Xayma
Lacking creativity
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Are you allowed to use energy formulas instead of motion formulas for physics as in more complex/long questions energy formulas can be quicker.
I know in the VCE a few years ago there was a question were using energy took 2 steps but using motion formulas uses 9 steps.
I know when you have to find time etc it can take longer but generally it doesnt.
For Example.
Find the maximum height a cannonball will reach when launched from a cannon at an angle of 60degrees to the horizontal with a speed of 100ms<sup>-1</sup> Using g as 10.
Using motion formulas you have to find values for time and round off or work with surds but using energy you get:
Let E<sub>g</sub> be energy on ground.
Let E<sub>f</sub> be energy at max height.
E<sub>g</sub>=E<sub>f</sub>
1/2mv<sub>g</sub><sup>2</sup>+mgh<sub>g</sub>=1/2mv<sub>f</sub><sup>2</sup>+mgh<sub>f</sub>
m(1/2v<sub>g</sub><sup>2</sup>+gh<sub>g</sub>)=m(1/2v<sub>f</sub><sup>2</sup>+gh<sub>f</sub>)
1/2x100<sup>2</sup>+10x0=1/2x50<sup>2</sup> (50 being 100cos 60) + 10xh<sub>f</sub>
3750/10=h<sub>f</sub>
h<sub>f</sub>=375m
I know in the VCE a few years ago there was a question were using energy took 2 steps but using motion formulas uses 9 steps.
I know when you have to find time etc it can take longer but generally it doesnt.
For Example.
Find the maximum height a cannonball will reach when launched from a cannon at an angle of 60degrees to the horizontal with a speed of 100ms<sup>-1</sup> Using g as 10.
Using motion formulas you have to find values for time and round off or work with surds but using energy you get:
Let E<sub>g</sub> be energy on ground.
Let E<sub>f</sub> be energy at max height.
E<sub>g</sub>=E<sub>f</sub>
1/2mv<sub>g</sub><sup>2</sup>+mgh<sub>g</sub>=1/2mv<sub>f</sub><sup>2</sup>+mgh<sub>f</sub>
m(1/2v<sub>g</sub><sup>2</sup>+gh<sub>g</sub>)=m(1/2v<sub>f</sub><sup>2</sup>+gh<sub>f</sub>)
1/2x100<sup>2</sup>+10x0=1/2x50<sup>2</sup> (50 being 100cos 60) + 10xh<sub>f</sub>
3750/10=h<sub>f</sub>
h<sub>f</sub>=375m