Homework Answers
this question can be solved by the apporach of hookes law and the concept of work done
so coming to the point work done in restoring the natural length of the spring will be given by
answer comes out to be 8cm
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The spring is compressed a distance of 16 cm from its natural length. Neglecting any drag...
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?
An ideal spring dangles from the ceiling at its relaxed length of 5 cm. A 3-kg...
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...
A- A spring, of mass 146 g, is extended a distance of 11.0 cm from its...
A- A spring, of mass 146 g, is extended a distance of 11.0 cm from its equilibrium position, pointed straight up in the air, and released so that it is launched straight upwards. If the spring has a spring constant k = 161 N/m, at what height above its initial position will the spring have an equal amount (magnitude) of kinetic and stored gravitational potential energy (relative to its initial height). After being launched, the spring is remains at its...
A spring with spring constant k is positioned vertically and then compressed from its equilibrium length...
A spring with spring constant k is positioned vertically and then compressed from its equilibrium length by a distance Delta y (Figure 1). A ball of mass m is placed on top of the spring, and is launched into the air when the spring is released (this setup is similar to the projectile launcher seen earlier in the semester). The ball travels to a maximum height h_max. Using the Work-Kinetic Energy theorem, determine h_max in terms of the given variables...
Question 2 A particle of mass m, is attached to a spring of natural length 2le...
Question 2 A particle of mass m, is attached to a spring of natural length 2le and stiffness 2k, and a second spring of stiffness k and natural length lo. It lies on a smooth horizontal table. and the two spring ends are a fixed distance 4lo apart, as shown in Figure Q2. The particle is released from rest at a distance 2lo from each end. Let x be the distance of the particle from A wwwwwwwwww Figure 02 (a)...
A vertically mounted spring (k = 900 N/m) is compressed by 20.0 cm relative to its...
A vertically mounted spring (k = 900 N/m) is compressed by 20.0 cm relative to its unstrained length. A mass (m = 0.30 kg) is placed at rest against the spring. When the spring is released, the mass is launched vertically in the air. What is the speed of the mass (m) when it passes by a point located 4.08 m above the release point?
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...
a. Work of 2 Joules is done in stretching a spring from its natural length to...
a. Work of 2 Joules is done in stretching a spring from its natural length to 15 cm beyond its natural length. What is the spring constant k > 0? Don't forget to enter the correct units b. If the spring is stretched to the same distance (15 cm), what is the restoring force that pulls the spring back toward its equilibrium position? Restoring force- Don't forget to enter the correct units.
A horizontal spring with spring constant 30 N/m is compressed by 5 cm by a 10...
A horizontal spring with spring constant 30 N/m is compressed by 5 cm by a 10 gram mass. After the mass is released, it accelerates due to the potential energy of the spring. Use conservation of energy to determine what speed the 10 gram mass reaches after being pushed by the spring Answer in units of m/s and round to 3 significant figures
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,...
A spring with spring constant k is positioned vertically and then compressed from its equilibrium length by a distance Delta y (Figure 1). A ball of mass m is placed on top of the spring, and is launched into the air when the spring is released (this setup is similar to the projectile launcher seen earlier in the semester). The ball travels to a maximum height h_max. Using the Work-Kinetic Energy theorem, determine h_max in terms of the given variables...
Question 2 A particle of mass m, is attached to a spring of natural length 2le and stiffness 2k, and a second spring of stiffness k and natural length lo. It lies on a smooth horizontal table. and the two spring ends are a fixed distance 4lo apart, as shown in Figure Q2. The particle is released from rest at a distance 2lo from each end. Let x be the distance of the particle from A wwwwwwwwww Figure 02 (a)...
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...
a. Work of 2 Joules is done in stretching a spring from its natural length to 15 cm beyond its natural length. What is the spring constant k > 0? Don't forget to enter the correct units b. If the spring is stretched to the same distance (15 cm), what is the restoring force that pulls the spring back toward its equilibrium position? Restoring force- Don't forget to enter the correct units.
A horizontal spring with spring constant 30 N/m is compressed by 5 cm by a 10 gram mass. After the mass is released, it accelerates due to the potential energy of the spring. Use conservation of energy to determine what speed the 10 gram mass reaches after being pushed by the spring Answer in units of m/s and round to 3 significant figures
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,...
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