Question

The engine of a boat (m = 1580 kg) exerts a
2200 N force northward, while the current
pushes it 1350 N eastward.
In what direction does the boat accelerate?

Answer 1

Answer:

58.5

Explanation: no clue on how to do it but i just got that answer on my accelus✨

Answer 2

Answer:

58.5 degrees

Explanation:

F1ₓ = 0; F1ᵧ = 2200

F2ₓ = 1350; F2ᵧ = 0

ΣFₓ = maₓ

aₓ = ΣFₓ / m

1350 / 1580

aₓ = 0.854 m/s^2

ΣFᵧ = maᵧ

aᵧ = ΣFᵧ / m

2200 / 1580

aᵧ = 1.39 m/s^2

direction = tan^-1 (aᵧ/aₓ)

tan^-1 = (1.39 / 0.854)

direction = 58.5 degrees