Explanation:
Natural length of a spring is . The spring is streched by . The resultant energy of the spring is .
The potential energy of an ideal spring with spring constant and elongation is given by .
So, in the current problem, the natural length of the spring is not required to find the spring constant .
∴ The spring constant of the spring =
Answer: 4.03 m/s
Explanation: Kinetic energy is
KE = 1/2 m v²
So we derive the equation to have v.
v = √ 2KE / m
= 2 x 568 J / 70 kg
= 16.23
= √ 16.23
= 4.03 m/s
You cannot average the two speeds in conditions of equal distance. You need equal time..
Look at it this way: 15 m/s for 10 km would take 666.67 seconds.
25 m/s for another 10 km would take 400 seconds. Total time: 1066.67 seconds. Total distance 20 km. This average speed 20000 m/1066.67 seconds = 18.75 m/s.
If you had gone 15 m/s for the same *time* as going at 25 m/s, then you could have averaged the speeds directly.
To get a real feel for this, imagine going at 1 m/s for 10 km, and then going at the speed of flight for the other 10 km. The first part would take 10000 seconds (nearly 3 hours) and the second almost zero time. Would your average speed be half the speed of light?
Heat is an energy that is produced from something like the sun. Sound energy is when an object works to make sound. Light is when something gives off light by working. And potential energy is when an object is completely still but can be moved by another force