The length of nylon rope from which a mountain climber is suspended has a force constant of 1.55 x 10 N/m. (a) What is the frequency at which he bounces, given his mass plus equipment to be 80.0 kg? 2.21 ✓ Hz (b) How much would this rope stretch to break the climber's fall, if he free-falls 2.00 m before the rope runs out of slack? 7.1 X Can you determine the kinetic energy of the climber at the instant when the rope runs out of slack? As the rope stretches, what types of potential energy are important? m (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. bounce frequency Hz distance stretched m

A block of mass  m = 6.04 kg  is attached to a spring with spring constant  k = 1532 N/m  and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.145 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (a) What is the frequency of this oscillation? Hz(b) Where is the block located 3.24 s after it is released? (Give the displacement from the equilibrium. Include the sign of the value in your answer.) m(c) What is the velocity of the mass at that time? (Indicate the direction with the sign of your answer.) m/s

A 1.50-kg mass on a spring has displacement x as a function of time t given by x(t) = 0.0740 cos (4.16 t-2.42) meters. Find: (a) the time it takes for one complete vibration, (b) the force constant of the spring, (c) the maximum speed of the mass, rimum force exerted on the mass by the spring.

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.50 x 104 N/m. (a) What is the frequency at which he bounces, given his mass plus equipment to be 72.5 kg? 2.305 Hz (b) How much would this rope stretch to break the climber's fall, if he free falls 2.00 m before the rope runs out of slack? 0.55 Can you determine the kinetic energy of the climber at the instant when the rope runs out of slack? As the rope stretches, what types of potential energy are important? m (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. bounce frequency Hz distance stretched Em

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.14 x 104 N/m. (a) What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 97.0 kg? Hz (b) How much would this rope stretch (in cm) to break the climber's fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of energy. cm (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. frequency (in Hz) Hz stretch length (in cm) cm

One kind of cuckoo clock keeps time by using a mass bouncing on a spring, usually something cute like a cherub in a chair.  What is the spring constant, in newtons per meter, needed to produce a period of 0.325 s for a 0.011-kg mass on the spring?

3.13 The A string on a cello vibrates in its first normal mode with a frequency of 220 Hz. The vibrating segment is 69.0 cm long and has a mass of 1.30 g. (a) Find the tension in the string. N (b) Determine the frequency of vibration when the string vibrates in three segments. 660 ✓ Hz

A 150 g mass is undergoing simple harmonic motion along the x-axis on an ideal spring with k=100 N/m. At t=0, the mass is at x=-10 cm and is moving with velocity v=-15 m/s.  A) What is the total energy of the system? B) What is the position of the mass as a function fo time, x(t)? C) What is the acceleration of the mass at t=3.5 sec?   note: Please answer with most steps explained. Thank you!!! :)

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A 1.50-kg mass on a spring has displacement as a function of time given by the equation  x= (1.20 m) cos[(4.16 s-1) t] What is the time for one complete vibration? What is the force constant of the spring? What is the amplitude of the vibration? What is the displacement at time t=2.70 s?