You have just landed on Planet X. You release a 100 g ball from rest from a height of 10.0 m a

step 1 Now here in this problem we are given that you release a hundred gram ball so mass is 100 gram f

You have just landed on Planet X. You release a 100 g ball...

You have just landed on Planet X. You release a $100 \mathrm{~g}$ ball from rest from a height of $10.0 \mathrm{~m}$ and measure that it takes $3.40 \mathrm{~s}$ to reach the ground. Ignore any force on the ball from the atmosphere of the planet. How much does the $100 \mathrm{~g}$ ball weigh on the surface of Planet X?

Key Concepts

Acceleration due to Gravity

The acceleration due to gravity is a measure of how quickly objects accelerate when falling freely under the influence of a planet's gravitational field. It can be determined experimentally by analyzing the relationship between the distance an object falls and the time it takes to fall that distance using kinematic formulas.

Free Fall Motion

Free fall motion describes the movement of an object that is subject only to the force of gravity, with air resistance ignored. This allows for the use of kinematic equations that relate displacement, time, and acceleration to determine how an object moves when dropped from rest.

Weight

Weight is the force that gravity exerts on an object's mass. It is calculated by multiplying the object's mass by the acceleration due to gravity. This calculation is fundamental in understanding how gravitational differences between planets affect the magnitude of force felt by objects.

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