Answer:
The magnitude of the force is F= 3072.9 N.
Explanation:
The expression for the power in terms of force and velocity is as follows;
P=Fv
Here, P is the power, F is the force and v is the velocity.
Rearrange the above expression to get the value of the force.
[tex]F=\frac{P}{v}[/tex]
Convert power from horsepower to watt.
P=75.0 hp
P= (75)(745.7) W
P= 55,927.5 W
Put P= 55,927.5 W and v= 18.2 meter per second in the above expression.
[tex]F=\frac{55,927.5}{18.2}[/tex]
F= 3072.9 N
Therefore, the magnitude of the force is F= 3072.9 N.