Jai-Anna, who has a mass of 45 kilograms, climbed 3 meters up a ladder to rescue her cat from a tree. How much work against gravity did she do?
To calculate the work against gravity, we can use the formula:
Work = force × distance × cos(angle)
In this case, the force is the weight of Jai-Anna, which can be calculated using the formula:
Force = mass × acceleration due to gravity
The acceleration due to gravity is approximately 9.8 meters per second squared.
So, the force exerted by Jai-Anna against gravity can be calculated as:
Force = 45 kg × 9.8 m/s^2
Now, let's calculate the work:
Work = force × distance × cos(angle)
Since the angle is not given, we can assume that Jai-Anna climbed straight up, which means the angle is 0 degrees.
Therefore, the cos(0) = 1.
Work = (45 kg × 9.8 m/s^2) × 3 meters × cos(0)
Work = 441 N × 3 meters × 1
Work = 1323 joules
Therefore, Jai-Anna did 1323 joules of work against gravity while climbing the ladder to rescue her cat from the tree.
To calculate the work done against gravity, we need to use the formula:
Work = force × distance
In this case, the force is the weight of Jai-Anna, which is given by the formula:
Weight = mass × acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2. Therefore, we can calculate the weight of Jai-Anna using the formula:
Weight = mass × 9.8
Weight = 45 kg × 9.8 = 441 N
Now that we have the weight of Jai-Anna, we can calculate the work done against gravity using the formula:
Work = force × distance
Work = 441 N × 3 m = 1323 J
Therefore, Jai-Anna did 1323 Joules of work against gravity while climbing 3 meters up the ladder to rescue her cat.