kg
- Three forces acting on the object:
- F1 = 20i + 30j N
- F2 = 8i - 50j N
- F3 = 2i + 2j N

To find: Acceleration of the object

Solution:
- We know that the net force acting on the object, F_net = F1 + F2 + F3
- Using vector addition, we can find the net force: F_net = (20+8+2)i + (30-50+2)j = 30i - 18j N
- Now, using Newton's second law of motion, F_net = m*a, where m is the mass of the object and a is the acceleration produced.
- Substituting the values, we get: 30i - 18j = 6*a
- Dividing both sides by 6, we get: a = (30/6)i - (18/6)j = 5i - 3j m/s^2

Therefore, the acceleration of the object is 5i - 3j m/s^2, which is option 'B'.
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Which law is in control of a spacecraft that cruises through space at ...
Given data:
Mass of the object, m = 6 kg
Forces acting on the object,
F1= 20i + 30j N
F2= 8i - 50j N
F3= 2i + 2j N

To find: Acceleration of the object

Solution:
The net force acting on the object can be found by adding all the given forces.
Fnet = F1 + F2 + F3

Fnet = (20i + 30j) + (8i - 50j) + (2i + 2j) N
Fnet = 30i - 18j N

Now, using Newton's second law of motion, we know that
Fnet = ma

where a is the acceleration of the object.

Using the above equation, we can find the acceleration of the object as follows:
a = Fnet/m

a = (30i - 18j) / 6 kg
a = 5i - 3j m/s²

Hence, the correct answer is option 'B' which says that the acceleration of the object is 5i - 3j m/s².
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Which law is in control of a spacecraft that cruises through space at a constant speed without using any fuel?a)Universal law of gravitationb)Newton’s third lawc)Newton’s second lawd)Newton’s first lawCorrect answer is 'D'. Can you explain this answer?
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