Final answer:
To find the work done when lifting a mass, multiply the object's weight by the height it's lifted to. For a 49.2 kg mass lifted 5.34 meters, the work done is approximately 2575.5 Joules.
Step-by-step explanation:
To calculate the work done when lifting an object, we use the formula Work = Force × Distance. Since the force needed to lift an object is equal to its weight (the mass times the acceleration due to gravity), we can find the force by multiplying the mass of the object (49.2 kg) by the standard acceleration due to gravity (9.8 m/s²). We then multiply this force by the distance the object is lifted (5.34 m) to find the work done.
Calculating this, we get Force = 49.2 kg × 9.8 m/s² = 482.16 N. Then, Work = 482.16 N × 5.34 m.
After performing the multiplication, we find that the work done is approximately 2575.5 Joules.