Final answer:
The mass of the boat is 1200 kg, calculated using the kinetic energy equation KE = 0.5 × mass × speed2 with the given kinetic energy of 15000 J and speed of 5 m/s.
Step-by-step explanation:
To find the mass of the boat, we need to use the equation for kinetic energy (KE), which is KE = 0.5 × mass × speed2. The kinetic energy of the boat is given as 15000 J, and the speed of the boat is 5 m/s. Plugging these values into the equation, we have 15000 J = 0.5 × mass × (5 m/s)2.
Now, we can solve for the mass of the boat:
15000 J = 0.5 × mass × 25 m2/s2
Mass = (15000 J) / (0.5 × 25 m2/s2)
Mass = 15000 J / 12.5 kg · m2/s2
Mass = 1200 kg
Therefore, the mass of the boat is 1200 kg.