What force is must a jet's boat engine apply to accelerate the boat from 50 km/h to 100 km/h in 6.0 s? The mass of the boat is 800 kg and the coefficient of kinetic friction is 0.30.

I found acceleration by doing v2-v1 / t, but im not sure what to do next?

Acceleration, a

= (100-50)/6 km/hr/s
= 50/3.6/6 m/s/s
=2.31 m/s²
mass = 800 kg
frictional force
= μk*N
= μk*mg
= 2352 N
force required to provide required acceleration
= ma
= 800*2.31 N
The required force is the sum of the frictional resistance and force required to provide acceleration.

To find the force required to accelerate the boat, you can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

You have already found the acceleration using the formula (v2 - v1) / t, which is correct. Let's assume that the initial velocity, v1, is 50 km/h, and the final velocity, v2, is 100 km/h. Since these velocities are given in km/h, they need to be converted to m/s to maintain consistency with the units.

Converting km/h to m/s:
v1 = 50 km/h = (50 * 1000) / (60 * 60) m/s ≈ 13.89 m/s
v2 = 100 km/h = (100 * 1000) / (60 * 60) m/s ≈ 27.78 m/s

Now, substitute the values into the formula:
a = (v2 - v1) / t
= (27.78 m/s - 13.89 m/s) / 6.0 s
≈ 13.89 m/s / 6.0 s
≈ 2.315 m/s²

Now that you have the acceleration, you can calculate the net force using Newton's second law of motion:
Fnet = m * a
= 800 kg * 2.315 m/s²
≈ 1852 N

Therefore, the net force that the boat's engine must apply to accelerate the boat from 50 km/h to 100 km/h in 6.0 s is approximately 1852 Newtons.