1. A 50 g ice cube can slide without friction up and down a 30 degree...

1. A 50 g ice cube can slide without friction up and down a 30 degree slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10 cm. The spring constant is 25 N/m.

a) When the ice cube is released, what total distance will it travel up the slope before reversing direction?

b) The ice cube is replaced by a 50 g plastic cube whose coefficient of kinetic friction is 0.20. How far will the plastic cube travel up the slope? Use work and energy.

Expert Solution

masrnos 50X10 1) mass of ice, m= 50g - 50x10 kg . spring exert a force on ice cube, F = K2 or, F= 25X0.1 = 9.5 N natin E so, upward acceleration, au=/m au = 2:5_, = 50 m/s2 esery to Downward acceleration due to its me tha bracoio ang wught, an= g sino = 9.8 sin 30' =49 ms2 So, net upward acceleration, a= aurad = 4511 m/s² Now, initial velocity il velocity at contact point of spring is u, then, I mu² % x 2² i ore, u=vm X = 25.62*0.1 = 2.24 If d be the distance travel, then, v² u ² zad o r, 1dc na = (2.20)2 = 0.056 m = 5.6 cm 7-as) L 2x4501 1 by when ice is replaced by plastic of Xame mass. only friction includes on resultant upward force or acceleration . friction acts opposite to its motim. a friction force, f

genius_generous answered 2 years ago

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