What Is the Box's Speed at t = 0.6?

AI Thread Summary
The discussion focuses on calculating the speed of a 6 kg box sliding down a frictionless incline at an angle of 34 degrees after 0.6 seconds. The initial approach using conservation of mechanical energy was deemed incorrect because the box had not reached the bottom of the incline. Instead, it is suggested to resolve the gravitational force into components to find the acceleration parallel to the incline. The correct formula to use is vparallel(t) = v0 + aparallel*t, with v0 set to zero. This method will yield the accurate speed of the box at the specified time.
the_d
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A 6 kg box slides down a long, frictionless
incline of angle 34 degrees. It starts from rest at time
t = 0 at the top of the incline at a height 17 m
above the ground. The acceleration of gravity is 9.81 m/s^2 :Find the box's speed at t = 0.6.

to do this problem i used the conservation of mechanical energy formula and just solved for v #2 squared but apparently that wasnt right
 
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the_d said:
A 6 kg box slides down a long, frictionless
incline of angle 34 degrees. It starts from rest at time
t = 0 at the top of the incline at a height 17 m
above the ground. The acceleration of gravity is 9.81 m/s^2 :Find the box's speed at t = 0.6.

to do this problem i used the conservation of mechanical energy formula and just solved for v #2 squared but apparently that wasnt right
You can't directly use Conservation of Energy with the (17 meter) incline height because the box has NOT slid down to the bottom in (t = 0.6 sec). Instead, try resolving the force of gravity into components parallel and perpendicular to the slide, determine the box's acceleration "aparallel" parallel to the incline, and then use the formula below at (t = 0.6 sec) with (v0 = 0):
vparallel(t) = v0 + aparallel*t


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thanx xanthym
 
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