# Geometry

A body of mass 15kg is placed on a smooth plane which is inclined at 60° to the horizontal. Find:
a)the acceleration of the body as it moves down the plane
b)the velocity that the body attains after 5s if:
(i)it starts from rest and;
(ii)it moves with an initial velocity of 4m/s^2?

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1. a) g * sin(60º)

b) (i) 5 s * g * sin(60º)

(ii) 4 m/s + [5 s * g * sin(60º)]

g is gravitational acceleration ... 9.8 m/s^2

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2. a. Mg = 15*9.8 = 147 N. = Wt. of mass.
Fp = 147*sin60 = 127 N. = Force parallel to incline.
Fp = M*a
127 = 15a
a = 8.5 m/s^2.

b. V = Vo + a*T = 0 + 8.5*5 = ___ m/s.

V = Vo + a*T = 4 + 8.5*5 =

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