anonymous
  • anonymous
a block is shot up 32 degrees friction less incline with initial velocity of 3.5 m/s How far does it go
Physics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1447140129672:dw| Here is the situation we have. The first thing we should notice is that we can apply the conservation of energy. We initially have only kinetic and end up with some potential energy, thus\[\huge \frac{ 1 }{ 2 }mv^2 = mgh \implies \frac{ 1 }{ 2 }v^2=gh\] We see that the mass cancels out on both sides! Here comes the tricky part! In this equation, we have h, which is the HEIGHT at which it is vertically displaced. It doesn't give us the distance S (labeled in diagram) that it travels. Well this is a bummer! But no worries, we can use trig to re-express the height. As you can see, the height is the leg that is opposite of the 32deg angle! Therefore, we can say, using basic geometry principles, that the hypotenuse times the sin of the angle is equal to the height\[\huge h=S\sin(32^o)\] Substituting this into our equation, we can see that \[\huge \frac{ 1 }{ 2 }v^2=gS\sin(32^o)\] You know v, and you know g, now solve for S X)
anonymous
  • anonymous
@Michele_Laino I keep overthinking it... we can do this, yea?
Michele_Laino
  • Michele_Laino
correct! @CShrix

Looking for something else?

Not the answer you are looking for? Search for more explanations.