College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Step 1: Determine the given data in the step :
VIEW Step 2: Determine the spring constant by applying Hooke's law in the step :
VIEW Step 3: Determine the potential energy stored in the spring in the step :
VIEW Step 4: Determine the distance to which the spring is stretched in the step :
VIEW Step 5: Determine the speed by applying the law of conservation of energy in the step :
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- A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other end is connected to a box. The box is pulled to the right, stretching the spring. Static friction exists between the box and the table, so when the spring is stretched only by a small amount and the box is released, the box does not move. The mass of the box is 0.75 kg, and the spring has a spring constant of 77 N/m. The coefficient of static friction between the box and the table on which it rests is us = 0.59. How far can the spring be stretched from its unstrained position without the box moving when it is released?arrow_forwardA mass of 0.75 kg is suspended from a spring. If 1.41 J of work is done against the spring as the mass is pulled 0.15 m away from its equilibrium position, what is the spring constant of the spring?arrow_forwardA marble with a mass of 0.085 kg compresses a spring 5.1 cm. If the spring has a constant k = 150 N/m, what will the velocity of the marble be when it's released?arrow_forward
- A spring is stretched 35.2 cm beyond its equilibrium length. How much energy has been transferred to the spring, if the spring constant is 32.6 N/cm? [Note the units!] E = _Jarrow_forwardAn archer pulls her bowstring back 0.370 m by exerting a force that increases uniformly from zero to 232 N. (a) What is the equivalent spring constant of the bow? N/m (b) How much work does the archer do in pulling the bow? Need Help? Read Itarrow_forwardanswer part barrow_forward
- A spring is stretched by 11.5cm. If the spring constant of the spring is 72.8N/m. How much elastic potential energy (in unit of joule) is stored in the spring?arrow_forwardHow far, in meters, would a spring, with a spring constant of 184.8 N/m, need to be stretched in order to have an elastic potential energy of 47.7 Joules?arrow_forwardA 5.75-kg mass stretches a vertical spring 0.5 m. If the spring is stretched an additional 1 m and released, how long does it take to reach the (new) equilibrium position again? (How do I find the amount of time?)arrow_forward
- A spring is connected on one end to a wall and the other is free to be compressed. The spring constant is 25 N/cm for the spring. A 2.0 kg mass is pressed against the spring and then released and the entire system is placed on horizontal frictionless surface. (a) How much is the spring compressed when 15.0 J of energy is stored in the spring? (10.9 cm) (b) What is the acceleration when the spring is at 1/2 the maximum compression distance? (68.5 m/s2) (c) What is the maximum speed of the mass?arrow_forward7. A 60 Kg woman is attached to a bungee cord with an unstretched length of 12m. She jumps off a tower; from a height of 70 m. When she finally stops, the cord has a stretched length of 37m. Assuming the spring constant of the bungee cord is 69.8 N/m, what is the total potential energy relative to the ground when the woman stops falling?arrow_forward3. When a 4.00-kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.50 cm. If the 4.00-kg object is removed, (a) how far will the spring stretch if a 1.50-kg block is hung on it? (b) How much work must an external agent do to stretch the same spring 4.00 cm from its upstretched position?arrow_forward
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