
A block with mass 0.400 kg is on a horizontal frictionless surface and is attached to a horizontal compressed spring that has force constant k=200 N/m. The other end of the spring is attached to a wall. The block is released, and it moves back and forth on the end of the spring. During this motion the block has speed 3.00 m/s when the spring is stretched 0.160 m. (a) During the motion of the block, what is its maximum...
A block of mass m = 4.5 kg is attached to a spring with spring constant k = 710 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 25° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk=0.18. In the initial position, where the spring is compressed by a distance of d = 0.12 m, the mass is at its lowest...
A 2.00 kg frictionless block is attached to a horizontal spring
as shown. Spring constant k = 200.00 N/m. At t = 0, the position x
= 0.225 m, and the velocity is 4.25 m/s toward the right in the
positive x direction. Position x as a function of t is: x =
A*cos(?t + theta) , where A is the amplitude of motion and ? is the
angular frequency discussed Chapter 11 and the notes. Theta is
called the...
A block of mass 1.8 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest. (a) A constant friction force of 3.4 N retards the block's motion from the moment it is released. How much is the spring compressed when the speed of the block is a maximum. (b) What is the maximum speed?
A block of mass m = 3.5 kg is attached to a spring with spring constant k = 780 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 28° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...
please answer as many questions as possible. I will “thumb up” the
answers. Thanks!
1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...
A 0.60 kg block rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 18.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The block is pushed, and the spring compressed, until xi = −4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a)What is the block's maximum speed (in m/s) after it is...
c) The equation below describes the position r of a block attached to a spring at time t: x(t)-x,n cos (wt + ?) i. (2 marks) Explain in words the physical meaning of the variables xm, ? and ?. ii. (2 marks) Derive an expression for the velocity of the block. iii. (2 marks) The spring constant of your oscillator is 400 N/m. At some time the position, velocity and acceleration of the block are r-0.100 m, v- 13.6 m/s...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k =2000N/m. The blocks mass is 10.0kg. The mass of the spring is negligible. The spring is stretched out a distance of 20.0 cm and released. The block undergoes simple harmonic motion with a phase constantf= 1.35 rad. a) determine the timeit takes for the spring to be compressed 6.50cm after it was released b) determine the acceleration of the black at t = 1.50 s.
A spring is hung from the ceiling. A 0.376 -kg block is then attached to the free end of the spring. When released from rest, the block drops 0.140 m before momentarily coming to rest, after which it moves back upward. (a) What is the spring constant of the spring? (b) Find the angular frequency of the block's vibrations.