Answer:
Therefore, the potential energy of the 50-N box when it is raised 3 m is approximately 149.4 Joules.
Step-by-step explanation:
The potential energy of an object is given by the formula: potential energy = mass × gravitational acceleration × height. In this case, we have a box with a weight (force) of 50 N and it is raised to a height of 3 m. To calculate the potential energy, we need to know the mass of the box. Since weight is given by the formula weight = mass × gravitational acceleration, we can rearrange the formula to solve for mass: mass = weight ÷ gravitational acceleration. Using the given weight of 50 N and the standard gravitational acceleration of 9.8 m/s^2, we can find the mass of the box: mass = 50 N ÷ 9.8 m/s^2 = 5.1 kg (rounded to one decimal place). Now we can calculate the potential energy using the formula mentioned earlier: potential energy = mass × gravitational acceleration × height. Plugging in the values, we get: potential energy = 5.1 kg × 9.8 m/s^2 × 3 m = 149.4 J (rounded to one decimal place).