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The knot is a unit of speed equal to 1.852 km/hour.A boat travels 100 metres in 7 seconds. How many knots is this?Give your answer to two significant figures.

Question

The knot is a unit of speed equal to 1.852 km/hour.A boat travels 100 metres in 7 seconds. How many knots is this?Give your answer to two significant figures.

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Solution

First, we need to convert the boat's speed from meters per second to kilometers per hour.

The boat travels 100 meters in 7 seconds, so its speed is 100 meters / 7 seconds = 14.29 meters per second.

There are 3,600 seconds in an hour and 1,000 meters in a kilometer, so to convert from meters per second to kilometers per hour, we multiply by 3.6 (since 3,600/1,000 = 3.6).

So, the boat's speed in kilometers per hour is 14.29 meters per second * 3.6 = 51.44 km/hour.

Next, we need to convert this speed to knots. 1 knot is equal to 1.852 km/hour, so to convert from km/hour to knots, we divide by 1.852.

So, the boat's speed in knots is 51.44 km/hour / 1.852 = 27.77 knots.

So, the boat's speed is approximately 28 knots to two significant figures.

This problem has been solved

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