Objects A and B have the same mass of $4\mathrm{.}8$ kg and are at their melting points. They melt when $3\mathrm{.}5104$J of heat is added to A and when $9\mathrm{.}2104$ J is added to B$.($a$),($b$)$ Determine the latent heat of fusion for the substance from which each object is made. $($c$)$ Fin the heat required to melt object A when its mass is $9\mathrm{.}6$ kg$.$