Answer:
The ice melts mass is:
[tex]m_g=7.6x10^{-3} g[/tex]
Explanation:
Kinetic Energy
[tex]K_E = 1/2*m*v^2[/tex]
[tex]K_E = 1/2*0.5kg*(3.2m/s)^2[/tex]
[tex]K_E=2.56 kg*m^2/s^2[/tex]
Heat gained by ice= mass(g) x 80 cal
( 1 cal = 4.184 *10^7er or g cm^2/ sec^2)
Assuming no loss in heat, in the motion so both continue with temperature 0~C
To find so the mass (gm) of ice melted
[tex]m_g= 1/2 *(0.5*1000)*(3.2m/s)^2* 100*100 / (80*4.184*10^7)[/tex]
[tex]m_g=7.6x10^{-3} g[/tex]
Based on the conservation of heat energy, the mass of ice that melts is 0.0076 g
The energy generated by the hammerhead is in the form of kinetic energy.
The kinetic energy generated is calculated using the formula below:
[tex]K_E = \frac{1}{2} mv^{2}[/tex]
[tex]K_E = 1/2*0.5kg*(3.2m/s)^2[/tex]
[tex]K_E=2.56 J[/tex]
Heat gained by ice = mass x heat of fusion
1 cal = 4.184
80 cal = 334.72 J/g
Heat gained by ice = m × 334.72 J/g
Assuming no loss in heat;
Energy of hammerhead = energy used in melting uce
2.56 J = m × 334.72
m= 2.56/334.72
m = 0.0076 g
Therefore, mass of ice melted is 0.0076 g
Learn more about heat of fusion at: https://brainly.com/question/2426950
