Recent content by Foopyblue

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    Double Angle Trig: Solving Sin2x-cosx=1 for x in [0,2pi)

    The problem is indeed sin(2x). It's really giving me a headache.
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    Double Angle Trig: Solving Sin2x-cosx=1 for x in [0,2pi)

    Homework Statement Sin2x-cosx=1 Solve for all x values between [0,2pi) Homework Equations Sin2x=2sinxcosx The Attempt at a Solution [/B] 2sinxcosx-cosx=1 cosx(2sinx-1)=1 I don't know what to do after this. It doesn't equal 0 so I can't set each factor equal to 0
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    Conservation of Mechanical Energy on a Roller Coaster

    The textbook and I both agree that there was a change in height of 10 m, but where we differ is that they are calculating the potential energy from the height above the ground(30m) while I am calculating the potential energy from the height above point C(10m). That's why their ratio is different...
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    Conservation of Mechanical Energy on a Roller Coaster

    I hate to bother you Arjun but I'm having trouble reading it because of the quality, do you have another picture you could upload?
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    Conservation of Mechanical Energy on a Roller Coaster

    If I set my reference height of C as ground level, is that not the total energy of the system? It has no Kinetic at point A, all Potential, right?
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    Conservation of Mechanical Energy on a Roller Coaster

    Homework Statement A roller coaster at an amusement park is at rest on top of a 30 m hill (point A). The car starts to roll down the hill and reaches point B which is 10 m above the ground, and then rolls up the track to point C, which is 20 m above the ground. (A) A student assumes no energy...
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    Using Energy Equations to find Final Velocity

    I tried thinking about this more deeply. The Law of Conservation of energy states that the total energy of an isolated system is conserved so that its change is zero. If I choose my system to be the Earth, the inclined plane, and the block, then for this problem, it is indeed isolated. This...
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    Using Energy Equations to find Final Velocity

    So if I chose my system to be just the block, I would only have to worry about Kinetic Energy and this is why Work=ΔK works?
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    Using Energy Equations to find Final Velocity

    This is what my textbook says for each equation. Work=ΔE The total energy of a system changes by the amount of work done on it. Another way to right the equation above is by listing the specific types of energies found in the system. The only energies I found in this system were Kinetic...
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    Using Energy Equations to find Final Velocity

    Homework Statement A box slides down an inclined plane (angle = 37*). The mass of the block is 35 kg, the coefficient of kinetic friction between the box and the ramp is 0.3, and the length of the ramp is 8 m. If it starts from rest at the top of the ramp, with what speed does it reach the...
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    Understanding the Effective Spring Constant

    Wow. It finally makes sense. Thank you so much!
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    Understanding the Effective Spring Constant

    So basically does that mean that where ever you are in the system, the force is going to be constant? Is this why they can refer to the force without any subscript, because they don't have to specify since it's the same everywhere?
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    Understanding the Effective Spring Constant

    It would be just k2x2. The applied force does not exert a force on the first spring. Only the 2nd spring exerts a force on the 1st spring which is equal to the applied force.
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    Understanding the Effective Spring Constant

    The amount my hand moves is equal to the x in F=kx.
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