V R 5, L 1.2KG, HEIGHT 10M WORK INPUT 800J FIND THE USEFUL OUTPUT, EFFICIENCY, M A (TAKE G=10M/S )?
To find the useful output, efficiency, and mechanical advantage, we need to use the basic formulas related to work and energy.
1. Useful Output:
The useful output is the work done by the machine. It can be calculated using the formula:
Useful Output = Work Output = Force × Distance
Since the force is equal to the weight, which is given as L = 1.2 kg, and the distance is the height, which is given as H = 10 m, we can calculate the useful output as follows:
Useful Output = L × H = 1.2 kg × 10 m
2. Efficiency:
Efficiency is the ratio of useful output to the total input. It can be calculated using the formula:
Efficiency = (Useful Output / Total Input) × 100%
Since we already have the useful output, the total input is given as the Work Input = 800 J, we can calculate the efficiency as follows:
Efficiency = (Useful Output / Work Input) × 100% = (Useful Output / 800 J) × 100%
3. Mechanical Advantage:
Mechanical Advantage is the ratio of the output force to the input force. It can be calculated using the formula:
Mechanical Advantage = Output Force / Input Force
Since the output force is equal to the weight (L = 1.2 kg) times the acceleration due to gravity (g = 10 m/s^2), and the input force is the weight, we can calculate the mechanical advantage as follows:
Mechanical Advantage = (L × g) / L = g = 10 m/s^2
Now, we have all the information needed to calculate the useful output, efficiency, and mechanical advantage.