The log-log coordinate system below has mass m (in kg) on the horizontal axis, and period T (in s) on the vertical axis. Click on the spot that represents (m=0.50 kg, T=1.5 s). This requires precision work!
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- A block of mass m = 1.5 kg is attached to a spring with a spring constant k. The position of the block as function of time is given by: x(t) = 0.2 cos(10t+n/2). Deduce the spring constant, k, and the total energy of the system: k = 150 N/m and E = 15 J O k = 150 N/m and E = 3 J O k = 200 N/m and E = 20 J Ok = 200 N/m and E = 4 J The solution of the equation of motion of a simple pendulum is given by: 8(1) = 0.2Show the work of converting.Hanging Mass: A block of mass 14.1 kg is connected to a light cord of length 351.3 cm and a spring with an equilibrium length of 33.4 cm. The block hangs motionless as shown in the figure. The spring has a spring constant of 1799 N/ m. As the block hangs in equilibrium, the spring is horizontal and the cord makes an angle of 24 ° with respect to vertical. T k M (a) What is the tension in the cord? (b) How far is the spring stretched from its equilibrium length?
- Jum The mass of the block depicted in the image is 1.60 kg. The spring has a spring constant of 76.9 N/m. The coefficient of static friction between the block and the floor is 0.726. Assume that the spring makes no contact with the floor and therefore friction only acts on the block. How far must the block and spring assembly be compressed to just barely overcome the force of static friction acting on the block? Report your result in meters.A 90-gram mass is placed on a vertically oriented spring that then is stretched 0.5 meters below its equilibrium position and released. If the spring constant is 200 N/m, how fast will the mass be moving when it reaches the equilibrium position? Hint: You cannot ignore the change in gravitational potential energy in this problem. Please give your answer in units of m/s, however, do not explicitly include units when typing your answer into the answer box. Including actual units will result in your answer being incorrectly scored.To measure the spring constant of a certain spring, a student put a mass of 700 g at the bottom of the spring, and the spring stretches by 35.0 cm. What is the spring constant?
- An object with mass moves with position function r(t) a sin t i + b cos tj + ct k 0 < t < pi /2. Find the work done on the object during this time period.When a 3 kg mass is hung on a vertical spring, it extends the spring by 2.00 m. What is the spring constant of the spring in N/m? (Assume g = 10m/s2).Tarzan, mass 71 kg, holds on to a vine of length 10 m. He is initially at rest and the vine is initially horizontal. Tarzan then uses the vine to swing, going in a circular arc. Calculate the tension in the vine, in N, when the vine has become vertical. (Please answer to the fourth decimal place - i.e 14.3225)
- A particle moves with a position as a function of time given by r(t) = 6 t i + -1 t2 j (m). One of the forces acting on the particle is given by F(t) = -10 t2 i + -4 t j (N). What is the power developed by this force 3 s into the journey, in W? (Please answer to the fourth decimal place - i.e 14.3225)A 25.0 cm long spring is hung vertically from a ceiling and stretches to 30.5 cm when a 6.50 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m). N/m (b) Find the length of the spring (in cm) if the 6.50 kg weight is replaced with a 165 N weight. cmI need help solving the equations symbolically and I don't know how to get the m value for the first part.