Final answer:
The weight and mass of a particle in different gravitational fields are calculated using the formula weight = mass * acceleration due to gravity (g).
Step-by-step explanation:
To calculate the weight of a particle, we can use the formula:
Weight = mass * acceleration due to gravity (g)
(a) At a point where g = 9.8 m/s^2, the weight of the particle is 32 N. To find the mass, we rearrange the formula to:
mass = weight / g
So, the mass of the particle is 32 N / 9.8 m/s^2 = 3.27 kg.
(b) At a point where g = 5.3 m/s^2, we can use the same formula to find the weight and mass. We have:
Weight = mass * 5.3 N.
(c) If the particle is moved to a point in space where g = 0, the weight of the particle will be zero because there is no acceleration due to gravity. However, the mass of the particle will remain the same.
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