Date: A body has a mass m and velocity v , if the mass is increased to 4 times and velocity is decreased to 2 times calculate the ratio of kinetic energy

Explanation:

Mass = m

Velocity = v

If Mass is increased 4 times = 4m

New velocity = 2v

Kinetic Energy

So it will be 1/2 × 4m × 2v × 2v

so Kinetic Energy will increase 4 times

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west