Question

Sacks of potato’s are launched from a horizontal conveyor belt moving at a rate of 2 m/s into
bins for packaging. If the surface of the conveyor belt is 1.4 m off the ground, what is the
range of each flour sack?

0.53 m

Not enough information is given to find the range.

Undefined

1.06 m

Answer 1

The range of motion of each flour sack is 1.06 m.

The given parameters;

• initial horizontal velocity, u = 2 m/s
• height of the projection, h = 1.4 m

The time of motion of each flour sack is calculated as follows;

h = vt + ¹/₂gt²

where;

h is the vertical height of fall

v is the initial vertical velocity = 0

1.4 = 0 + (0.5 x 9.8)t²

1.4 = 4.9t²

$t^2 = \frac{1.4}{4.9} \\\\t^2 = 0.285\\\\t = \sqrt{0.285} \\\\t = 0.53 \ s$

The range of motion of each flour sack is the horizontal distance traveled and it is calculated as

X = ut

X = 2 x 0.53

X = 1.06 m

Thus, the range of motion of each flour sack is 1.06 m.

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