A toy boat of mass 1.0 kg is pulled by a child using a string at an angle of 45 o to the surface of the water with a constant force of 2.0 N. The boat accelerates constantly from rest to 0.20 m/s in 0.50 s. What is the force of resistance in the water?

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Physics

13 November, 05:25

A toy boat of mass 1.0 kg is pulled by a child using a string at an angle of 45 o to the surface of the water with a constant force of 2.0 N. The boat accelerates constantly from rest to 0.20 m/s in 0.50 s. What is the force of resistance in the water?

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Jessica Davies · Answer 1

Refer to the diagram shown below.

m = 1.0 kg

Let R = resistive force of the water.

The boat accelerates from rest to 0.20 m/s in 0.50 s. Its acceleration is

a = (0.20 m/s) / (0.50 s) = 0.40 m/s²

The driving force on the boat is Fcos (45°) - R. Therefore

(2cos (45°) - R N) = (1 k) * (0.4 m/s²)

1.4142 - R = 0.4

R = 1.0142 N

Answer: The resistive force of the water is 1.0 N (nearest tenth)