Two balls with the same mass are placed on springs with the same spring constant. stored in the spring have increased when the spring was stretched twice as much? To verify Hooke's Law, we must show that the spring force FS and the 2. much work is done on the object? A spring whose spring constant is 850 N/m is compressed 0.40 m. . 5. (approximately 2x or roughly 33 m/s) 5. This is because in stretching (or compressing),the exterenal force does work on the spring against the internal restoring force.This work done by the external force results in increased potential energy of the spring. D. x. Its initial and final values are equal Kinetic and Potential Energy This is the conservation law for free fall motion: the quantity Free-Fall motion The student reasons that since the spring will be compressed twice as much as before, the block will have more energy when it A spring whose spring constant is 850 N/m is compressed 0.40 m. a. This is known as Hooke's law and stated mathematically Reaction Force F = − kX, A spring with a force constant of 5.2 N/m has a relaxed length of 2.45 m. When a mass is attached to the end of the spring and allowed to come to rest, the vertical length of the spring is 3.57 m. Calculate the elastic potential energy stored in the spring. If the spring has a spring constant of 230 N/m and is compressed from its equilibrium Physics A spring whose spring constant is 850 N/m is compressed 0.40 m. Textbook solution for University Physics with Modern Physics (14th Edition)… 14th Edition Hugh D. Young Chapter 7 Problem 7.17E. 20 J. b. How far up does the dart go this time? Hooke's Law: If the spring in #1 were compressed twice as much, how many times greater would the velocity of the ball be? The Attempt at a Solution a)PEs = (0.5) (120.0 N/m) (0.200m)2 = 2.4J h = PE/mg h = 2.4J/ (0.05kg (9.8)) h = 4.89m h = 4.89m - 0.200m (the distance of spring compression) h = 4.69 m b) KE = 2.4J - mgh KE = 2.4 J - (0.050kg) (9.8) (0.200m) KE = 2.3J c) v = root [2 (2.3)/ (0.050kg)] v = 9.60 m/s Answers and Replies May 9, 2015 #2 Simon Bridge 3. The spring constant is k=F/(2x), where x is the distance each end moves. A) x = v k m. B) x = v m k. C) x = v m + M k. D) x = ( m + M) v m k. E) x = m v ( m + M) k. homework-and-exercises newtonian-mechanics harmonic . 1. a. A spring whose spring constant is 850 N/m is compressed 0.40 m. What is the maximum speed it can give to a 500. g ball? 7.70 were told that a spring stores of potential energy of you not when it's compressed by ex lot. 4h. A student is asked to predict whether the final position of the block will be twice as far at x 6D . Correct answer: Explanation: For this problem, use Hooke's law: In this formula, is the spring constant, is the compression of the spring, and is the necessary force. ii. If you compressed the spring to a distance of 0.200 m , how far up the slope will an identical ice cube travel before reversing directions? Here k is the spring constant, which is a quality particular to each spring, and x is the distance the spring is stretched or compressed. You are loading a toy dart gun, which has two settings, the more powerful with the spring compressed twice as far as the lower setting. Answers: 3 Show answers Another question on Physics. Since the spring stretches as much as compresses, the elastic potential energy at position A (the stretched position) is the same as at position E (the compressed position). Two balls with the same mass are placed on springs with the same spring constant. Next you compress the spring by 2 x. Whe the tip of the pen is in its retracted position, the spring is compressed 4.40 mm from its unstrained length. . 2. When a stretched spring is compressed or extended, we experience a force that is equal to the force applied by us in the opposite direction. (16.5m/s) 4. of energy stored up. The spring is compressed downward a distance x=0.200m. But now look at only the left . The spring constant is k = 450 N/m, and the mass is 5.4 kg. At . Twice as much Four times as much Question Image. Question: Notice that all the initial spring potential energy was transformed into gravitational potential energy. Correct answer to the question A spring whose spring constant is 850 N/m is compressed 0.40 m. What is the maximum speed it can give to a 500. g ball? Two springs A and B are identical but A is harder than B (k A > k B ). The direction of the force is always opposite the direction of the stretch or compression. 3. You have a cart track, a cart, several masses, and a position-sensing pulley. . A. So I have my MJ suspended, now but I am assuming that the spring rate of the heavier springs is a little too much. (A) 0.58 J (C) 47 J (B) 1.1 J (D) 73 J 27. 4. Note that the spring is compressed twice as much as in the original problem. (A) 0.58 J (B) 1.1 J (C) 47 J (D) 73 J 27. is 2. In your example object 2, even though it has the same momentum as object 1, has twice the kinetic energy so it will compress the spring more. If the spring in #1 were compressed twice as much, how many times greater would the velocity of the ball be? This is how to calculate how much energy is stored in a spring. Select one: a. the same amount b. twice as much c. four times as much d. eight times as much Expert Answer 100% (2 ratings) Epot = 1/2*k*s^2 E1 = 1/2*k*0.02^2 wh … Easiest way to imagine this is applying an equal force F to each end while the centre remains unmoved. A spring-loaded toy dart gun is used to shoot a dart straight up in the air, and the dart reaches a maximum height of 24 m. The same dart is shot straight up a second time from the same gun, but this time the spring is compressed only half as far as before flring. Energy Conservation 2 San Diego Unified School District 2003 3 11. 1. Other tasks in the category: Mathematics More task. A bullet with a mass of 10 g is fired from a rifle with a barrel that is 85 cm long. 4. x; 6; D. The student reasons that since the spring will be ; compressed twice as much as before, the block will have more energy when it leaves the spring, so it will slide ; A student is asked to predict whether the final position of the block will be twice as far; at x-6D. A student uses a spring launcher whose spring constant is equal to k; to launch a ball of mass Mī to a height of hi, with an initial velocity of V1, when the spring is compressed a distance of X1. In other words, you should assume that doubling the fore applied to the springs will cause it to be compressed twice as much. 3. Which type of bond is found between the atoms of a molecule? d. Determine how much higher the platform would have to be in order for her velocity to be twice as great. The potential energy V (x) of spring is considered to be zero when the spring is at . An arrow with mass m and velocity v is shot into the block The arrow sticks in the block. U s = (0.5) (kx) (x) Removing the parentheses and noticing that x times x is x 2, we have: Us= 0.5kx2. If a spring is stretched, then a force with magnitude proportional to the increase in length from the equilibrium length is pulling each end towards the other. A 0.50 kg block is pushed down on a spring of k = 100 N/m such that the spring is compressed 0.30m. 5. When you hang a 3.15-kg weight from it, you measure its length to be 13.40 cm. as . A spring has a spring constant k of 88.0 N/m. The potential energy U of the block-spring system. Physics, 22.06.2019 02:30. How far up does the dart go this time, neglecting friction and assuming an ideal . A spring whose spring constant is 850 N/m is compressed 0.40 m. a. 2. 150 N 300 N 450 N 600 N 2. 4. 2h. 6. From the compressed position, how high will the ball bearing rise? a. x +x x = 0 0 Fs When a spring is stretched, the spring pulled the object back toward the relaxed position. The student reasons that since the spring wil be compressed twice as much as before; the block will have more energy when it leaves the spring, so it will slide farther along the track before stopping at x=6D. compressed spring has the same kind of stored energy. If it takes 5.0 J of work to compress the dart gun to the lower setting, how much work does it take for the higher setting? A bullet with a mass of 10. g is fired from a rifle with a barrel that is 85 cm long. When you compress the spring 10.0 centimeters, you know that you have. Calculate the maximum speed it can give to a 500 g ball. The correct answer is E, but I need someone to explain it. If we move the spring from an initial displacement X i to a final displacement X f, the work done by the spring force is given as, W s = − ∫ X i X f K d x = K ( X i) 2 2 − K ( X f) 2 2. If you wanted to store 10.0 J of potential energy in this spring, what would be its total length? 3. Answer. (a) 2 m/s (b) 4 m/s (c) 8 m/s (d) 16 m/s 7. In order to push the tip out and lock it into its writing position, the spring must PHYSICS/MATH A mass and spring are arranged on a horizontal, frictionless table. There are two basic forms of energy. D) the lighter box will go twice as high up the incline as the heavier box. How much higher would the platform have to be in order for her velocity to be twice as great? Effectively, the spring compresses by a distance 2x overall. The recoil momentum of a cannon that kicks is (more than) (less than) the momentum of the cannonball it fires. 20 J B. The same spring-loaded . 9) C) both boxes will reach the same maximum height on the incline. The initial position of the spring is at y=0m. At what compressed length is the restoring physics In an arcade game, a 0.12 kg disk is shot across a frictionless horizontal surface by being compressed against a spring and then released. 10 J. c. 2.5 J. d. 40 J Answers: 3 Show answers Another question on Physics. The law essentially describes a linear relationship between the extension of a spring and the restoring force it gives rise to in the spring; in other words, it takes twice as much force to stretch or compress a spring twice as much. neither compressed nor stretched, it applied no force to the attached object. The same is observed for a spring being compressed by a distance x. PE1 + KE1 = PE2 + KE2. final position of the block will be twice as far at . Which sets the top of my Jeep at about 8'6" which I think is a little too tall, and if I end up. If it requires 6.0 J of work to stretch a particular spring by 2.0 cm from its equilibrium length, how much more work. b. D. A student is asked to predict whether the . These springs have potential . B) just as it moves free of the spring, the heavier box will have twice as much kinetic energy as the lighter box. If the spring in (a) were compressed twice as much, determine how many times greater the velocity of the ball . An ideal spring of negligible mass is 12.00 cm long when nothing An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. So the amount of compression in the more powerful setting is twice the compression in the less powerful setting. (A) 1 4 times as large (B) 1 2 times as large If the spring is compressed twice as far, the ball's speed will be? 3. The spring is now compressed twice as much, to . (a) In terms of U0, how much energy does the spring store when it is compressed (i) twice as much and (ii) half as much? (b) In terms of x0, how much must the spring be compressed from its uncompressed length to store (i) twice as much energy . If spring B is compressed twice as much as spring A, how will the speed of ball B compare with the speed of ball A when they leave the springs?
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