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A spring has a relaxed length of 34 cm (0.34 m) and its spring stiffness is 14 N/m. You glue a 80 gram block (0.08 kg) to the top of the spring, and push the block down, compressing the spring so its total length is 15 cm. You make sure the block is at rest, then at time != 0 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 0.06-second interval after you release the block, by applying the Momentum Principle in three steps each of 0.02-second duration. We will only consider the y components in the following calculations, because there is no change in x or 2.

A spring has a relaxed length of 34 cm (0.34 m) and its spring stiffness is 14 N/m. You glue a 80 gram block (0.08 kg) to the top of the spring, and push the block down, compressing the spring so its total length is 15 cm. You make sure the block is at rest, then at time != 0 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 0.06-second interval after you release the block, by applying the Momentum Principle in three steps each of 0.02-second duration. We will only consider the y components in the following calculations, because there is no change in x or 2.

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Part 2 Your answer is partially correct. 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 Earth's surface, the gravitational force due to the Earth is very nearly constant): N Fspring- = FEarth y = Foy = Vy = 1 ym 2.53 -0.784 1.746 Momentum update: Calculate the average net force during the next time interval by the force you just calculated. At time = 2 x 0.02-0.04 seconds, what will the new momentum and velocity of the block be? Py = kg-m/s i 0.03492 i 0.4365 N 0.16746 N 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 timer = 2 x0.02-0.04 seconds? m/s m
Transcribed Image Text:Part 2 Your answer is partially correct. 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 Earth's surface, the gravitational force due to the Earth is very nearly constant): N Fspring- = FEarth y = Foy = Vy = 1 ym 2.53 -0.784 1.746 Momentum update: Calculate the average net force during the next time interval by the force you just calculated. At time = 2 x 0.02-0.04 seconds, what will the new momentum and velocity of the block be? Py = kg-m/s i 0.03492 i 0.4365 N 0.16746 N 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 timer = 2 x0.02-0.04 seconds? m/s m
Use the exact values you enter to make later calculations. Relaxed length Push down, release from rest A spring has a relaxed length of 34 cm (0.34 m) and its spring stiffness is 14 N/m. You glue a 80 gram block (0.08 kg) to the top of the spring, and push the block down, compressing the spring so its total length is 15 cm. You make sure the block is at rest, then at time r=0 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 0.06-second interval after you release the block, by applying the Momentum Principle in three steps each of 0.02-second duration. We will only consider the y components in the following calculations, because there is no change in x orz
Transcribed Image Text:Use the exact values you enter to make later calculations. Relaxed length Push down, release from rest A spring has a relaxed length of 34 cm (0.34 m) and its spring stiffness is 14 N/m. You glue a 80 gram block (0.08 kg) to the top of the spring, and push the block down, compressing the spring so its total length is 15 cm. You make sure the block is at rest, then at time r=0 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 0.06-second interval after you release the block, by applying the Momentum Principle in three steps each of 0.02-second duration. We will only consider the y components in the following calculations, because there is no change in x orz
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