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B- V and R are directly proportional to eachother
Answer:
(a)2.7 m/s
(b) 5.52 m/s
Explanation:
The total of the system would be conserved as no external force is acting on it.
Initial momentum = final momentum
⇒(4.30 g × 943 m/s) + (730 g × 0) = (4.30 g × 484 m/s) + (730 g × v)
⇒ 730 ×v = (4054.9 - 2081.2) =1973.7
⇒v=2.7 m/s
Thus, the resulting speed of the block is 2.7 m/s.
(b) since, the momentum is conserved, the speed of the bullet-block center of mass would be constant.

Thus, the speed of the bullet-block center of mass is 5.52 m/s.
Her mass is still 70 kg
Explanation:
The mass of an object is an intrinsec property of the object that gives a measure of the "amount of matter" inside the object.
Being an intrinsec property, it depends only on the object itself, not on its location: therefore, the mass of an object is always the same in different locations. Therefore, the mass of the astronaut in the spacecraft is still the same as if she was on the earth, 70 kg.
On the contrary, the weight of an object is the force of gravity acting on the object, and it is given by

where
m is the mass
g is the acceleration of gravity
While m is always the same, the value of g changes based on the location: therefore, the weight of an object changes depending on the location.
Learn more about gravity:
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