Sir Jaykel Cuenca, a royal engineer of the Aiheistdräg Kingdom, was tasked to determine an efficient way to automatically bring their cargo up a 5.00 [m] high rough incline, with coefficient of kinetic friction 4. 0.4, without manual labor. Luckily, his futboler friends, Jeric and Joshua, came to help. They came up with a pulley system as shown below: M A. If the incline is oriented at an angle 0 = 15° from the horizontal, how much work is done on a cargo of mass M = 50.0 [kg] by a counteracting mass m = 100. [kg), when it reaches half the height of the incline, from the ground? B. Find the speed of the cargo when it reaches half the height of the incline.
Kinematics
A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine parts, those two parts experience a relative motion with each other. Studying such relative motions is termed kinematics.
Kinetic Energy and Work-Energy Theorem
In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the direction of displacement and perpendicular to the displacement which is called the normal force. Energy is the capacity of any object doing work. The SI unit of work is joule and energy is Joule. This principle follows the second law of Newton's law of motion where the net force causes the acceleration of an object. The force of gravity which is downward force and the normal force acting on an object which is perpendicular to the object are equal in magnitude but opposite to the direction, so while determining the net force, these two components cancel out. The net force is the horizontal component of the force and in our explanation, we consider everything as frictionless surface since friction should also be calculated while called the work-energy component of the object. The two most basics of energy classification are potential energy and kinetic energy. There are various kinds of kinetic energy like chemical, mechanical, thermal, nuclear, electrical, radiant energy, and so on. The work is done when there is a change in energy and it mainly depends on the application of force and movement of the object. Let us say how much work is needed to lift a 5kg ball 5m high. Work is mathematically represented as Force ×Displacement. So it will be 5kg times the gravitational constant on earth and the distance moved by the object. Wnet=Fnet times Displacement.
Hi! This was answered here before but it was wrong, I was told that I should set-up an equation for mass M and mass m and then combine them to get the velocity (so there must be a solution for letter B before I can solve letter A). Also, the velocity is between 9 to 9.5 m/s. The work referred to in letter A is the work done on mass M by tension. Help please, thank you!
![Sir Jaykel Cuenca, a royal engineer of the Aiheistdräg Kingdom, was tasked to determine an efficient way
to automatically bring their cargo up a 5.00 [m] high rough incline, with coefficient of kinetic friction Hg =
0.4, without manual labor. Luckily, his futboler friends, Jeric and Joshua, came to help. They came up with
a pulley system as shown below:
M
m
A. If the incline is oriented at an angle 0 = 15° from the horizontal, how much work is done on a cargo
of mass M = 50.0 [kg] by a counteracting mass m = 100. [kg], when it reaches half the height of the
incline, from the ground?
B. Find the speed of the cargo when it reaches half the height of the incline.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc7da731-c5ee-4869-a9ec-f7e19a95a852%2Fcbc1f16e-3264-4cb6-a711-e7a9d5137f65%2F1htldz0c_processed.jpeg&w=3840&q=75)
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