An undamped spring-mass system with a mass weighing 9 lb and a spring constant of 6 lb/in is set in motion at t = 0 by an external force of 4 cos 9t lb. Find the position u (in feet) at any time t (in seconds). u(t) = Assume that acceleration due to gravity is 32ft/s².
Q: A box with mass m = 2 kg initially compresses a spring with spring constant k = 100 N by a…
A:
Q: The motion of a particle is given by x(t)=(8) cm Cos(13t), where t is in s. What is the first time…
A: WE KNOW THAT
Q: Homework 7, Problem 6: A vertical spring has a length of 0.25 m when a 0.225 kg mass hangs from…
A: We have F1 = m1 g = k(x1) = k(L1 - L0)............(1) and F2 = m2g =…
Q: A 2.50-kg mass is attached to a vertical spring with spring constant, k=96.0 N/m and allowed to…
A:
Q: Consider the following motion: (a) You start at the origin then walk 2 steps in the positive x…
A: Solution: 1. Given that the motion starts at the origin, and two steps walked in a positive x…
Q: A toy cannon uses a spring to project a 5.35-g soft rubber ball. The spring is originally compressed…
A: Given Data:The mass of the rubber ball is m=5.3 g.Initial compression of the spring is x=4.95 cm.The…
Q: Calculate the work performed on the gas in this process
A:
Q: Consider a spring with a spring constant of 180 N/m hanging vertically from the ceiling. If a 8 kg…
A: Given, the spring constant of the spring, k= 180 N/m Mass attached, m= 8 kg
Q: Find the magnitude of force in the unit of N required to compress a spring with spring constant k =…
A: Spring constant k = 327 N/m Compression in the spring is x = 1.2 cm = 0.012 m
Q: A block on a frictionless horizontal surface is attached to a cable and a spring that is stretched…
A: Given data, Stretched in the spring = 0.17 m Tension in the cable = 48 N Normal force on the block =…
Q: 3.12 Consider the following figure. A string has one end tied to a wall, extends across a small…
A: The second end of the strand is attached to a pulley Length of strand, L = 7 m Mass of strand, m =…
Q: A projectile fired from the ground follows the trajectory given by the following equation, where v…
A:
Q: 5. A mass attached to a string of length L is released from rest from an initial horizontal…
A: When the mass falls down, the potential energy (V = mgL) is converted into kinetic energy (T1),…
Q: A toy gun uses a spring with a force constant of 425 N/m to propel a 14.0 g steel ball. The spring…
A: Given: The force constant of the spring is k = 425 N/m The mass of the steel ball is m = 14 g The…
Q: 25. A spring with spring constant of 840 N/m is attached on the left side to a wall and to the right…
A:
Q: A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal.…
A: See below
Q: Part 2 - Inelastic collision Q6 to Q10 are based on the following graph that shows the angular…
A: Given, ωi=41.91rad/sωf=20.81rad/st1=10.69t2=9.963
Q: The dangling mass is given a downward velocity of 9 m/s. Calculate the maximum extension of the…
A: Applying Conservation of Energy, we can write that energy required to move the block is equal to the…
Q: A frictionless spring with a 8-kg mass can be held stretched 1.2 meters beyond its natural length by…
A: Solution: The restoring force applied by the spring is 100N and a retarding force equal to twice its…
Q: A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is…
A:
Q: A 2.50-kg mass is attached to a vertical spring with spring constant, k=96.0 N/m and allowed to…
A: Given: The mass of the object is 2.5 kg. The spring constant is 96 N/m. The amplitude of the system…
Q: When a 1 kg mass is hung on a vertical spring, it extends the spring by 0.50 m. What is the spring…
A: The weight of a hanging mass is, W=mg=1 kg10 m/s2=10 N
Q: A frictionless spring with a 6-kg mass can be held stretched 1.4 meters beyond its natural length by…
A:
Step by step
Solved in 4 steps
- A spring with a spring constant of k = 192 N/m is initially compressed by a block a distance d = 0.23 m. The block is on a horizontal surface with coefficient of kinetic friction μk, static friction μs, and has a mass of m = 7 kg. How large would the coefficient of static friction μs need to be to keep the block from moving? Recall that to keep the block from moving, the acceleration is zero. Assuming the block has just begun to move and the coefficient of kinetic friction is μk = 0.2, what is the block's acceleration in meters per square second?An ideal spring hangs vertically. When a 359- g object is hung from the bottom end, and lowered gently, the spring stretches 6.23cm. How much would the spring have stretched, in cm, if the mass of the object had been 601 g instead ?A frictionless spring with a 6-kg mass can be held stretched 2 meters beyond its natural length by a force of 90 newtons. Find the position of the mass after t seconds if the mass experiences a retarding force equal to twice its velocity and it starts at a velocity of 0.5 m/s:
- An object with a mass of 7.03 kg is attached to the lower end of an ideal spring and lowered gently. If the spring constant of the spring in 520 N/m then how far in meters, did the lower end of the spring move as the object was being lowered? d=?A 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/sA 3 kg block attached to a spring with a spring constant of 9 N/m oscillates horizontally on a frictionless table. Its velocity is 7 m/s when x0 = 0.39 m. What is the block's maximum acceleration (in m/s^2)?
- The graph shows the measured force for a spring as it is compressed through various displacements.How do you measure the mass of an astronaut in orbit? (You can't just use a scale!) For the 1973 - 1979 Skylab program (Skylab was a space station that predated the current International Space Station), NASA engineers designed a Body Mass Measuring Device (BMMD). This is essentially a chair of mass m mounted on a spring with a carefully measured spring constant ks = 605.6 N/m. (The other end of the spring is connected to the Skylab itself, which has a mass much larger than the astronaut or the chair, and so remains essentially fixed as the astronaut oscillates.) The period of oscillation of the empty chair is measured to be 0.90149 s. When an astronaut is sitting in the chair, the period is 2.12151 s. What is the astronaut's mass? Please describe your reasoning!A 205 g object is attached to a spring that has a force constant of 76.5 N/m. The object is pulled 7.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed vmax of the object. Umax = m/s Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative. position: cm position: cm
- A block weighing 14.0 N can slide without friction on an inclined plane at an angle of 40.0 degrees. At one end of the beam is attached a light spring which has a length when not stretched of 0.450 m and a spring constant of 120 N / m. determine the equation of motion of the block by taking the xy coordinates (horizontal x and y vertical)!A 3 kg mass is fastened to the end of a spring with a spring constant of 109 N/m. The mass position is given by x(t)=Acos(omega*t), with A=0.22 m. What is the mass's maximum speed in m/s? Give your answer to three significant figures.In a physics lab experiment, a spring clamped to the table shoots a 20 g ball horizontally. When the spring is compressed 20 cm, the ball travels horizontally 7.3 m and lands on the floor 1.5 m below the point at which it left the spring. What is the spring constant in N/m. (Don't forget to convert units.) Hint: This is a projectile motion problem. Use time to fall t = srt(2*y/g).