3. Your teacher gives you a pop-up toy that has a mass of 0.15 kg. When you push down on it, it sticks to the desk for a moment and then pops into the air. (a) If you push the toy down 2.0 cm to make it stick to the desk, and the spring constant is known to be 5000 N/m, how much EPE does the toy have at this moment? [E-S-AJ (hint: displacement needs to be in meters for unit cancellation here). (b) Describe the cycle of energy conversions (choosing from EPE, GPE and KE) from the time the toy is stuck to the desk until it has jumped up to its maximum height. changes to which changes to (c) What is the maximum height the toy will be able to jump? [E-S-A round to the 0.01 m]

4. A 3kg block sits on a ramp, against a spring. I pull back on the block, compressing the string by 4cm, and the block moves 1.4m up the ramp, so that it is 0.5m higher than it was before, before it stops. If the force of kinetic friction on the block from the ramp is K = 7N, find the spring constant k. Ef = Ei 0.5m + 1.4m W

a spring bumper is used to bring a moving cart to rest. Suppose the cart has a mass of 100kg, and it's moving at a speed of 7m/s before it hits the spring. If the spring is compressed by 25cm, bringing the car to rest, what is the spring constant of the spring?

A 5.75-kg mass stretches a vertical spring 0.5 m. If the spring is stretched an additional 1 m and released, how long does it take to reach the (new) equilibrium position again? (How do I find the amount of time?)

6. An 80-kg person does a bungee-jump from a bridge 100m above a river, using a 30m long bungee cord. The bungee cord is effectively a spring with a spring constant of 40N/m. How far above the water's surface will the person be when the cord reaches its maximum extension?

A bungee cord is essentially a very long rubber bandthat can stretch up to four times its unstretched length.However, its spring constant varies over its stretch [seeMenz, P.G. “The Physics of Bungee Jumping.” The PhysicsTeacher (November 1993) 31: 483-487]. Take the length ofthe cord to be along the x-direction and define the stretchx as the length of the cord l minus its un-stretched lengthl0; that is, x = l − l0 (see below). Suppose a particularbungee cord has a spring constant, for 0 ≤ x ≤ 4.88 m , ofk1 = 204 N/m and for 4.88 m ≤ x , of k2 = 111 N/m.(Recall that the spring constant is the slope of the forceF(x) versus its stretch x.) (a) What is the tension in thecord when the stretch is 16.7 m (the maximum desired for agiven jump)? (b) How much work must be done against theelastic force of the bungee cord to stretch it 16.7 m?

Please answer in 15 mins /ASAP

2. A stone is at rest on a spring, compressing the spring by 10.0 cm. The stone is pushed down a further 30.0 cm and released. Determine the maximum height of the stone above its release point. [

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

How far does it drop before coming to rest? (Assume the spring is unlimited in how far it can stretch.)