Question

if the kinetic energy of a body increases by 300% by what will be the linear momentum of a body increases

Answer 1

The momentum increases by 100 %.

Let initial kinetic energy be K and momentum be p.

K=½mv2 (Equation 1)

If K increases by 300 %, it increases by a factor of 300%100%=3.

So the new kinetic energy is

K'=K+3K=4K

From Equation 1: v=√2Km

The initial momentum p=mv=m×√2Km=√m2×2Km=√2Km

The new momentum p'=√2K'm

So p'p=√2K'm2Km

p'p=√K'K

p'p=√4KK

p'p=2

p'=2p

% change = p'–pp×100%=2p–pp×100%=100%

% increase in momentum = 100%