Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 4, Problem 27P
To determine
The instantaneous acceleration of the mass.
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A spring with 1 kg mass was initially attached in the ceiling and undeformed. The mass was released from rest. Due to its weight, the spring stretched for 10s with spring constant of 1N/m. Determine the velocity of the mass after 10s.
When a 0.106 kg mass is suspended at rest from a certain spring, the spring stretches 4.30 cm . Find the instantaneous acceleration of the mass when it is raise 6.10 cm, compressing the spring 1.80 cm.
A force of 15.0 N is required to stretch a spring a distance of 5.20 cm. What is the force constant of the spring, in units of N/m?
Chapter 4 Solutions
Physics Fundamentals
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56P
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- When an 80.0kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force constant of the spring? (b) Will the spring be compressed more when he hops down the read?arrow_forwardA student working on a school project modeled a trampoline as a spring obeying Hookes law and measured the spring constant of a certain trampoline as 4617 N/m. If a child of mass 27.0 kg compresses the trampoline vertically by a maximum of 0.25 m, while bouncing up and down, what is the childs acceleration at the moment of maximum compression?arrow_forwardWhen a 0.111 kg mass is suspended at rest from a certain spring, the spring stretches 4.20 cm. Find the instantaneous acceleration of the mass when it is raised 5.50 cm, compressing the spring 1.30 cm. magnitude:arrow_forward
- A 6.5 kg mass hangs vertically from a spring with spring constant 810 N/m. The mass is lifted upward and released. Calculate the acceleration on the mass when the spring is compressed by 0.49 m.arrow_forwardA mass-spring system is set up so that the mass oscillates in the horizontal. The mass is 0.83_kg, and the spring has constant 44 N/m. The mass is pulled back so that the spring stretches 0.78_m, and then the mass is released. Find the speed of the mass when it is located at 0.39_m. (Assume there is no friction between the mass and the tabletop.) O 4.559_m/s O 4.918_m/s 4.181_m/s O 4.722_m/s 4.026_m/s 4.382_m/sarrow_forward3/142 The system is released from rest with the spring initially stretched 75 mm. Calculate the velocity v of the cylinder after it has dropped 12 mm. The ba spring has a stiffness of 1050 N/m. Neglect the mass of the small pulley. s A oibod lo soboti iod k = 1050 N/m An codmun The a.0 45 kgarrow_forward
- How long is the spring when a 3.0 kg mass is suspended from it?arrow_forwardA mass-spring system is set up so that the mass oscillates in the horizontal. The mass is 0.87 kg, and the spring has constant 40 N/m. The mass is pulled back so that the spring stretches 0.79_m, and then the mass is released. Find the speed of the mass when it is located at 0.33_m. (Assume there is no friction between the mass and the tabletop.) 4.58_m/s 4.362_m/s 5.488_m/s D. 4.867_m/s 5.321 m/s 5.049_m/s А. В. Е. С. F.arrow_forwardA vertical spring has a force constant of 150 N/m. By how much will the spring be compressed if a mass 1.30 kg is placed on top of it?arrow_forward
- A horizontal spring with a force constant of 11 N>m is connected to an air-track cart.When the cart is set in motion, the spring causes it to oscillate back and forth with a periodof 1.2 s. What is the mass of the cart?arrow_forwardA child’s toy consists of plastic attached to a spring. The spring is compressed against the floor at a distance of 2.69 cm, and the toy is released. The acceleration of gravity is 9.8 m/s2. If the toy has a mass of 115 g and rises to a maximum height of 64.5 cm, estimate the force constant of the spring in N/m.arrow_forwardA mass of 0.298 kg is attached to the end of a massless spring of unknown spring constant. The mass is dropped from rest at point A, with the spring initially unstretched. As the mass falls, the spring stretches. At point B the mass is as shown in the figure below, where v = 5.20 m/s. (a) Find the force constant of the spring.(b) Find the magnitude of the acceleration of the mass at point B.arrow_forward
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