A 0.30 kg ladle sliding on a horizontal frictionless surface isattached to one end of a horizontal spring (k = 500 N/m) whoseother end is fixed. The l

aflacatn

aflacatn

Answered question

2021-02-23

A 0.30 kg ladle sliding on a horizontal frictionless surface isattached to one end of a horizontal spring (k = 500 N/m) whoseother end is fixed. The ladle has a kinetic energy of 10 J as itpasses through its equilibrium position (the point at which thespring force is zero).
(a) At what rate is the spring doing work on the ladle as the ladlepasses through its equilibrium position?
(b) At what rate is the spring doing work on the ladle when thespring is compressed 0.10 m and the ladle is moving away from theequilibrium position?

Answer & Explanation

crocolylec

crocolylec

Skilled2021-02-25Added 100 answers

(a) Since there is no force exerted by the spring on the mass of 0.30 kg while it moves through its equilibrium position, there is also no work being done by the spring at this time on the mass.
(b) Force (F) = k x  = 500 * 0.1 N  = 50.0 N 
Law of conservation of energy: 
10.0J=(12)mv2+(12)kx2 
v = 7.1 m/s 

rate is the spring doing work on the ladle when the springis compressed 0.10m 
P = - F . v = 50.0 * 7.1 W 
P=3.5102W

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