the total energy of a particle in SHM is 200J, the value of kinetic energy at an instant can be 220J. True or False? a) True b) False

A person exerts a 15N force on a cart attached to a spring and holds the cart steady. The cart is displacement 0.060m from its equilibrium position. When the person stops holding the cart, the system cart+spring undergoes simple harmonic motion.  (22)  a. Determine the spring constant of the spring b. Determine the energy of the system.  c. Write expressions x(t), v(t), and a(t) for the cart.

A 78.9-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.42 x 103 N/m. He accidentally slips and falls freely for 0.818 m before the rope runs out of slack. How much is the rope stretched when it breaks his fall and momentarily brings him to rest? Number T Units

Chapter 15, Problem 73 Z Your answer is partially correct. Try again. A vertical spring stretches 9.9 cm when a 2.4 kg block is hung from its end. (a) Calculate the spring constant. This block is then displaced an additional 4.3 cm downward and released from rest. Find the (b) period, (c) frequency (in Hz), (d) amplitude, and (e) maximum speed of the resulting SHM. (a) Numberx Units N/m (b) Numberx Units (c) Number Unit Hz (d) Numberx Units m (e) Numberx Units m/s

The springs of a pickup truck act like a single spring with a force constant of 1.9×105 N/m1.9×105 N/m. By how much will the truck be depressed by its maximum load of 550 kg?distance =  cm If the pickup truck has four identical springs, what is the force constant of each?k=k=  N/m

A block is in SHM on the end of a spring, with position given by x = xmcos(wt + p). If p=0.367 rad, then at t=0 what percentage of the total mechanical energy is potential energy? Number i Units

Problem 9: An ideal pendulum of length L=1.1 m supports a mass of m =0.5 kg. Initially the pendulum is lifted such that it makes an angle of 0 = 26 degrees with respect to the vertical. m 10

A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k.  b. Calculate the spring constant k, in Newtons per meter.  c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement.  d. Calculate the total mechanical energy E, in joules.

A block is in SHM on the end of a spring, with position given by x = XmCos(wt + p). If p = 0.320 rad, then at t=0 what percentage of the total mechanical energy is potential energy? Number i Units

A 2 kg mass attached to a horizontal ideal spring with spring constant k = 8 n2 N/m oscillates in SHM. a) Att = 0, the mass is at x = +0.5 m from its equilibrium position and has a velocity of- 3.0 m/s. Calculate K and U at t = 0 and then find E = K +U, the total mechanical energy of the system. b) From your answer in a), find A, the amplitude of the oscillations c) Find o, the angular frequency. d) Find o, the phase angle in radians from initial conditions by evaluating: x (t) = A cos (@t + 4) and v(t) if x(0) = + 0.5 m and v(0) = - 3 m/s. %3D %3D | %3D %3D