Answer:
the kinetic energy of A will be twice that of B
Explanation:
The formula for calculating kinetic energy is expressed using the formula
KE = 1/2mv²
m is the mass of the object
v is the velocity
For object A:
KEA = 1/2mAvA²
For object B:
KEB = 1/2mBvB² ... 1
If object A is twice the mass of object B, then mA = 2mB
From 1:
KEA = 1/2mAvA²
Substitute mA = 2mB
KEA = 1/2(2mB)vA² .... 2
Divide 1 by 2
KEB/KEA = 1/2mBvB²/mBvA²
KEB/KEA = 1/2vB²/vA²
Assuming they have the same velocities then vA ,= VB
The equation becomes:
KEB/KEA = 1/2vB²/vA²
KEB/KEA = 1/2vB²/vB²
KEB/KEA = 1/2
KEA = 2EB
Hence the kinetic energy of A will be twice that of B
