Why Is My Kinetic Energy Calculation Incorrect?

AI Thread Summary
The student calculates the kinetic energy of a 0.22 kg rock thrown horizontally at 20.0 m/s using the formula Ek = mv^2/2, arriving at an answer of 9.68 J. However, the expected answer is 44 J, leading to confusion about the calculation's accuracy. The issue likely stems from incorrect arithmetic or order of operations when inputting numbers into the calculator. It's emphasized that the calculation should be straightforward and may not even require a calculator. The discussion highlights the importance of careful calculation to avoid errors in physics problems.
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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