A spring 15 cm long extends 0.5 cm when a mass of 3 kg is hung from it. Suppose you made an similar spring of the same material, but twice as long. How much would it extend with the same mass?

Plot a graph of Displacement of 2 springs in a series (x axis) and force from gravity (y axis) and measure the slope. Plot a graph of Displacement of 2 springs in parallel (x axis) and force from gravity (y axis) and measure the slope.

A 0.19 kg mass is held at rest against a compressed spring with a spring constant of 103 N/m. When released, the mass leaves the spring with a speed of 6.28 m/s. Assuming that the spring force is wholly responsible for changing the motion of the mass, by what distance was the spring initially compressed from its equilibrium position? Enter a number with 3 decimal places

If a force of 33.6 N is applied to a spring, with a spring constant of 138.2 N/m, how far will it stretch ( in meters)?

A 31 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 8,700 N/m. (a) By how much would the spring be compressed by the child if she simply balanced herself vertically on the pedals of the stick? (Give your answer in cm.)  cm (b) How much energy (in J) is stored in the spring under this circumstance?  J

If a force of 20N is applied to the same spring and the total length of the spring is 200mm, what is the length of the relaxed spring with no force applied? (in units of m)

An ideal spring hangs vertically. When a 359- g object is hung from the bottom end, and lowered gently, the spring stretches 6.23cm. How much would the spring have stretched, in cm, if the mass of the object had been 601 g instead ?

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-A] (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]

A 0.15 kg ball is dropped. How fast will it be moving after it has fallen 1.5 meters? (Note – there is no spring or similar material in this problem.) What equation will be best for calculating this value? Your answer: o mgh,=글kx? o mgh,=글my? o 글씨=mghy

To measure the spring constant of a certain spring, a student put a mass of 700 g at the bottom of the spring, and the spring stretches by 35.0 cm. What is the spring constant?