I am doing something wrong, can you help? **Work and Energy in Inclined Planes**A crate of mass \( m_1 = 12.4 \, \text{kg} \) is pulled by a massless rope up a \( 36.9^\circ \) ramp. The rope passes over an ideal pulley and is attached to a hanging crate with mass \( m_2 = 16.3 \, \text{kg} \). The crates move \( 1.40 \, \text{m} \), starting from rest. If the frictional force on the sliding crate has a magnitude of \( 19.6 \, \text{N} \) and the tension in the rope is \( 121.5 \, \text{N} \), find the total work done on the sliding crate.**Diagram Explanation:**- An inclined plane is shown with a crate \( m_1 \) positioned on it, pulled by a rope at an angle \( \theta = 36.9^\circ \).- The rope goes over an ideal pulley and is connected to a second, hanging crate \( m_2 \).**Solution:**The total work done on the sliding crate is \( 38.4 \, \text{J} \).This diagram and explanation demonstrate the application of physics principles such as force, tension, friction, and work in analyzing motion on an inclined plane with pulley systems.

Name: I am doing something wrong, can you help? **Work and Energy in Incline
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: I am doing something wrong, can you help? **Work and Energy in Inclined Planes**A crate of mass \( m_1 = 12.4 \, \text{kg} \) is pulled by a massless rope up a \( 36.9^\circ \) ramp. The rope passes over an ideal pulley and is attached to a hanging c

Given:- The crate of mass m1 = 12.4 kg is pulled a massless rope up angle θ= 36.9° The mass of the hanging crate m2 = 16.3 kg The tension in the rope T= 121.5 N The friction force Fr = 19.6 N creat move a distance d= 1.4 m Find:- The total work done on the sliding crate? Solution:- We know that the total work done is given as the addition of the work done by the tension, work done by the gravity, and the work done by the friction force Total work done = WT +Wgravity +Wfriction WTotal = T×d- m1gsinθ×d - fr×dWTotal =121.5 ×1.40 - 12.4×9.8sin36.9 ×1.40-19.6×1.40WTotal = 170.4-129.588WTotal =40.512 J The total work done on the sliding crate is 40.512 J