Finding Change in Kinetic Energy

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SUMMARY

The discussion centers on calculating the change in kinetic energy for an 8.50 kg mass traveling at an initial speed of 7.50 m/s under the influence of a 340 N force over a 15.0 m displacement. The key equations involved are Ek = 1/2mv² for kinetic energy and W = Fd for work done. The solution requires determining the work done on the object and applying the work-energy theorem to find the change in kinetic energy, rather than relying solely on the initial speed.

PREREQUISITES
  • Understanding of kinetic energy calculations using Ek = 1/2mv²
  • Knowledge of work calculations using W = Fd
  • Familiarity with the work-energy theorem
  • Basic physics concepts related to force and motion
NEXT STEPS
  • Calculate work done using W = Fd for various forces and displacements
  • Explore the work-energy theorem in detail and its applications
  • Practice problems involving changes in kinetic energy with varying forces
  • Review the relationship between force, mass, and acceleration using F = ma
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy concepts, as well as educators looking for examples of kinetic energy calculations.

student54321
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Homework Statement


A mass of 8.50 kg is traveling 7.50 m/s
[up]. It is acted on by a force of 340 N [up]
over a displacement of 15.0 m [up].

What is the change in kinetic energy


Homework Equations


Ek = 1/2mvsquared. F = mv. w = fd


The Attempt at a Solution



I tried doing the equation Ek = 1/2mvsquared, and was off by 3000 or so.
 
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student54321 said:

Homework Statement


A mass of 8.50 kg is traveling 7.50 m/s
[up]. It is acted on by a force of 340 N [up]
over a displacement of 15.0 m [up].

What is the change in kinetic energy


Homework Equations


Ek = 1/2mvsquared. F = mv. w = fd


The Attempt at a Solution



I tried doing the equation Ek = 1/2mvsquared, and was off by 3000 or so.

That's because you probably used the INITIAL speed. The speed will change, because there is a force acting on the object.

1. Figure out the work done on the object (don't forget to consider all forces acting on it).

2. Use the work-energy theorem to figure out the object's change in kinetic energy given the work done in part 1.
 

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