A novelty clock has a 0.0145 kg-mass object bouncing on a spring that has a force constant of 1.25 N/m. (a) What is the maximum velocity of the object if the object bounces 3 cm above and below its equilibrium position? (b) How many joules of kinetic energy does the object have at its maximum velocity? Help on how to format answers: units PR Sc Co
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- A spring with a force constant of 300 N/m is attached to and compressed by a 4 kg mass to a compression of 1.5 m. The mass is released from rest. The surface is frictionless. How much time does it take the mass to return to the equilibrium position the first time after release? What is the velocity of the mass when it returns to the equilibrium position the first time after release? Include sign.A grandfather clock is constructed so that it has a simple pendulum that swings from one side to the other, a distance of 29.0 mm, in 1.00 s. What is the maximum speed of the pendulum bob? cm/sA block of mass 0.688 kilograms resting on a smooth horizontal surface is attached to a spring with a spring constant of 33.4 newtons per meter. The block is pulled horizontally 14.1 centimeters from its equilibrium position and released. a. What is the total mechanical energy of the system? Include units in your answer. b. What is the speed of the block when it is 9.0 centimeters from its equilibrium position? Include units in your answer. c. One end of the spring is then attached to a support so it hangs vertically, and the block is suspended from it and lowered into a resting position. How far does the block stretch the spring? Include units in your answer. d. As shown below, the block is then lifted 14.1 centimeters (labeled d in the figure) and released. What is the speed of the block when it is 9.0 centimeters from its equilibrium position (labeled y in the figure)? Include units in your answer. More information. Hint: Since the vertical position of the block is changing,…
- 108 mand 25,551 T&T 8. A grandfather clock uses a pendulum that is 76.0 cm long. It is accidentally broken, and when repaired the length is shorter by 2.60 mm. Treating the clock's pendulum as a simple pendulum, by how much will the repaired clock differ from the correct time every period? ms E JL D $ C MA 2 22 Bana R F V 5 T G 6 tv ♫♫ B MacBook Air Y 9 H 8 7 U N 8 J 1 M K MOSISO DO O H W P command zoom Quies ar roe ouffer ? son by m 04 M optionAn object has a mass of 0.5 kg is placed in front of a compressed spring. When the spring was released, the 0.5kg object collides with another object with mass 1.5kg and they move together as one unit. Find the velocity of boxes if the spring constant is 40N/m, and spring. was initially compressed by 20cm. Answer with text and/or attachments:One kind of cuckoo clock keeps time by using a mass bouncing on a spring, usually something cute like a cherub in a chair. What is the spring constant, in newtons per meter, needed to produce a period of 0.325 s for a 0.011-kg mass on the spring?
- A mass of 0.43 kg is is initially traveling at across a horizontal surface. It then reaches a spring with a fixed end having a spring constant of 138 N/m that is positioned horizontally and initially at equilibrium. If the initial speed of the mass is 3.81 as it contacts the spring, what is the speed of the mass after compressing the by 0.153 m if the coefficient of kinetic friction is between the surfaces is 0.47 ?A spring has a length of 0.298 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 3.12 kg mass hangs from it. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (a) What is the force constant of the spring? (Use 9.8 m/s2 for g.) (b) What is the unloaded length of the spring?You attach a 2.0 kgkg object to a spring, pull it down 0.16 mm from the equilibrium position, and let it vibrate. You find that it takes 4.6 ss for the object to complete 10 vibrations. Determine the frequency of vibrations. Determine the spring constant. Determine the total energy of system Determine the maximum speed. Determine the maximum acceleration
- A spring has a length of 0.260 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 2.80 kg mass hangs from it. What is the force constant (in N/m) of the spring? What is the unloaded length (in m) of the spring?A mass of .5kg is attached to a spring is displaced at a distance X from the resting position of the spring. At the initial time 0 the mass is released and its position= pt=.15meters x cos((pi/seconds)*t) What are thee two times and positions the magnitude of acceleration reaches at it's max Find the maximum accelerationA 25 kg mass sliding on a horizontal frictionless floor at 10 m/s rams a spring that is attached to a vertical wall. a) Determine the spring constant when the maximum compression of the spring is 0.453 meters? b) How much compression does the spring have if the speed of the mass has decreased to 7.5 m/s? Show the fbd/figure, given and formula used.