Part A Determine the acceleration of the crate as it slides down the plane. Expr

Question

Part A Determine the acceleration of the crate as it slides down the plane. Express your answer to two significant figures and include the appropriate unlit Constants The crate shown in (Figure 1) lies on a plane tilted at an angle = 28.5° to the horizontal, with -0.19. a= Submit Request Answer igure Part B If the crate starts from rest 8.80 m up along the plane from its base, what will be the crate speed when it reaches the bottom of the incline? Express your answer to two significant figures and include the appropriate units. z2 u= 1 Value Units Submit Request Answer

Explanation / Answer

a)

The net force acting on a crate is

F = mg*sin(theta) - umg*cos(theta) .........(1)

from Newton's second law

F = ma ...........(2)

from (1) and (2)

ma =  mg*sin(theta) - umg*cos(theta)

a =  g*sin(theta) - ug*cos(theta)

a = g(sin(theta) - u*cos(theta) )

a = 9.81(sin(28.5) - 0.19*cos(28.5))

a = 9.81(0.477 - 0.167)

a = 3.04 m/s^2

b)

displacement is given by

d = h/sin(theta)

d = 8.80 / sin(28.5)

d = 18.44 m

speed of crate is

v = sqrt(2ad)

v = sqrt(2 x 3.04 x 18.44)

v = 10.6 m/s

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