An ideal spring dangles from the ceiling at its relaxed length of 5 cm. A 3-kg mass is carefully hung from the end of the spring while the spring is relaxed, and then the mass is released from rest at time t = 0, which begins to stretch the spring. The spring stretches to its maximum length at time t = 130 ms when the mass reaches its lowest point. Then the mass returns upward, shortening the spring. The oscillation diminishes due to linear drag so that the spring quickly settles to a length of 6.5 cm, holding the mass at a constant height.
Calculate the maximum length that the spring reaches during this motion. Calculate to within 10 ppm, and express your answer in centimeters.
An ideal spring dangles from the ceiling at its relaxed length of 5 cm. A 3-kg...
Problem 6. A mass of 1.00 kg is hung from the ceiling by an ideal spring. When a mass of 0.500 kg is added to the original mass, the spring stretches by an additional 0.933 cm. (a) What is the force constant of the spring? (b) By how much did the spring stretch when only the 1.00kg mass was hung from it? The system (with the 1.50kg mass) is now set in oscillation with an amplitude of 2.20cm. (c) What...
A.) A spring scale hung from the ceiling stretches by 5.3 cm when a 1.4 kg mass is hung from it. The 1.4 kg mass is removed and replaced with a 1.8 kg mass a.)What is the stretch of the spring? B. The mass in a pendulum clock completes one complete swing in 1.20 s . a.)What is the length of the rod?
A spring scale hung from the ceiling stretches by 5.5 cm when a 1.3 kg mass is hung from it. The 1.3 kg mass is removed and replaced with a 1.7 kg mass. What is the stretch of the spring?
A spring hanging from a hook has a relaxed length of 8.1 cm with no mass attached to it. When a 0.41 kg mass is hung from the spring the spring stretches to a new equilibrium length of 12 cm. The mass is then pulled downward an additional 5.8 cm from the equilibrium position and released from rest. How fast (in m/s) is the mass moving when it first passes through the original equilibrium position of the spring (the relaxed...
3. A spring stretches 3.0 cm from its relaxed length when a force of 7.5 N is applied. A particle with a mass of 0.5 kg rests on a frictionless horizontal surface and is attached to the free end of the spring: The particle is pulled horizontally so that it stretches the spring 5.0 cm and is then released from rest at t 0. (a) What is the force constant of the spring? (b) What are the period, frequency, f,...
A 4.0-kg red book is suspended from a spring attached to the ceiling of an elevator that is accelerating downward. Attaching the book causes the spring to stretch 71 mm beyond its relaxed length. You also have a yellow book of unknown inertia. When you attach the yellow book and the red one to the spring at the same time, the spring stretches 110 mm beyond its relaxed length. When the elevator is at rest, the combination of the two...
A 12 cm long spring is attached to the ceiling. When a 2.6 kg mass is hung from it, the spring stretches to a length of 17 cm.(a) What is the spring constant k?
A spring is hung from the ceiling. When a block is attached to its end, it stretches 2.0 cm before reaching its new equilibrium length. The block is then pulled down slightly and released. What is the frequency of oscillation?
A spring is hanging from the ceiling. When a 2 kg mass is hung from the spring, the spring has a total length of 50 cm. When a 5 kg mass is hung from the spring, the spring has a total length of 70 cm. Determine the spring's relaxed length and its spring's spring constant. (You should keep 4 decimals in your values to avoid rounding errors.)
A spring scale hung from the ceiling stretches by 5.6 cm c m when a 1.5 kg k g mass is hung from it. The 1.5 kg k g mass is removed and replaced with a 2.0 kg k g mass. What is the stretch of the spring?