Two football players are in a competition to see who can pull a 150.0 kg container over the entire football field (100 yards) faster. One player pulls on a rope attached to the container at a 25o angle with a force of 125 N. The other player pulls on a rope directly aligned with the plane of the field (positive x-direction) with a force of 111 N. Which player will exert more work? Which player wins the race? Assume the football field is frictionless (thank goodness it actually isn’t). Hint: First, label all your forces and separate them all into x- and y-components.
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.
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Two football players are in a competition to see who can pull a 150.0 kg container over the entire football field (100 yards) faster. One player pulls on a rope attached to the container at a 25o angle with a force of 125 N. The other player pulls on a rope directly aligned with the plane of the field (positive x-direction) with a force of 111 N. Which player will exert more work? Which player wins the race? Assume the football field is frictionless (thank goodness it actually isn’t). Hint: First, label all your forces and separate them all into x- and y-components.
Introduction:
According to Newton's 1st law of motion, at equilibrium, total force acting on the body is zero. Identification of different forces acting on the body can be given by free body diagram. With the help of free body diagram direction of different forces can be identified.
Work done is the scalar quantity. It is the dot product of force and displacement. Work one by the body is depends on the orientation of the applied force.
Given data:
Mass of the container is,
m= 150 kg
Distance of football field is,
d= 100 yard= 91.44 m
One player pulls the container with angle made with horizontal.
F1= 125 N
Another player pulls the container with angle made with horizontal is,
F2= 111 N
Formula used:
Work done by the body is,
Where,
F- Applied force
d- Displacement of the object
- Angle between F and d
According to work- energy theorem,
Work done= Change in kinetic energy
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