The change in momentum of a colliding object is the same whether the surface is padded or not?

During a collision with an immovable object, the change in momentum of a colliding object is the same whether the surface is padded or not. Why does less damage occur if the surface is padded?The change in momentum of a colliding object is the same whether the surface is padded or not?
Such surfaces absorb energy by getting deformed (though they may regain some of the deformation later). Hence the collision does not remain strictly elastic, hence momentum (m*v) decreases as the total energy (1/2 mv^2) has decreased, resulting in lessor damages..The change in momentum of a colliding object is the same whether the surface is padded or not?
F x delta t = m x delta v


=%26gt;if m x delta v is constant in both the conditions,then:-


=%26gt;F x delta t = constant


=%26gt;in padded:- delta t is more thus F is less


=%26gt;in unpadded:- delta t is less thus F is more


Then in padded condition P = F/A will be less = less damage

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