The acceleration due to gravity on the moon is about 1.6 m/s. If you weigh 539N on earth, how much would you way on the moon.

Weight = 88N

Explanation:

Given the following data;

Acceleration due to gravity on moon = 1.6m/s²

Weight on earth = 539N

To find the weight on moon.

First of all, we would calculate the mass;

Weight = mass * acceleration due to gravity.

We know that acceleration due to gravity on earth is equal to 9.8m/s²

Substituting into the equation, we have;

539 = mass * 9.8

Mass = 539/9.8

Mass = 55 kg.

Now, we solve for the weight on moon.

Weight = 55 * 1.6

Weight = 88N

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s