Why Is My Kinetic Energy Calculation Incorrect?

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SUMMARY

The discussion centers on the calculation of kinetic energy for a rock thrown horizontally. The student calculated the kinetic energy using the formula Ek = mv²/2, substituting the mass (0.22 kg) and velocity (20.0 m/s), resulting in an incorrect value of 9.68 J. The correct kinetic energy, as stated in the discussion, is 44 J, indicating a significant error in the arithmetic or order of operations during the calculation process.

PREREQUISITES
  • Understanding of kinetic energy formula (Ek = mv²/2)
  • Basic arithmetic skills, including order of operations
  • Knowledge of mass and velocity units (kg and m/s)
  • Familiarity with the concept of horizontal motion in physics
NEXT STEPS
  • Review the principles of kinetic energy calculations in physics
  • Practice problems involving the kinetic energy formula with varying mass and velocity
  • Learn about common mistakes in arithmetic calculations and how to avoid them
  • Explore the effects of air resistance on kinetic energy in real-world scenarios
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding kinetic energy calculations and common pitfalls in arithmetic operations.

DPXJube
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Homework Statement


A student throws 0.22kg rock horizontally at 20.0m/s from 10.0m above the ground. Ignore air resistance.

Find the initial kinetic energy of the rock


Homework Equations


Ek = mv^2/2


The Attempt at a Solution


This sounds INCREDIBLY easy and every shape or form
Simplying plugging in what I know

Ek =(0.22)(20.0)^2/2

Get's me the answer of 9.68
However APPARENTLY that's the wrong answer
The answer that I'm given is 44J
How is this possible? I must have gone completely off track somewhere.
 
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Check your arithmetic. Pay careful attention to the order of operations.
 
DPXJube said:

Homework Statement


A student throws 0.22kg rock horizontally at 20.0m/s from 10.0m above the ground. Ignore air resistance.

Find the initial kinetic energy of the rock

Homework Equations


Ek = mv^2/2

The Attempt at a Solution


This sounds INCREDIBLY easy and every shape or form
Simplying plugging in what I know

Ek =(0.22)(20.0)^2/2

Get's me the answer of 9.68
However APPARENTLY that's the wrong answer
The answer that I'm given is 44J
How is this possible? I must have gone completely off track somewhere.

Your (red) statement is correct - if clumsily written - it would appear the only problem is when you start entering the numbers into your calculator - not that you should need one for that calculation.
 

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