A spring of negligible mass has force constant k = 800 N/m. (a) How far must the spring be compressed for 1.20 J of potential energy to be stored in it? (b) You place the spring vertically with one end on the floor. You then lay a 1.60 kg book on top of the spring and release the book from rest. Find the maximum distance the spring will be compressed.
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A spring of negligible mass has force constant k = 800 N/m.
(a) How far must the spring be compressed for 1.20 J of potential energy
to be stored in it? (b) You place the spring vertically with one end on the
floor. You then lay a 1.60 kg book on top of the spring and release the book
from rest. Find the maximum distance the spring will be compressed.
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- A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow is drawn 67.9 cm before releasing the arrow, to what height does the arrow rise?A pogo stick has a spring with a force constant of 2.50 x 10^4 cm, which can be compressed 10.4cm. What is the maximum height in meters above the compressed position of the spring, can a child jump with the stick using only the maximum elastic potential energy in the spring, if the child and stick have a combined mass of 35 kg?When a 2.30-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.99 cm. (a) What is the force constant of the spring? N/m (b) If the 2.30-kg object is removed, how far will the spring stretch if a 1.15-kg block is hung on it? cm (c) How much work must an external agent do to stretch the same spring 9.30 cm from its unstretched position? J Need Help2
- In the figure, a spring with spring constant k = 180 N/m is at the top of a frictionless incline of angle e = 38°. The lower end of the incline is distance D = 0.92 m from the end of the spring, which is at its relaxed length. A 1.5 kg canister is pushed against the spring until the spring is compressed 0.22 m and released from rest. (a) What is the speed of the canister at the instant the spring returns to its relaxed length (which is when the canister loses contact with the spring)? (b) What is the speed of the canister when it reaches the lower end of the incline? (a) Number UnitšTm/s (b) Number Unitsm/s Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER 10:37 PM ENG e to search 4/4/2021 13) 19home & 7. LEGO 08. 9. E R. YYou have a light spring which obeys Hooke's law. This spring stretches 2.24 cm vertically when a 2.40 kg object is suspended from it. Determine the following. (a) the force constant of the spring (in N/m) 1050 N/m (b) the distance (in cm) the spring stretches if you replace the 2.40 kg object with a 1.20 kg object 1.12 cm (c) the amount of work (in J) an external agent must do to stretch the spring 8.50 cm from its unstretched position 758.625 X JThe cable of a 1170 kg elevator cab shown in the figure below snaps when the cab is at rest at a height ?=22.9m above a spring with spring constant ?=9.08×10^4N/m. Additionally a constant friction force created by the clamps sliding along the guide rails is experienced by the cab as it moves in the shaft with strength ?f=8.14×10^3N. (a) What isthe maximum distance xthe spring compresses? (b) What is the maximum acceleration experienced by the elevator during its movement described in the problem? Assume no static friction acting on the cab since we can imagine the clamps not engaging until the moment after the cab begins to fall. Also, note that the clamps stay engaged the whole time, including while the spring is being compressed and while the elevator is bouncing back up.
- When a 2.20-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.30 cm. (a) What is the force constant of the spring? N/m (b) If the 2.20-kg object is removed, how far will the spring stretch if a 1.10-kg block is hung on it? cm (c) How much work must an external agent do to stretch the same spring 8.50 cm from its unstretched position? JWhen 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 spring4.00 cm from its unstretched position? Answer : (a) 472 J (b) 2.76 kNA block of mass 3.8 kg is placed against a horizontal spring of constant k = 735 N/m and pushed so the spring compresses by 0.0550 m. (a)What is the elastic potential energy of the block-spring system (in J)? (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring.
- You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1100 kg car moving at 0.60 m/s is to compress the spring no more than 7.3×10−2 m before stopping. What should be the force constant of the spring? Assume that the spring has negligible massWhen a 2.30-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.26 cm. (a) What is the force constant of the spring? N/m (b) If the 2.30-kg object is removed, how far will the spring stretch if a 1.15-kg block is hung on it? cm (c) How much work must an external agent do to stretch the same spring 7.10 cm from its unstretched position?