An object is going 10 m/s when it hits the ground.

(1) 5.1

Explanation

Assume mass of the object = 5 kg

We'll use the equation for gravitational potential energy (GPE) and the equation for kinetic energy (KE):

Gravitational Potential Energy (GPE) = mass * gravitational acceleration * height Kinetic Energy (KE) = 0.5 * mass * velocity²

Since the GPE is converted into KE during the fall, we can set these two energies equal:

GPE = KE

Let's plug in the given values:

• Mass (m) = 5 kg
• Gravitational acceleration (g) ≈ 9.81 m/s² (standard Earth's gravitational acceleration)
• Velocity (v) = 10 m/s

Now, we can solve for the height (h):

h = \(\frac{(0.5 \cdot v^2)}{g}\)

h = \(\frac{(0.5 \cdot 10^2)}{9.81}\)

h = \(\frac{50}{9.81}\)

h ≈ 5.1 meters

The object fell from a height of approximately 5.1 meters.