Amass-spring system has k = 56.8 n/m and m = 0.46 kg.

a) find the frequency of its simple harmonic motion. express your answer with the appropriate units.

b) find the angular frequency of its simple harmonic motion. express your answer with the appropriate units.

c) find the period of its simple harmonic motion. express your answer with the appropriate units.

An object with initial temperature 130 ∘ f is submerged in large tank of water whose temperature is 50 ∘ f . find a formula for f ( t ) , the temperature of the object after t minutes, if the cooling constant is k = − 0.2 . remember newton's law of cooling (the rate of change of temperature with respect to time is equal to k times the difference between the temperature of the object and the surrounding temperature) ! : )