Answer:
If the same car moves at a speed of 100 kilometers/hour, its new kinetic energy will be 1600 Joules.
Explanation:
Kinetic energy is defined as energy of a body due to its motion.
[tex]K.E=\frac{1}{2}mv^2[/tex]
Where:
v = Velocity of the body in m/s.
m = Mass of the body
Given:
v = 50 km/h= [tex]\frac{50 \times 1000m}{3600 s}=13.8 m/s[/tex]
1 km = 1000 m
1 hour = 3600 seconds
Kinetic energy of the body,K.E = 400 Joules
Mass of the body = ?
[tex]400 J=\frac{1}{2}m(13.8)^2[/tex]
[tex]m=\frac{2\times 400 J}{(13.8 m/s^)2}=4.1465 kg[/tex]
If the same car moves at a speed of 100 kilometers/hour, then its kinetic energy will be K.E'
New velocity of the car = v'=100 km/h =
= [tex]\frac{100 \times 1000m}{36 s}=27.77 m/s[/tex]
[tex]K.E=\frac{1}{2}\times 4.1465 kg\times (27.77 m/s)^2=1 1600 joules[/tex]
If the same car moves at a speed of 100 kilometers/hour, its new kinetic energy will be 1600 Joules.
