Answer :
Final answer:
The work done against gravity for a 50 kg student climbing 5 m up a rope is 2450 joules, calculated using the formula W = m imes g imes h, and the correct answer is d) 2450 J.
Explanation:
To calculate the work done against gravity when the student climbs up a rope, we can use the formula Work (W) = force (F) times distance (d). Here, the force applied is equivalent to the weight of the student, which is the product of the student's mass (m) and the acceleration due to gravity (g), typically 9.8 m/s2. The distance is the height (h) the student climbs. Therefore, the work done against gravity is W = m times g times h.
For a 50 kg student climbing 5 meters up:
- Mass (m) = 50 kg
- Acceleration due to gravity (g) = 9.8 m/s2
- Height (h) = 5 m
Plugging in the values, we get:
W = 50 kg times 9.8 m/s2 times 5 m = 2450 J
The work done against gravity is 2450 joules, so the correct answer is d) 2450 J.
