B) Show that Maxwell’s equations, when applied in a vacuum (i. e. no chargedensity or current density), give thewave equationsfor light:μ00∂2~E∂t2−∇2~E= 0;μ00∂2~B∂t2−∇2~B= 0(5)You need to show your work for full credit. Hint: take the curl of the righttwo equations in Eq. 1 and use the identity:∇×(∇×~F) =∇(∇·~F)−∇2~F(6)where∇2~Fis thevector Laplacian, whose components are the Laplacian ofthe individual components of~F. You will also need to use the fact that theordering of two derivatives can be interchanged.

Awater balloon launcher uses an elastic band with a spring constant of 115 n/m to use thee launcher you stretch thee band back with a balloon n it the water balloons have a mass of 1.3 kg a) if you stretch the band by 0.8 m, what elastic force will the band exert? b) with the band stretched 0.8 m, how much elastic potential energy is stored in the spring? c) if you release the band, it pushes forward. what is the kinetic energy of the balloon when it reaches the natural length of the band? d) what is the speed of the balloon when it reaches the natural length of the band?