The kinetic energy ratio of second object to the first object is 4 : 1
We need to know about kinetic energy to solve this problem. Kinetic energy depends on the mass of the object and the speed of the object. It can be defined as
KE = 1/2 . m .v²
where KE is kinetic energy, m is the mass of the object and v is the velocity.
From the question above, we know that:
m1 = 500 kg
m2 = 2000 kg
v1 = v2 = v
The kinetic energy of the first object is
KE1 = 1/2 . m1 .v²
KE1 = 1/2 . 500 . v²
KE1 = 250v²
The kinetic energy of the second object is
KE2 = 1/2 . m1 .v²
KE2 = 1/2 . 2000 . v²
KE2 = 1000v²
Hence, the ratio of KE2 to KE1 is
KE2 / KE1 = 1000v² / 250v²
KE2 / KE1 = 4 : 1
Find more on kinetic energy at: https://brainly.com/question/25959744
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