anika, a 2.0 kg falcon, is moving with an initial velocity of 15 m/s in the x-direction. she collides with betty, a 4.0 kg falcon, initially moving at 7.0 m/s in the x-direction. after the collision, the two birds stick together and move as one.

Respuesta :

The change in kinetic energy of the system is 160.89 Joules

What is kinetic energy?

Kinetic energy is a from of energy that an particle has has by reason we must apply a force. We know that Kinetic energy is the energy due to the velocity of spoed of the moving object.

It is given that,mA = 2kg

Mass of object A,= 15 m/s

Initial speed of object A,

Mass of object B, =5kb

Initial speed of object A,  (at rest)= 0

Le V is the final speed when they lock and move with one common velocity. Using the conservation of momentum to find it.

V= 2×15/(2+5)

V=4.28

V = 4.28 m/s

Initial kinetic energy of the system is :the change in kinetic energy of the system is 160.89 Joules

Ki= 1/2 ×2×(15)^2

Ki=225j

Final kinetic energy of the system is :

Kf= 1/2(ma+mb)^V2

Kf= 1/2 ×(2+5)×(4.28)^2

Kf=225 j

Kf=64.11 j

Let  is the change in kinetic energy of the system after the collision. It is given by :

∆K=∆k-∆i

∆K=64.11-225

∆K=-160.89 J

So, the change in kinetic energy of the system is 160.89 Joules.

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