A sand mover at a quarry lifts 2.00E3 kg of sand per minute averticle distance of 12.0 m . The sand is initially at rest and isdischarged at the top o

opatovaL

opatovaL

Answered question

2021-02-04

A sand mover at a quarry lifts 2.00E3 kg of sand per minute averticle distance of 12.0 m . The sand is initially at rest and isdischarged at the top of the sand mover with a speed of 5.00 m/sinto a loading chute. What is the minimum power that must besupplied to this machine ( which aaumes no nonconservativeforces)?

Answer & Explanation

Roosevelt Houghton

Roosevelt Houghton

Skilled2021-02-05Added 106 answers

Each minute (= 60 sec), the machine performs work "W" given by:
W=m×g×h+(12)×m×v2

=m×{g×h+(12)×v2}

=(2.00E3kg)×{(9.8ms2)×(12.0m)+(12)×(5.00ms)2}=2.602e+5

Joules
Since this work is performed every 60 sec, power requirementis:
{Power}=W60=4337W

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