The position of a 0.5 kg object that is oscillating on an ideal spring is given by the equation x = (10cm)cos(10 t), where t is in seconds. At what position x is the kinetic energy one third of the potential energy at that position?
The position of a 0.5 kg object that is oscillating on an ideal spring is given...
The position of a mass (350 g) attached to an oscillating spring is given by: x = 22.5 cm cos((7.84 rad/s) t) Find total energy of the mass. Determine the potential energy when the mass is located 5.3 cm from equilibrium. What is the velocity of the mass at the location in part B? Find the location of the mass when the velocity is one-third of its maximum value.
The position of a 0.5 ?? block oscillating back and forth due to a spring is given by the equation ? = (5??) cos(?/4?). What is the stiffness of the spring?
The figure shows the position-time graph of an object of mass m oscillating on the end of a massless ideal spring of spring constant k. Answer the following questions.1. Which of the following graphs is the correct velocity-time graph of the oscillation?2. Which of the following graphs is the correct acceleration-time graph of the oscillation?3. If the mass of the object is m = 0.500 kg, what is the spring constant k of the ideal spring?Hint: read o the period of...
the position of a mass that is oscillating on a spring is given by x = (0.20m) cos [(5.00s^-1)t]. what is the period of the motion? what is the amplitude of the motion? what is the spring constant? what is the total mechanical energy of the system?
A. The position of a 45 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. Determine the velocity at t=0.40s. B. Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? C. What is the total energy E of the mass described in the previous parts?
The distance or displacement y of a weight attached to an oscillating spring from its natural position is modeled by y = 4 cos 2Pit, where t is time in seconds. Potential energy is the energy of position and is given by P = ky^2, where k is a constant. The weight has the greatest potential energy when the spring is strenched the most.
The position of an air-track cart that is oscillating on a spring is given by the equation x = (12.4 cm) cos[(6.35 s-1)t]. At what value of t after t = 0.00 s is the cart first located at x = 8.47 cm?
A 2.5-kg object attached to an ideal spring with a force constant (spring constant) of 15 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the cart is released from rest at position x = 8 cm from the equilibrium position. (a) What is the frequency of the oscillations of the object? (b) Determine the maximum speed of the cart. (c) Find the maximum acceleration of the mass (d) How much total energy does this oscillating...
The position of a mass oscillating on a spring is given by the equation x(t) = A * sin(f t) , where A and fare constants. What are the dimensions of fif the argument of the sinc function is in degrees?
13.6 The equation for the position as a function of time for an oscillating spring is given by x 15 cm cos 47at a) What is the frequency? b) If the mass on the spring is 400 g, what is the spring constant of the spring? c) What is the position at t-0.023 82 d) What is the position at rad 1 0.08 s