One man takes 1 minute to raise a box to a height of 1 metre and another man takes 1/2 minute to do so. The energy of the two is

Options

A. different
B. same
C. energy of the first is more
D. energy of the second is more

Explanation

To solve the problem, we need to analyze the situation step by step.

### Step 1: Understand the concept of potential energy
The potential energy (PE) gained by an object when it is raised to a height \( h \) is given by the formula:
\[ PE = mgh \]
where:
- \( m \) = mass of the object (in this case, the box),
- \( g \) = acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)),
- \( h \) = height to which the object is raised.

### Step 2: Identify the height and gravitational acceleration
In this problem, both men are raising the box to the same height of \( 1 \, \text{m} \). The gravitational acceleration \( g \) is constant and does not change.

### Step 3: Calculate the potential energy for both men
Since the height \( h \) is the same for both men, the potential energy gained by the box is the same for both cases, regardless of the time taken to lift it. Therefore, we can express the potential energy as:
\[ PE = mg \cdot 1 \, \text{m} = mg \]

### Step 4: Conclusion about the energy of the two men
Since both men are raising the box to the same height \( h \) and the mass \( m \) of the box is the same, the potential energy gained by the box is the same for both men. Thus, the energy of the two is equal.

### Final Answer
The energy of the two men is the same.

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