Answer :
Final answer:
Using the gravitational potential energy formula, PE = mgh, and the given amount of energy (245J) expended to lift a 5kg mass, the mass was raised to a height of 4.9 meters.
Explanation:
To find the height to which a 5kg mass was raised using 245J of energy, we use the formula for gravitational potential energy (PE), which is PE = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (typically rounded to 10 m/s2 for simplicity), and h is the height in meters.
Using the given amount of energy and the mass, we can solve for h: 245 J = 5 kg × 10 m/s2 × h.
Dividing both sides by (5 kg × 10 m/s2), we find that h = 245 J / (5 kg × 10 m/s2) = 4.9 m.
Therefore, the mass was raised to a height of 4.9 meters.
