Physics Inclined Plane Problem

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Xvjvxevfc

Science

Description

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?

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Explanation & Answer

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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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