A mass of 0.4 kg,hanging from a spring with a spring constant of 87 N/m,is set into an up-and-down simple harmonic motion.What is the speed of the mass when moving through a point at 0.05 m displacement? The starting displacement of the mass is 0.1 m from its equilibrium position.
A) zero
B) 0.6 m/s
C) 0.7 m/s
D) 1.3 m/s
E) 1.8 m/s

Question

A mass of 0.4 kg,hanging from a spring with a spring constant of 87 N/m,is set into an up-and-down simple harmonic motion.What is the speed of the mass when moving through a point at 0.05 m displacement? The starting displacement of the mass is 0.1 m from its equilibrium position.
A) zero
B) 0.6 m/s
C) 0.7 m/s
D) 1.3 m/s
E) ​1.8 m/s

Quizplus · Accepted Answer

The speed of the mass when moving through a point at 0.05 m displacement can be found using the equation:v = sqrt(k/m) * sqrt(A^2 - x^2)where:k is the spring constant (87 N/m)m is the mass (0.4 kg)A is the starting displacement (0.1 m)x is the displacement at which the speed is being calculated (0.05 m)Plugging in the values, we get:v = sqrt(87 N/m / 0.4 kg) * sqrt(0.1^2 m^2 - 0.05^2 m^2)v = 0.7 m/s

A Mass of 0