Answer:

Explanation:
From the question we are told that
Nucleus diameter 
a 12C nucleus
Required kinetic energy 
Generally initial speed of proton must be determined,applying the law of conservation of energy we have

where
=initial kinetic energy
=final kinetic energy
=initial electric potential
=final electric potential
mathematically

where
=distance b/w charges
=nucleus charge 
=constant
=proton charge
Generally kinetic energy is know as

Therefore
Generally equation for radius is 
Mathematically solving for radius of nucleus


Generally we can easily solving mathematically substitute into v_1









Therefore the proton must be fired out with a speed of 
Answer:
A waffle iron heated by coils
Explanation:
A waffle iron heated by coils - conduction
Food heated in a microwave oven - radiation
Pavement heated by the sun - radiation
A room heated by moving air - convection
Answer:
Explanation:
General Equation of SHM is given by


where x=position of particle
A=maximum Amplitude
angular frequency
t=time
At any time Total Energy is the sum of kinetic Energy and Elastic potential Energy i.e. 
where k=spring constant
Potential Energy is given by 
also it is given that Potential Energy(U) is equal to Kinetic Energy(K)
Total Energy
Total


at 
velocity is