1. Understand the Concepts

* Kinetic Energy (KE): The energy an object possesses due to its motion. KE = (1/2)mv² where m is mass and v is velocity.

* Potential Energy (PE): The energy an object possesses due to its position relative to a reference point. PE = mgh where m is mass, g is acceleration due to gravity (9.8 m/s²), and h is height.

* Conservation of Energy: In the absence of external forces, the total mechanical energy (KE + PE) of a system remains constant.

2. Apply Conservation of Energy

Since the rock falls from a height, its initial energy is all potential energy (PE). When it hits the ground, its potential energy is converted into kinetic energy (KE). Therefore:

* Initial PE = Final KE

3. Solve for the Mass

* Initial PE: mgh = m * 9.8 m/s² * 10 m = 98m J

* Final KE: 33000 J

* Set them equal: 98m J = 33000 J

* Solve for mass (m): m = 33000 J / 98 m/s² ≈ 336.7 kg

4. Calculate Weight

* Weight = mass * gravity

* Weight = 336.7 kg * 9.8 m/s² ≈ 3300 N

Therefore, the weight of the rock is approximately 3300 N.