k = 10 N/m k2 = 20 N/m www FIGURE P8.59
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Shown are two springs attached to a block that can slide on a frictionless surface. In the block’s equilibrium position, the left spring is compressed by 2.0 cm.
a. By how much is the right spring compressed?
b. What is the net force on the block if it is moved 15 cm to the right of its equilibrium position?
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- In 0.450 s, an 7.00-kg block is pulled through a distance of 3.00 m on a horizontal frictionless surface, starting from rest. The block has a constant acceleration and is pulled by means of a horizontal spring that is attached to the block. The spring has a spring constant of 480 N/m. By how much does the spring stretch as the block is being pulled? i mWhen you stand on a trampoline, the surface depresses below equilibrium, and the surface pushes up on you, as the data for a real trampoline shown. The linear variation of the force as a function of distance means that we can model the restoring force as that of a spring. A 65 kg gymnast stands on the trampoline. How much does the center of the trampoline compress?A. 5.0 cm B. 10 cm C. 15 cm D. 20 cm3. A bob on the end of a pendulum has a mass of 2.00kg. The rope of the pendulum Is 13.0 meters long. At the equilibrium point for the pendulum system, the bob is 10.0cm above the ground. The bob is pulled back to a height of 30.0cm above the ground. With the rope tight, the bob is release. a) Draw a diagram of this situation. Make note of the equilibrium point and the position from which the bob was released. b) Calculate the maximum speed of the bob. c) Calculate the speed of the bob when it is at a height of 17.0 cm above the ground. (
- 11. A 1.30-kg block is pushed against a vertical wall by means of a spring (k = 850 N/m). The coefficient of static friction between the block and the wall is 0.52. What is the minimum compression in the spring to prevent the block from slipping down? cm - wwB53. A block with mass m is connected to two springs having constant forces k₁-2k and k=k. The system is initially in equilibrium on a horizontal, frictionless surface. Then, the block is pushed d distance to the right from rest, a. Draw the free body-diagram for the system and calculate the work done by the acting all forces. b. After the block release what will be the maximum speed of the block and what will be the maximum compression of spring 1? k₁ Spring 1 Spring 2
- A 750 g air-track glider attached to a spring with spring constant 10 N/m is sitting at rest on a frictionless air track. A 250 g glider is pushed toward it from the far end of the track at a speed of 120 cm/s. It collides with and sticks to the 750 g glider. What are the amplitude and period of the subsequent oscillations? a. What is the amplitude of the subsequent oscillations? b. What is their period?okp 9. To measure the static friction coefficient between a 1.25-kg block and a vertical wall, a spring (k = 790 N/m) is attached to the block, is pushed on the end in a direction perpendicular to the wall until the block does not slip downward (see figure). If the spring is compressed by 0.048 m, what is the coefficient of static friction? p136 skpl (p136 skp136 skp136 skp136 sko 136 skp136 skp136 so136 skp136 skp 36 sk1 36 sk skp136 skp136 skp136 skp136 skpl skp136 skp136 skp skp dreamstimemeFish are hung on a spring scale to determine their mass. a. What is the force constant of the spring in such a scale if it the spring stretches 11.00 cm for a 13.0 kg load? b. What is the mass of a fish that stretches the spring 7.00 cm? c. How far apart are the quarter-kilogram marks on the scale?
- A spring has a length of 0.270 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 2.10 kg mass hangs from it. a. What is the force constant (in N/m) of the spring? ____ N/m b. What is the unloaded length (in m) of the spring? ____ mA 10.0 g bullet is fired into and embeds itself in a 1.80 kg block attached to a spring with a spring constant of 21.5 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m10 cm long spring, with a spring constant of 27 N/m, is used to reload the ball in a pinball machine. The spring is compressed by 4.0 cm by a mechanism in the machine and then let go. a. Calculate the elastic potential energy stored in the spring A new spring is fitted into the machine. It only needs to be compressed by 3.0 cm to store the same amount of elastic potential energy as the previus spring. b. Calculate the spring constant of this new spring The owner of the game wants to double the potential energy stored in this new spring. c. Calculate the compression of the spring needed in order to achieve this