Homework Answers
A mass m is tied to an ideal spring with force constant k and rests on...
A mass m is tied to an ideal spring with force constant k and rests on a frictionless surface. The mass moves along the x axis. Assume that x=0 corresponds to the relaxed position of the spring. The mass is pulled out to a position xm and released. Derive an expression for the positions at which the kinetic energy of the mass is equal to the elastic potential energy of the spring. Express your answer in terms of Xm.
A 2.00 kg block is pushed against a spring with negligible mass and force constant k = 400 N/m compressing it 0.220 m.
A 2.00 kg block is pushed against a spring with negligible mass and force constant k = 400 N/m compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37.0 degree. What is the speed of the block as it slides along the horizontal surface after having left the spring? How far does the block travel up the incline before stops and starts to slide back...
A mass M is connected to a spring with spring constant k on either side, on...
A mass M is connected to a spring with spring constant k on either side, on a frictionless surface. The mass is initially held a distance X from equilibrium before it is released from rest and allowed to oscillate. If the maximum speed of the mass during oscillation is VmaxVmax=10.6msms, and the initial displacement X=3.7m, what is the period of oscillation? Answer in seconds.
A m= 2.00 kg block is pushed against a spring with negligible mass and force constant k= 300. N/m
A m= 2.00 kg block is pushed against a spring with negligible mass and force constant k= 300. N/m, compressing it d= 0.250 m. When the block is released, it moves along a frictionless, horizontal surface and then up an incline with slope 37.0° and a coefficient of kinetic friction of 0.320. A)What is the speed of the block as it slides along the horizontal surface after having left the spring?B) How far does the object travel up the incline before...
A 0.535-kg mass is attached to a horizontal spring with k = 108 N/m. The mass...
A 0.535-kg mass is attached to a horizontal spring with k = 108 N/m. The mass slides across a frictionless surface. The spring is stretched 24.5 cm from equilibrium, and then the mass is released from rest. a) Find the mechanical energy of the system. b) Find the speed of the mass when it has moved 4.13 cm. c) Find the maximum speed of the mass.
A 5kg mass is hung vertically from a spring with k = 200 N/m. a) When...
A 5kg mass is hung vertically from a spring with k = 200 N/m. a) When the spring is at ewuilibrium, what tension will it have? b) How far is the spring stretched from its natural equilibrium point? c) If the stretch is maintained, but the spring is rotated horizontally and olaced on a frictionless table, what will the block's acceleration be when released? d)What if the table has muk = 0.2 and mus = 0.4? Determine if the block...
A spring with k = 38.1 N/m is at the base of a frictionless 30.0° inclined...
A spring with k = 38.1 N/m is at the base of a frictionless 30.0° inclined plane. A 0.500-kg object is pressed against the spring, compressing it 0.200 m from its equilibrium position. The object is then released. How far along the incline does the object travel before coming to rest and then sliding back down?
9. A mass m is attached to a massless spring with a force constant k. The...
9. A mass m is attached to a massless spring with a force constant k. The mass rests on a horizontal, frictionless surface. The system is compressed a distance x from the spring's initial position and then released. The momentum of the mass when the spring passes its equilibrium position is given by (A) xvmek (B) x/k/m o x/m/k (D) x/km + KxP = {mv² p=mv
A block of mass m is 650 g which is tied to a spring whose spring...
A block of mass m is 650 g which is tied to a spring whose spring constant is 62 N/m. The block is pulled a distance x=11 cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t=0 s. What are the angular frequency, the frequency, and the period of the resulting motion? What is the amplitude of the oscillation? What is the maximum speed Vm of the oscillating block, and where is the...
A 223 g block connected to a light spring with a force constant of k =...
A 223 g block connected to a light spring with a force constant of k = 5 N/m is free to oscillate on a horizontal, frictionless surface. The block is displaced 3 cm from equilibrium and released from rest. a) Find the period of its motion. (Recall that the period, T, and frequency, f, are inverses of each other.) b) Determine the maximum acceleration of the block.
9. A mass m is attached to a massless spring with a force constant k. The mass rests on a horizontal, frictionless surface. The system is compressed a distance x from the spring's initial position and then released. The momentum of the mass when the spring passes its equilibrium position is given by (A) xvmek (B) x/k/m o x/m/k (D) x/km + KxP = {mv² p=mv
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