Question

a 4.0x 10^3 watt motor applies a force of 8.0 x 10^2 newtons to move a boat at constant speed. ow far does the boat move in 16 seconds

Answer 1

The boat will move a distance of 80 meters in 16 seconds.

Step-by-step explanation:

The boat will move a distance of 80 meters in 16 seconds. To calculate the distance the boat moves in 16 seconds, we need to use the equation:

Distance = Speed x Time

The speed of the boat can be calculated using the equation:

Power = Force x Speed

Therefore, the speed of the boat is:

Speed = Power / Force

Plug in the given values:

Speed = (4.0 x 10^3 W) / (8.0 x 10^2 N) = 5 m/s

To calculate the distance the boat moves in 16 seconds. Now we can calculate the distance:

Distance = Speed x Time = 5 m/s x 16 s = 80 meters

Answer 2

80 m

Step-by-step explanation:

From the question,

Power(P) = Force(F) × Velocity (V)

P = FV..................... Equation 1

V = P/F.................... Equation 2

Given: P = 4.0×10³ W, F = 8.0×10² N.

Substitute into equation 2

V = 4.0×10³/(8.0×10²)

V = 5 m/s.

Applying,

S = Vt............................ Equation 3

Where S = distance move by the boat, t = time.

Given: t = 16 s, V = 5 m/s

Substitute into equation 3

s = 16(5)

s = 80 m.

Hence the distance moved by the boat is 80 m