(1)  It is weigh-in time for the local under-85-kg rugby team. The bathroom scale used to assess eligibility can be described by Hooke's law and is depressed 0.66 cm by its maximum load of 115 kg. (a) What is the spring's effective spring constant (in N/m)? N/m One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (b) Calculate the force constant (in N/m) of its plunger's spring if you must compress it 0.170 m to drive the 0.0520 kg plunger to a top speed of 24.0 m/s.

A 2.0 kg block is placed against a spring on a frictionless 30 degrees incline (from the horizontal). The spring, whose spring constant is 1960 N/m, is compressed 20 cm and then released. How far along the incline does it send the block? (Ans.= 4m)

A 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.) m

9 Spaceman Spiff lost his ship's altimeter during a freak meteor storm, but he needs to know when to deploy his retro rockets to insure a safe landing back on earth. Luckily, he has his trusty toy dart gun whose spring has a 110 N/m spring constant. He loads his 7.2 gram suction cup dart, compresses the spring 4.0 cm, takes vertical aim at the cabin ceiling, and shoots. The suction cup dart flies 1.47 meters above its initial spring-compressed position. What is Spiff's altitude above earth? a