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Extra 2.6.07 (Multistep) Use the exact values you enter to make later calculations. Push down, from Relaxed length rest A spring has a relaxed length of 27 cm (0.27 m) and its spring stiffness is 6 N/m. You glue a 83 gram block (0.083 kg) to the top of the spring, and push the block down, compressing the spring so its total length is 17 cm. You make sure the block is at rest, then at time t0 you quickly move your hand away. The block begins to move upward, because the upward force on the block by the spring is greater than the downward force on the block by the Earth. Calculate y vs. time for the block during a 0.12-second interval after you release the block, by applying the Momentum Principle in three steps each of 0.04-second duration We will only consider the y components in the following calculations, because there is no change in x or z. Part 1 Your answer is correct. Force: Just after releasing the block, calculate the force exerted on the block by the spring, the force exerted on the block by the Earth, and the net force: pring. y 0.6 Earth. yT-0.8134

Fnet,y T-0.2134 Momentum update: Just after releasing the block, the momentum of the block is zero. Calculate the average net force during the next time interval by the force you just calculated. At t = 0.04 seconds what will the new momentum and velocity of the block be? ру P -0.008536 kg-m/s 0.1028 m/s Position update: Initially the bottom of the block is aty-0.17 m. Calculating the average velocity in the first time interval by the final velocity, what will be the new position of the bottom of the block at time 0.04 seconds? yTo.167 Attempts: 9 of 10 used Part 2 Your answer is partially correct. Try again. Force: At the new position, calculate the orce exerted on the block by the spring the force due to the Earth is very nearly constant) ce exerted on the block by the Earth and the net orce em ember near the Earth S su ac tega tational Fs pring.yForce: At the new position, calculate the force exerted on the block by the spring, the force exerted on the block by the Earth, and the net force (remember near the Earths surface, the gravitational force due to the Earth is very nearly constant): spring,y 0.618 Earth.y T-0.8134 ty-0.195 Momentum update: Calculate the average net force during the next time interval by the force you just calculated. At time the block be? 2 X0.04 0.08 seconds, what will the new momentum and velocity of Py -0.0156 kg-m/s 0.0232 m/s Position update: Calculating the average velocity in the second time interval by the final velocity, what will be the new position of the bottom of the block at time t = 2 × 0.04-0.08 seconds? -2 Attempts: 7 of 10 used SAVE FOR LATER SUBMIT ANSWER Part 3

Part 3 Force: At the new position, calculate the force exerted on the block by the spring, the force exerted on the block by the Earth, and the net force (remember near the Earths surface, the gravitational force due to the Earth is very nearly constant) pring,y FEanth,y Momentum update: Calculate the average net force during the next time interval by the force you just calculated. At time t 3 × 0.04 = 0.12 seconds, what will the new momentum and velocity of the block be? 4 kg m/s s m/s Position update: Calculating the average velocity in the second time interval by the final velocity, what will be the new position of the bottom of the block at time 1-3 0.04 = 0.12 seconds? Applying the Momentum Principle in this way to predict motion is a numerical integration-adding up the cumulative effects of many impulses in a succession of time intervals. As you can see, this can be very tedious if done by hand, and this task is much more easily carried out by programming a computer to do all the repetitive operations. However, it is important to do some calculations by hand to understand in detail the procedure that you would program a computer to carry out. Answer * 1: the tolerance is +/-5% Answer *2: the tolerance is +/-596 Answer * 3: the tolerance is +/-5% Answer *4: the tolerance is +/-5% Answer *5: the tolerance is +/-5% Answer * 6: the tolerance is +/-5% Attempts: 0 of 10 used

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Mmentumupdale! there prre , charpe Pn nmometanmplease upvote if it helps으 , momentum-어16 t-016s 0.083 velocity 0 19 m

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