On planet x, an object weighs 19.7 n. on planet b where the magnitude of the free-fall acceleration is 1.92 g (where g = 9.8 m/s^2 is the gravitational acceleration on earth), the object weighs 29.8 n. the acceleration of gravity is 9.8 m/s^2. what is the mass of the object be on earth? answer in units of kg what is the free-fall acceleration on planet x? answer in units of m/s^2

Mass of object in Earth = 1.58 kg.

Free-fall acceleration on planet X = 12.47 m/s²

Explanation:

We know weight is the product of mass and acceleration due to gravity.

Mass is a constant.

           W = mg

On planet X, an object weighs 19.7 N.

On planet B where the magnitude of the free-fall acceleration is 1.92 g (where g = 9.8 m/s^2 is the gravitational acceleration on Earth), the object weighs 29.8 N.

Mass of object in Earth = 1.58 kg.

We need to find free-fall acceleration on planet X.

Free-fall acceleration on planet X = 12.47 m/s²

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.