Catapulting mushrooms. Certain mushrooms launch their spores by a catapult mechanism. As water condenses from the air onto a spore that is attached to the mushroom, a drop grows on one side of the spore and a film grows on the other side.The spore is bent over by the drop’s weight, but when the film reaches the drop, the drop’s water suddenly spreads into the film and the spore springs upward so rapidly that it is slung off into the air. Typically, the spore reaches a speed of 1.6 m/s in a 5.0 mm launch; its speed is then reduced to zero in 1.0 mm by the air. Using those data and assuming constant accelerations, find the acceleration in terms of g during (a) the launch and (b) the speed reduction.

A cube of mass m = 0.16 kg is set against a spring with a spring constant of k1 = 599 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 252 N/m. The cube is not connected to the first spring and may slide freely. a.) How far, d2, in meters, will the second spring compress when the cube runs into it? b.) How fast, v2 in meters per second, will the cube be moving when it strikes the second spring? c.) Now assume that the surface is rough (that is not frictionless). You perform the experiment and observe that the second spring only compress a distance d2/2. How much energy in Joules was lost to friction?

The final set of this lab has you hanging an unknown mass on a spring (for which you have determined the spring constant, k). If you find the spring constant k = 24.0 N/m, what is the mass of an unknown object if it displaces the spring 4.40 cm? Give your answer in GRAMS to 3 significant figures

A 2.5 kg ball is launched into projectile motion by a slanted spring. The spring is compressed  by 28cm, has a spring constant of 1200 N/m, and is slanted at a 42˚ angle. The ball leaves  the spring at ground level.    a) Determine the velocity at the moment the ball leaves the spring.   b) Determine the maximum height above the ground reached by the ball.   c) Determine how far horizontally the ball travels before coming back down to the ground.

#69, bottom question...please help!

What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest after moving to the left?

T4

An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden block (M = 850 g) is attached to the bottom of the spring, and a ball of clay (m = 210 g) is pressed onto the bottom of the block so that they stick together. The block+clay are gently lowered through a distance of d = 2.7 cm and are then released, at which point they hang motionlessly from the bottom of the spring. After a few minutes have passed, the clay unsticks itself from the block and falls from rest to the ground. 1. What is the resulting period T of the block’s oscillation after the separation occurs? 2. As d approaches 0, what limit does T approach?

How do you measure the mass of an astronaut in orbit? (You can't just use a scale!) For the 1973 - 1979 Skylab program (Skylab was a space station that predated the current International Space Station), NASA engineers designed a Body Mass Measuring Device (BMMD). This is essentially a chair of mass m mounted on a spring with a carefully measured spring constant ks = 605.6 N/m. (The other end of the spring is connected to the Skylab itself, which has a mass much larger than the astronaut or the chair, and so remains essentially fixed as the astronaut oscillates.) The period of oscillation of the empty chair is measured to be 0.90149 s. When an astronaut is sitting in the chair, the period is 2.12151 s. What is the astronaut's mass? Please describe your reasoning!

Design a "bungee jump" apparatus for adults. A bungee jumper falls from a high platform with two elastic cords tied to the ankles. The jumper falls freely for a while, with the cords slack. Then the jumper falls an additional distance with the cords increasingly tense. Assume that you have cords that are 8 m long, and that the cords stretch in the jump an additional 22 m for a jumper whose mass is 100 kg, the heaviest adult you will allow to use your bungee jump (heavier customers would hit the ground). (a) It will help you a great deal in your analysis to make a series of 5 simple diagrams, like comic strip, showing the platform, the jumper, and the two cords at the following times in the fall and the rebound: 1 while cords are slack (shown here as an example to get you started) 2 when the two cords are just starting to stretch 3 when the two cords are half stretched 4 when the two cords are fully stretched 5 when the two cords are again half stretched, on the way up On each diagram,…