The total kinetic energy lost in the collision is 2085 J.
To determine the total kinetic energy lost in the collision, we need to calculate the initial kinetic energy of both the shark and the tuna, and then subtract the final kinetic energy of the combined system.
Initial kinetic energy of the shark:
KE_shark = (1/2) * m_shark * v_shark^2
where:
m_shark is the mass of the shark (230 kg)
v_shark is the velocity of the shark (9 m/s)
KE_shark = (1/2) * 230 kg * (9 m/s)^2 = 9315 J
Initial kinetic energy of the tuna:
KE_tuna = (1/2) * m_tuna * v_tuna^2
where:
m_tuna is the mass of the tuna (60 kg)
v_tuna is the velocity of the tuna (-4 m/s) (negative sign indicates opposite direction)
KE_tuna = (1/2) * 60 kg * (-4 m/s)^2 = 480 J
Total initial kinetic energy:
KE_initial = KE_shark + KE_tuna = 9315 J + 480 J = 9795 J
Final kinetic energy of the combined system:
Since the shark swallows the tuna, the final velocity of the combined system is equal to the initial velocity of the shark.
KE_final = (1/2) * (m_shark + m_tuna) * v_shark^2
KE_final = (1/2) * (230 kg + 60 kg) * (9 m/s)^2 = 11880 J
Total kinetic energy lost:
KE_lost = KE_initial - KE_final = 9795 J - 11880 J = -2085 J
The negative sign indicates that kinetic energy was converted into other forms of energy, such as heat or sound, during the collision.
Question
a shark (mass 230 kg) is swimming to the right wiht a speed of 9m/s. a tuna (mass of 60 kg) is swimming towards the shark with a speed of 4m/s. the shark swallows the tuna. how much total kinetic energy is lost in this collision ?