A block on a frictionless horizontal surface is attached to a cable and a spring that is stretched 0.17 m. The block is in equilibrium (Fnet = 0) and the cable has a tension of 48 N. The normal force on the block is 57 N. What is the block's mass and the spring constant ?

A 30 kg mass is hanging at rest on the 60o slanted, frictionless surface.  The spring has been stretched by 30.1 cm.  Determine the magnitude of the spring constant, in N/m2.

A hockey puck with mass 0.166 kg is pushed across the ice with a constant force of 0.89 N. The coefficient of kinetic friction between the puck and the ice is 0.22. After a distance of 2.6 m, what is the puck's speed in m/s?

The friction force that a horizontal surface exerts on a 62 kg object is 23 N. If the initial speed of the object is 27 m/s, what distance will it slide before coming to a stop?

A net (unbalanced) external force of 100.0 N acts on an object of mass 20.0 kg whose initial speed is 10.0 m/s. The force acts in the opposite direction from the object's motion, and it acts for 1.00 s. What is the object's final speed, in m/s?

A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 50 cos(10t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k. k = 1000 Newtons / meter b. Formulate the initial value problem for y(t), where y(t) is the displacement of the object from its equilibrium rest state, measured positive in the downward direction. (Give your answer in terms of y, y', y", t.) Differential equation: (equations) Initial conditions: y(0) = 0 and y'(0) c. Solve the initial value problem for y(t). y(t) = = 0 help help (numbers) help (formulas) d. Plot the solution and determine the maximum excursion from equilibrium made by the object on the time interval 0 ≤ t < ∞. If there is no such maximum, enter NONE. maximum excursion = meters help (numbers)

A 2 kg box is pressed against a spring which is compressed 5 cm. If the stiffness of spring is 50 N/m and the coefficient of static friction between the  box and table is 0.2, what is the box's acceleration when it is released?

A bead with mass 1.80 × 10-2 kg is moving along a wire in the positive direction of an x axis. Beginning at time t = 0, when the bead passes through x = 0 with speed 12.0 m/s, a constant force acts on the bead. The figure indicates the bead's position at times t0 = 0.00 s, t1 = 1.00 s, t2 = 2.00 s, and t3 = 3.00 s. The bead momentarily stops at t = 3.00 s. What is the kinetic energy of the bead at t = 10.0 s?

A 1.80 kg box rests on a plank that is inclined at an angle of 62.0° above the horizontal. The upper end of the box is attached to a spring with a force constant of 24.0 N/m. If the coefficient of static friction between the box and the plank is 0.30, what is the maximum amount the spring can be stretched and the box remain at rest?

A block of mass m1 = 10.0 kg is connected to a block of mass m2 = 36.0 kg by a massless string that passes over a light, frictionless pulley. The 36.0-kg block is connected to a spring that has negligible mass and a force constant of k = 220 N/m. The spring is unstretched when the system is, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 24.0 cm down the incline of angle ? = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched. On a vertical plane vm1 = ___m/s vm2 = ____m/s.