1. Understand the Concepts

* Kinetic Energy: The energy an object possesses due to its motion. The formula for kinetic energy (KE) is: KE = (1/2) * mass * velocity²

* Potential Energy: The energy an object possesses due to its position. The formula for potential energy (PE) is: PE = mass * gravity * height

* Conservation of Energy: In this scenario, we assume no energy is lost to friction or air resistance. This means the potential energy the rock has at the top is converted into kinetic energy just before it hits the ground.

2. Find the Rock's Velocity

* We know the rock's kinetic energy (KE = 33000 J) and the height it falls (10 m). Since energy is conserved, we can equate the potential energy at the top to the kinetic energy at the bottom:

PE = KE

mass * gravity * height = (1/2) * mass * velocity²

* We can cancel out the mass on both sides:

gravity * height = (1/2) * velocity²

* Plug in the values (gravity = 9.8 m/s²):

9.8 m/s² * 10 m = (1/2) * velocity²

* Solve for velocity:

velocity² = 196 m²/s²

velocity = 14 m/s

3. Calculate the Rock's Mass

* Now that we know the velocity, we can use the kinetic energy formula to find the mass:

KE = (1/2) * mass * velocity²

33000 J = (1/2) * mass * (14 m/s)²

* Solve for mass:

mass = (2 * 33000 J) / (14 m/s)²

mass ≈ 33.9 kg

4. Calculate the Rock's Weight

* Weight (force of gravity) is calculated using:

Weight = mass * gravity

Weight = 33.9 kg * 9.8 m/s²

Weight ≈ 332 N

Therefore, the rock's weight is approximately 332 Newtons.