A Red Rider bb gun uses the energy in a compressed spring to provide the kinetic energy for propelling a small pellet of mass 0.27 grams. By cocking the lever attached to the stock of the rifle, the spring (k = 1800 N/m) is compressed 8.5 cm from its equilibrium point. Required:
a. What is the potential energy energy stored in the compressed spring?
b. What is the kinetic energy of the pellet when the spring is released?

a.6.5025 J

b.6.5025 J

Explanation:

We are given that

Mass of pellet,m=0.27 g=

1 kg=1000 g

Spring constant,k=1800 N/m

x=8.5 cm=

1m=100 cm

a.Potential energy stored in the compressed spring  is given by

P.E=

b.By using law of conservation of energy

P.E of spring=K.E of the pellet

K.E of the pellet=6.5025 J

scientific laws are the result of testing theories and proving them to be facts.

you'd use the equation that establishes a relationship between  energy  and  wavelength, which looks like this

e=h⋅cλ, where

λ  - the wavelength of the photon; c  - the speed of light, usually given as  3⋅108m/s; h  -  planck's constant, equal to  6.626⋅10−34j s

plug the value you were given for the energy of the photon in the above equation to get the wavelength

e=h⋅cλ⇒λ=h⋅ce

λ=6.626⋅10−34js⋅3⋅108ms−1.257⋅10−24j=1.581⋅10−1m