8. A mass of 240 g oscillates on a horizontal frictionless surface at a frequency of 3.0 Hz and with amplitude of 4.5 cm. (a) What is the effective spring constant for this motion? (b) How much energy is involved in this motion?

One end of a horizontal spring with k=80N/m is fixed on the wall. A 5kg block is moving at 2m/s when it touches on the free end of a spring. Find the maximum compression of spring Δ: a) if the floor is frictionless ... Δa=...b) if there is kinetic friction with magnitude 10N between block and the floor..... Δb=...c) the amount of thermal energy produced in case (a).. ΔEth-a=.... and (b)... ΔEth-b=.......

A mass of 1.2kg is attached to a spring with a constant 12N/m. it is then displaced to a maximum point of 2m. How much time does it take for the block to travel to the point x=1.5m? answer in seconds

A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. It takes 3.1 J of work to compress the spring by 0.15 m . If the spring is compressed, and the mass is released from rest, it experiences a maximum acceleration of 12 m/s2. Find the value of the spring constant. Find the value of the mass.

a) A friend says they have a spring that stretches 5cm every 1 N that is applied. If they stretch the spring to 10 cm (double the distance), how does the spring constant change? b) If given 2 springs, how can you tell which has a greater spring constant without takinG measurements?

A 2.8 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring, (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 7.5 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.4 cm. m/s Additional Materials

9. A 7.9 kg object is suspended 10 m above the ground. Directly beneath it is a spring with a spring constant of 6500 N/m. Qualitatively describe what occurs to the energy of the system once the object is released? (Hint: Consider what occurs as the object falls, encounters the spring, and if it will go back up again!)

OK, once again we have a pendulum, this time of length 1.18 m, which you release from rest at an angle of 46.8 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 37.4 degrees above the vertical?     3.51 m/s     1.59 m/s     2.70 m/s     2.18 m/s

If the spring constant of a pogo stick is 3500. N/m and the weight of the person on the pogo stick is 700. N, how much is the spring in the bottom of the pogo stick compressed if the person is able to reach a height of 1.75 m above the equilibrium point of the spring? (Choose h = 0 m at the equilibrium point)