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Question 1 (Oscillatory Motion) 1.1. A 2.00 kg mass vibrates according to the equation \( x(t)=(0.650 \mathrm{~m}) \cos (8.40 t) \) where \( x \) is in meters and \( t \) is in seconds. Determine 1.1.1. the spring constant \( k \), \[ \omega=8,40 \quad A=0,650 \] 1.1.2 determine the potential \( (U) \), kinetic \( (K E) \) and mechanical \( \left(E_{t o t}\right) \) energies of the system at \( \mathrm{t}=0.50 \mathrm{~s} \). 1.2. The maximum speed of the mass attached to to a spring is \( v_{\max }=0.371 \mathrm{~m} / \mathrm{s} \), while the maximum acceleration is \( a_{\max }=1.05 \mathrm{~m} / \mathrm{s}^{2} \). What is the maximum displacement of the mass? (5) 1.3. What is the period of a simple pendulum on Mars where the acceleration due to gravity is about 0.37 that on Earth, if the pendulum has a period of 0.80 s on Earth? (5)

          Question 1
(Oscillatory Motion)
1.1. A 2.00 kg mass vibrates according to the equation \( x(t)=(0.650 \mathrm{~m}) \cos (8.40 t) \) where \( x \) is in meters and \( t \) is in seconds. Determine
1.1.1. the spring constant \( k \),
\[
\omega=8,40 \quad A=0,650
\]
1.1.2 determine the potential \( (U) \), kinetic \( (K E) \) and mechanical \( \left(E_{t o t}\right) \) energies of the system at \( \mathrm{t}=0.50 \mathrm{~s} \).
1.2. The maximum speed of the mass attached to to a spring is \( v_{\max }=0.371 \mathrm{~m} / \mathrm{s} \), while the maximum acceleration is \( a_{\max }=1.05 \mathrm{~m} / \mathrm{s}^{2} \). What is the maximum displacement of the mass? (5)
1.3. What is the period of a simple pendulum on Mars where the acceleration due to gravity is about 0.37 that on Earth, if the pendulum has a period of 0.80 s on Earth? (5)

Question 1
(Oscillatory Motion)
1.1. A 2.00 kg mass vibrates according to the equation x(t)=(0.650 m) cos (8.40 t) where x is in meters and t is in seconds. Determine
1.1.1. the spring constant k,

ω=8,40 A=0,650

1.1.2 determine the potential (U), kinetic (K E) and mechanical (Et o t) energies of the system at t=0.50 s.
1.2. The maximum speed of the mass attached to to a spring is vmax=0.371 m / s, while the maximum acceleration is amax=1.05 m / s^2. What is the maximum displacement of the mass? (5)
1.3. What is the period of a simple pendulum on Mars where the acceleration due to gravity is about 0.37 that on Earth, if the pendulum has a period of 0.80 s on Earth? (5)

Added by Gregg M.

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