Harmonic Oscillator: A 0.40-kg object is attached to a spring with force constant 100 N/m so that the object is allowed to move on a horizontal frictionless surface. The object is released from rest when the spring is compressed 20 cm. Find (a)the maximum velocity during the entire motion (b) the maximum acceleration during the entire motion, (c) the total energy in the system (d) the velocity when the stretch is at 10cm.

(b) Neglecting all resistive forces, determine the spring constant. N/m (c) Neglecting all resistive forces, find the speed of the projectile as it moves through the equilibrium position of the spring (where x = 0), as shown in Figure (b). m/s

A 205 g object is attached to a spring that has a force constant of 74.5 N/m. The object is pulled 6.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed Umax of the object. 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: Umax = cm position: m/s cm

5) A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, %3D compressing it 0.22 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with a slope of 36.9°. a) What is the speed of the block as it slides along the horizontal surface after having left the spring? 2.00 kg k = 400 N/m wwww b) How far does the block travel up 36.9 ° the incline before starting to slide block?

A block with mass 300 g is held at rest against a spring with spring con- stant 200 N/m that has been compressed 3 cm from its equilibrium length. The block is released and allowed to slide on a table, and the coefficient of kinetic friction between the block and the Problem 1 table is 0.3. The block slides a short distance on the table and then comes to rest. Assume the block loses contact with the spring when the spring is at its equilibrium length, and that the friction force only acts after the block has lost contact with the spring. (a) How much work does the spring force do on the block? (b) How much work does the kinetic friction force do on the block? (c) After leaving the spring, what distance does the block slide before coming to rest? (d) What speed did the block have after sliding 5 cm from the point it lost contact with the spring?

do the rest

A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm. The block is released and it slides across the floor a distance of 3.4 m before it stops. The coefficient of friction between the block and floor is 0.185. Find the force constant of the spring.