Question

In: Physics

A block with a mass m = 2.12 kg is pushed into an ideal spring whose...

A block with a mass m = 2.12 kg is pushed into an ideal spring whose spring constant is k = 3580 N/m. The spring is compressed x = 0.073 m and released. After losing contact with the spring, the block slides a distance of d = 1.71 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.)

B.) What is the numerical value of the coefficient of kinetic friction between the block and the floor?

Solutions

Expert Solution


Related Solutions

a block of mass m=0.10 kg attached to a spring whose spring constant is k=2.5 N/m...
a block of mass m=0.10 kg attached to a spring whose spring constant is k=2.5 N/m . At t=0.2s, the displacement x=-0.3m, and the velocity v=-2.0m/s a) find the equation of displacement as a function of time b) sketch the displacement as a function of time for the first cycle starting t=0s
A block of mass 0.5 kg is pushed against a horizontal spring of negligible mass, compressing...
A block of mass 0.5 kg is pushed against a horizontal spring of negligible mass, compressing the spring a distance of Δx as shown in Figure 5. The spring constant is 450 N/m. When released the block travels along a frictionless horizontal surface to point B, the bottom of a vertical circular track of radius R = 1 m and continues to move up the track. The circular track is not smooth. The speed of the block at the bottom...
The displacement of a block of mass 1.280 kg attached to a spring whose spring constant...
The displacement of a block of mass 1.280 kg attached to a spring whose spring constant is 50 N/m is given by x = A cos ωt, where A = 12 cm. In the first complete cycle, find the values of x and t at which the kinetic energy is equal to one half the potential energy.
1.A block of mass 2.0 kg is pushed down on a vertically oriented spring that has...
1.A block of mass 2.0 kg is pushed down on a vertically oriented spring that has a spring constant of 1500N/m.. Initially, the spring is compressed by 5.0 cm and the block is at rest. When the block is released, it accelerates upward. Find the speed of the block when the spring has returned to its equilibrium position. 2.The collision between a hammer and a nail can be considered to be approximately elastic. Assume that the nail, initially at rest,...
A block of mass m = 2.5 kg is attached to a spring with spring constant...
A block of mass m = 2.5 kg is attached to a spring with spring constant k = 640 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 27° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.11. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...
A block of mass m= 10.0kg is attached to the end of an ideal spring. Due...
A block of mass m= 10.0kg is attached to the end of an ideal spring. Due to the weight of the block, the block remains at rest when the spring is stretched a distance h= 8.00cm from its equilibrium length. (Figure 1) The spring has an unknown spring constant k. Take the acceleration due to gravity to be g = 9.81m/s2 . What is the spring constant k? Express your answer in newtons per meter.         k...
A block with mass 2 kg is attached to an ideal massless spring and undergoes simple...
A block with mass 2 kg is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.50 s. The surface is frictionless. The amplitude of the oscillation is 0.1 m. (a) What is the spring constant of the spring? (b) What is the total mechanical energy of the system (the spring and block system)? (c) What is the maximum speed of the block? (d) What is the speed of the block when the displacement...
A block of wood of mass 4 kg is connected to a spring, whose other end...
A block of wood of mass 4 kg is connected to a spring, whose other end is tethered to a wall. As the spring is stretched and compressed, the block undergoes simple harmonic motion on the (frictionless) floor. The displacement of the block with respect to its equilibrium position is x = 0.205 cos ( 22.5 t ) where x is measured in m and t is measured in seconds. 1.) Which of these statements is true at time t...
A block of 0.42 kg attached to a horizontal spring whose spring constant is 130.00 N/m...
A block of 0.42 kg attached to a horizontal spring whose spring constant is 130.00 N/m has a simple harmonic motion (SHM) with an amplitude of 0.11 m. The figure above shows one complete cycle of the SHM, and the vertical green dashed line indicates the equilibrium position of the block. (d) Calculate the block 's velocity at 0.045 s. The velocity can be positive, zero or negative. Notice that the unit of angular frequency ω is rad/s, the unit...
A block of mass 1.59 kg is connected to a spring of spring constant 148 N/m...
A block of mass 1.59 kg is connected to a spring of spring constant 148 N/m which is then set into oscillation on a surface with a small coefficient of kinetic friction. The mass is pulled back 30.6 cm to the right and released. On the first right to left oscillation, the mass reaches 29.38 cm to the left. Part A What is the coefficient of friction? Part B To what distance does the mass return on the slide back...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT