Question

The linear momentum is increased by 50% ,then the kinetic energy will increase by
a. 100 %
b. 50%
c. 1 25%
d. 25%

Answer 1

Answer:

125%.

Explanation:

Kinetic energy K and linear momentum P are related as

K=P22m………(1)  

The new momentum is P+50% 0f P =(3/2)P.

If the new kinetic energy is K’ then

K′=(3/2)P22m=94p22m………(2)  

Divide equation (2) by Equation (1) to get

K′=(9/4)K  

Now the % change in K is

K′−KK100=(9/4)K−KK100=  125%