Please show all steps leading into answer, thank you. 4. In the previous elephan

Question

Please show all steps leading into answer, thank you.

4. In the previous elephant-tiger-gopher tackle problem, much kinetic energy was lost due to the collision? a. 0j b. 206j c. 757j d. 2700j e. a 300-kg gopher? Really? 5. Two circus elephants, each of mass 1000 kg, take off from their perches with equal horizontal speeds of 1.5 rn/s (see figure). If the collision is perfectly elastic, calculate the kinetic energy of the system immediately after the collision. a. 0j b. 750j c. 1125j d. 1500j e. 2250j 3. A 200-kg elephant travelling at 3 m/s and a 150-kg tiger travelling at 4 m/s chase a lumbering 300-kg gopher travelling at 2 m/s. This time the elephant and the tiger catch the gopher, and all three fall to the ground together in a perfectly inelastic tackle. What is the velocity of the trio right after the collision? a. 0.00 m/s b. 0.92 m/s c. 1.85 m/s d. 2.77 m/s e. 3.43 m/s

Explanation / Answer

1.Perfect Inelastic collision

m1v1+m2v2+m3v3=MV

using this answer is d) 2.77 m/s

2.Loss of kinetic energy is

initial kinetic energy-Final Kinetic Energy

=> 0.5( m1v12+m2v22+m3v32)-0.5(MV2)

Using this we get b)206 J

3.Elastic collision:

There is no loss in kinetic energy

so the system's kinetic energy remains at the initial that is

0.5(m1v12+m2v22)

hence by using this we get e) 2250 J

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