A 1100-kg car moving on a horizontal surface has speed v = 60 km/h when it strikes a horizontal coiled spring and is brought to rest in a distance of 2.6 m. Part A What is the spring stiffness constant of the spring? Express your answer to two significant figures and include the appropriate units.
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- For the system below, let k = 200 N/m, b = 20 N*s/m, and m = 0 kg. For the following cases, sketch the displacement graph over time and define the energy stored in the system at the beginning and at steady state. a. x(0) = 0; f(t) = 0 b. x(0) = 0.3m; f(t) = 0 C. x(0) = 0m; f(t) = 25 N m = 0 k ий 1+1 f(t) bA block with a mass m = 2.5 kg is pushed into an ideal spring whose spring constant is k = 4520 N/m. The spring is compressed x = 0.066 m and released. After losing contact with the spring, the block slides a distance of d = 2.25 m across the floor before coming to rest. a. Write an expression for the coefficient of kinetic friction between the block and the floor using the symbols given in the problem statement and g (the acceleration due to gravity). (Do not neglect the work done by friction while the block is still in contact with the spring.)PART A k = 2.000 N/m M=0.125kg %3D A 0.125kg mass is attached to a horizontal spring of spring constant k = 2 N/m and set into oscillation. Assume frictionless floor. What is the angular frequency o of the vibration? o = How about the vibrating frequency f in Hz? f = The position of the mass is given as x = A cos (ot + o). With your calculated value of w, fill in the following table (don't forget to set your calculator to "radian mode"). Each row represents a different oscillation with the same spring, pay attention to sign: А (m) x (m) v (m/s) a (m/s?) t (s) фо (rad) F (N) 0.03 2.5 0.3 0.04 0.02 0.2 0.06 0.1 0.4 0.04 0.3 -0.2 0.5 0.04 0.1 0.1
- A 12-cm-long spring is attached to the ceiling. When a 1.5 kg mass is hung from it, the spring stretches to a length of 18 cm. Part A What is the spring constant k? Express your answer with the appropriate units. View Available Hint(s) k = Submit Part B y' = μᾶ Value Submit How long is the spring when a 3.0 kg mass is suspended from it? Express your answer with the appropriate units. View Available Hint(s) μà Units Value ? UnitsConstants A scallop forces open its shell with an elastic material called abductin, whose Young's modulus is about 2.0 x 106N/m². Part A If this piece of abductin is 4.0 mm thick and has a cross-sectional area of 0.45 cm? , how much potential energy does it store when compressed 0.80 mm ? Express your answer using two significant figures. ΑΣφ. ? PE elastic = J Submit Request AnswerPart A: The position of a 40 gg oscillating mass is given by x(t)=(2.0cm)cos(10t)=(2.0cm)cos(10t), where t is in seconds. Determine the velocity at t=0.40s=0.40s. Express your answer in meters per second to two significant figures. Part B: Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? Express your answer in newtons per meter to two significant figures. Part C: What is the total energy E of the mass described in the previous parts? Express your answer in joules to two significant figures.
- A dump truck, whose bed is made of steel, holds an old steel watering trough. The bed of the truck is slowly raised until the trough begins to slide. For dry steel on steel: P=0.80, 1 = 0.60. Part A What is the acceleration of the trough as it slides down the truck bed? Express your answer with the appropriate units. a= Value Submit μA Provide Feedback Request Answer Periodic Table Units ? Next >X Incorrect The 14.9-in.spring is compressed to a 7.6-in. length, where it is released from rest and accelerates the sliding block A. The acceleration has an initial value of 440 ft/sec² and then decreases linearly with the x-movement of the block, reaching zero when the spring regains its original 14.9-in. length. Calculate the time t for the block to go (a) 3.65 in. and (b) 7.3 in. -7.6 14.9 Answers: To go 3.65 in., t= i To go 7.3 in., t= 0.017 0.012 sec secPart A Find the coefficient of kinetic friction between a 3.75-kg block and the horizontal surface on which it rests if an 84.0-N/m spring must be stretched by 6.40 cm to pull it with constant speed. Assume that the spring pulls in the horizontal direction. Ην ΑΣφ Submit Request Answer
- A 10 kg runaway grocery cart runs into a spring with spring constant 240 N/m and compresses it by 62 cm. Part A What was the speed of the cart just before it hit the spring? Express your answer with the appropriate units. V = ☐ μA Value Submit Request Answer Units ?Part A A small fly of mass 0.25 g is caught in a spider's web. The web oscillates predominantly with a frequency of 3.0 Hz . What is the value of the effective spring stiffness constant k for the web? Express your answer to two significant figures and include the appropriate units. HẢ 3) ? k = Value Units Submit Request Answer Part B At what frequency would you expect the web to oscillate if an insect of mass 0.50 g were trapped? Express your answer to two significant figures and include the appropriate units. 미 f2 = Value Units Submit Request Answer