A spring is compressed 15 cm from its natural length. If it requires 100 N of...
A spring is compressed 15 cm from its natural length. If it requires 100 N of force to compress the spring this distance, what is the spring constant of the spring? how much energy is stored in the spring? what will the angular frequency of the spring be if it is attached to a 100 g mass and released to oscillate?
Homework Answers
Here we apply hook's law and formula for spring potential energy and angular frequency for mass spring oscillator.
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A spring is compressed 15 cm from its natural length. If it
requires 100 N of...
Please show all work 1. A 30 cm spring is compressed to 2 cm. a force...
Please show all work 1. A 30 cm spring is compressed to 2 cm. a force of 200 N was used to do this. How much potential energy is stored in the spring? 2. A 5 kg mass is suspended from a spring. The spring develops 100 J of potential energy. What is the spring constant of the spring? 3. A ball is at rest on top of a 15 meter high hill. It rolls down the hill and is...
The spring is compressed a distance of 16 cm from its natural length. Neglecting any drag...
The spring is compressed a distance of 16 cm from its natural length. Neglecting any drag force exerted by the air, determine the height h the particle reaches after it is released (relative to the end of the spring): {Neglect the mass of the spring}
If a spring, with a spring constant of 7.4 N/cm, is compressed from an equilibrium length...
If a spring, with a spring constant of 7.4 N/cm, is compressed from an equilibrium length of 28.2 cm to a new length of 24.9 cm, how much potential energy is stored in it?
A spring with a spring constant of 340 N/m is stretched 15 cm from its equilibrium...
A spring with a spring constant of 340 N/m is stretched 15 cm from its equilibrium position and released. a) If the mass attached to the spring is 2.7 kg, what is the frequency of the oscillation? b) What is the maximum kinetic energy of the mass? c) What is the maximum speed?
It takes 6.5 J of work to stretch a spring 4.1 cm from its unstressed (relaxed)...
It takes 6.5 J of work to stretch a spring 4.1 cm from its unstressed (relaxed) length. a) How much (in J) spring potential energy is then stored by the spring? b) What is the spring constant k in N/m? c) What if the spring is compressed instead by 4.1 cm from its unstressed length, how much (in J) spring potential energy is then stored by the spring? d) How much work (in J) is needed to compress the spring...
3. A spring stretches 3.0 cm from its relaxed length when a force of 7.5 N...
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,...
1. A 30 cm spring with constant 70 N/m is compressed to 10 cm and placed...
1. A 30 cm spring with constant 70 N/m is compressed to 10 cm and placed between two carts. Cart A has mass m Skg and mg is unknown. Initially the system is at rest. After it is released it is observed that cart A has three times the velocity of cart B. a) What force must be exerted initially to keep the spring compressed? b) What is the work done to compress the spring? c) By considering conservation of...
The force constant of a spring is 550 N/m. How much elastic potential energy is stored...
The force constant of a spring is 550 N/m. How much elastic potential energy is stored in the spring if the spring is compressed a distance of 1.2 cm? What is the force being used to compress the spring?
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of...
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.80 N is applied. A 0.510-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a)...
A spring with a spring constant of 780 N/m is stretched 8 cm from its equilibrium...
A spring with a spring constant of 780 N/m is stretched 8 cm from its equilibrium position and released. a) If the mass attached to the spring is 4 kg, what is the frequency of the oscillation? b) What is the maximum kinetic energy of the mass? c) What is the maximum speed?
The spring is compressed a distance of 16 cm from its natural length. Neglecting any drag force exerted by the air, determine the height h the particle reaches after it is released (relative to the end of the spring): {Neglect the mass of the spring}
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,...
1. A 30 cm spring with constant 70 N/m is compressed to 10 cm and placed between two carts. Cart A has mass m Skg and mg is unknown. Initially the system is at rest. After it is released it is observed that cart A has three times the velocity of cart B. a) What force must be exerted initially to keep the spring compressed? b) What is the work done to compress the spring? c) By considering conservation of...
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