If a boat and its riders have a mass of 1100 kg and the boat drifts in at 1.6 m/s how much work does Sam do to stop it

1408 J.

Explanation:

From the question given above, the following data were obtained:

Combined mass (m) = 1100 kg

Velocity (v) = 1.6 m/s

Workdone =?

Next, we shall determine the kinetic energy of boat. This can be obtained as follow:

Combined mass (m) = 1100 kg

Velocity (v) = 1.6 m/s

Kinetic energy (K.E) =?

K.E = ½mv²

K.E = ½ × 1100 × 1.6²

K.E = 550 × 2.56

K.E = 1408 J

Thus the kinetic energy of the boat is 1408 J.

Since the boat is moving with a kinetic energy of 1408 J, it will take an equivalent amount of energy to stop the boat. Hence, the Workdone to stop the boat is 1408 J.

conservation of mass

mass before something happens = mass afterwards