Finding power without given speed or time

[J51mustang]

Homework Statement

The lawn tractor in figure 18 goes up a hill at a constant velocity. Calculate the power that is developed by the tractor.
Mass: 120.0 kg
Angle of incline: 21 degrees
Distance: 12.0 m
Velocity: no velocity given other than it is constant
Time: idk

Homework Equations

None really

Just note that I used 9.8ms^-2 for acceleration due to gravity, NO value for velocity was given, and no time value was given.

The Attempt at a Solution

So I calculated the force in the direction of down the slop (by using mgsin21) and got a force of 421.4N, which means, since the acceleration in the dimension of the slope is 0ms^-2, that the net force is zero, meaning that the motor produces 421.4N of force. Now from here I’m stuck, as no value for velocity is given other than that it’s constant, and idk how to calculate time without velocity so that I could calculate power. Pls help.

 

[haruspex]

Mass: 120.0 kg
Angle of incline: 21 degrees
Distance: 12.0 m
Constant velocity

If that is all you are given then there is clearly not enough information. Make very sure there is no information you have overlooked. Some detail in the figure, perhaps?

 

[gneill]

Hi J51mustang,

Welcome to Physics Forums!

Since no velocity is given it looks like you'll have to provide a symbolic answer rather than a particular numerical result...