QUICK calculation help - Why is my equation not giving right answer? Thanks

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SUMMARY

The discussion focuses on calculating the acceleration of a mass sliding down a ramp using Newton's Second Law. The equation presented is F = ma, where the user attempts to calculate the net force by using the formula (0.2)(9.8 m/s²)sin(40°) - (0.1)(1.5 N). The expected acceleration is 5.55 m/s², but the user incorrectly calculates it as 1.10986 m/s². The error arises from not properly applying the sine function and the correct values for force and mass.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Basic trigonometry, specifically the sine function
  • Knowledge of units of force (Newtons) and mass (kilograms)
  • Familiarity with calculating acceleration from net force
NEXT STEPS
  • Review the application of trigonometric functions in physics problems
  • Practice solving problems involving Newton's Second Law with varying angles
  • Learn about the effects of friction on acceleration calculations
  • Explore the concept of net force and how to calculate it in different scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for examples of common calculation errors in acceleration problems.

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Homework Statement



Ok, I am doing a problem where I am finding the acceleration of a mass sliding down a ramp.

I am now inputting the variables into Newtons 2nd law, and have the correct equation, but its not giving me the right answer. What am I doing wrong.

Here is the quation: finding acceleration.

(.2)(9.8ms^2)sin40 - (.1)(1.5N)


The answer is suppose to be 5.55 m/s^2

But I am getting 1.10986 ?



Homework Equations





The Attempt at a Solution

 
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divide by .2.
. Newtons second law states that f=ma. So ure equation is:(.2)(9.8ms^2)sin40 - (.1)(1.5N)=ma, so to find a, you have to divide by .2, which I assume is the mass.
 

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