problem: a 500 n load is pushed up an incline with a length of 10 m and a height of 4 m. if the actual…

problem: a 500 n load is pushed up an incline with a length of 10 m and a height of 4 m. if the actual effort applied is 250 n, determine the efficiency of the inclined plane. you must show your work to receive full credit. type response here g: u: e: s: s:

problem: a 500 n load is pushed up an incline with a length of 10 m and a height of 4 m. if the actual effort applied is 250 n, determine the efficiency of the inclined plane. you must show your work to receive full credit. type response here g: u: e: s: s:

Answer

Explanation:

Step1: Calculate the useful work

Useful work (W_{u}) is the work done in lifting the load vertically. The formula for work is (W = F\times d), where (F) is the force and (d) is the distance. Here, the force is the weight of the load (F = 500\ N) and the vertical distance (d=4\ m). So (W_{u}=500\times4 = 2000\ J).

Step2: Calculate the actual work input

The actual work input (W_{i}) is the work done by the applied force. The applied force (F_{a}=250\ N) and the distance along the incline (d_{a}=10\ m). So (W_{i}=250\times 10=2500\ J).

Step3: Calculate the efficiency

The efficiency (\eta) of a machine is given by the formula (\eta=\frac{W_{u}}{W_{i}}\times 100%). Substituting the values of (W_{u}) and (W_{i}), we get (\eta=\frac{2000}{2500}\times 100% = 80%).

Answer:

80%