Physics Inclined Plane Problem

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10.0-kg box starts at rest and slides 3.5 m down a ramp inclined at an angle of 10 degrees with the horizontal. If there is no friction between the ramp surface and crate, what is the velocity of the crate at the bottom of the ramp?

Oct 15th, 2015

Thank you for the opportunity to help you with your question!

Vf^2 - Vi^2 = 2(gx)(dx) 
Vi = 0 (starts at rest) 
gx = component of g which acts along the surface of the ramp 
gx = 9.8 m/s^2(sin10 deg) = 1.70 m/s^2 

Vf = √[2(gx)(dx)] 
Vf = √[2(1.70)(3.5)] 
Vf = 3.4 m/s ANS 

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Oct 15th, 2015

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Oct 15th, 2015

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