A boy on a 2.2 kg skateboard initially at rest tosses a(n) 8.4 kg jug of water in the forward direction.

If the jug has a speed of 3.0 m/s relative to the ground and the boy and skateboard move in the opposite direction at 0.60 m/s, find the boy’s mass.
Answer in units of kg

SOMEONE HELP ME PLEASE

To solve this problem, we can use the principle of conservation of momentum. The total momentum before the jug is thrown should be equal to the total momentum after the jug is thrown.

The momentum of an object can be calculated by multiplying its mass by its velocity. The momentum of the boy-skateboard system before the jug is thrown is given by:

Initial momentum = (mass of the boy + mass of the skateboard) * velocity of the boy-skateboard system

The momentum of the jug can be calculated as:

Momentum of the jug = mass of the jug * velocity of the jug

After the jug is thrown, the boy and the skateboard continue to move in the opposite direction with a new velocity. Let's call this new velocity V.

Final momentum = (mass of the boy + mass of the skateboard) * velocity of the boy-skateboard system after the jug is thrown

Since momentum is conserved, we can set the initial momentum equal to the final momentum:

Initial momentum = Final momentum

(mass of the boy + mass of the skateboard) * velocity of the boy-skateboard system = (mass of the boy + mass of the skateboard) * V

Now, we can substitute the given values into the equation:

(2.2 kg + mass of the boy) * (-0.60 m/s) = (2.2 kg + mass of the boy) * V

Next, we can use the fact that the jug has a speed of 3.0 m/s relative to the ground. Since the boy and the skateboard move in the opposite direction at 0.60 m/s, the velocity of the boy-skateboard system after the jug is thrown can be calculated as:

Velocity of the boy-skateboard system after the jug is thrown = 3.0 m/s - 0.60 m/s = 2.4 m/s

Now, we can substitute this value into the equation:

(2.2 kg + mass of the boy) * (-0.60 m/s) = (2.2 kg + mass of the boy) * 2.4 m/s

Simplifying the equation:

-0.6 * (2.2 kg + mass of the boy) = 2.4 * (2.2 kg + mass of the boy)

Now, we can solve for the mass of the boy. Let's multiply both sides of the equation by -1 to make it easier to solve:

0.6 * (2.2 kg + mass of the boy) = 2.4 * (2.2 kg + mass of the boy)

1.32 kg + 0.6 * mass of the boy = 5.28 kg + 2.4 * mass of the boy

Now, we can simplify and solve for the mass of the boy:

1.32 kg = 5.28 kg + 2.4 * mass of the boy - 0.6 * mass of the boy

1.32 kg = 5.28 kg + 1.8 * mass of the boy

Subtracting 5.28 kg from both sides:

1.32 kg - 5.28 kg = 5.28 kg + 1.8 * mass of the boy - 5.28 kg

-3.96 kg = 1.8 * mass of the boy

Finally, we can solve for the mass of the boy by dividing both sides by 1.8:

mass of the boy = -3.96 kg / 1.8

mass of the boy ≈ - 2.2 kg

Since mass cannot be negative, there seems to be an error in the problem statement or the calculations. Please check the given information and reassess the problem.