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.
View all questions of this test
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'.
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.
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.