A boat weighing 9.0 × 10

2
newtons requires a
horizontal force of 6.0 × 10
2
newtons to move it
across the water at 1.5 × 10
1
meters per second.
The boat’s engine must provide energy at the rate of

To calculate the energy provided by the boat's engine, we can use the formula:

Energy = Force x Distance

In this case, the force required to move the boat across the water is given as 6.0 × 10^2 newtons, and the distance traveled in one second is given as 1.5 × 10^1 meters.

To calculate the energy provided per second, we can substitute the given values into the formula:

Energy = (6.0 × 10^2 newtons) x (1.5 × 10^1 meters)

To simplify this calculation, we can use the rule of exponents: when multiplying numbers with the same base, we add the exponents.

6.0 × 10^2 x 1.5 × 10^1 = (6.0 x 1.5) × (10^2 x 10^1) = 9.0 × 10^2 × 10^1

To multiply the numbers, we multiply the coefficients (6.0 × 1.5 = 9.0) and add the exponents (2 + 1 = 3):

9.0 × 10^2 × 10^1 = 9.0 × 10^3

Therefore, the boat’s engine must provide energy at the rate of 9.0 × 10^3 joules per second.