Did you know?
Did you know that work and power play a vital role in even the simplest daily activities?
In a scenario where Ursula is carrying her 2-year-old daughter, Unice, down a flight of stairs that are 10 meters high, the combined mass of Ursula and Unice is 75 kg, and they reach the ground in 8 seconds. Let's explore the calculations for work and power.
a.) Work Done in Going Down:
To determine the work done, we use the formula: Work = Force x Distance. In this case, the force is equivalent to the weight, which can be calculated using the formula: Weight = Mass x Gravity. By substituting the given values (mass = 75 kg, gravity = 9.8 m/s²), we can calculate the weight. Multiplying the weight by the distance, which is 10 meters, we get the work done in going down the stairs.
b.) Power Developed by Ursula in Going Down:
Power is the rate at which work is done, and it can be calculated using the formula: Power = Work/Time. By substituting the value of work (calculated in part a) and the given time of 8 seconds, we can compute the power developed by Ursula while going down the stairs.
Understanding the concepts of work and power allows us to appreciate the physics behind everyday actions and the calculations involved in measuring them.
