Force up inclinded hill question

[usagi101]

Homework Statement

a 100 kg trollley is being pushed up a rough 30degree incline by a constant force, F. the frictional force Ft between the incline and the trolley is 110N. determine the value of F that will move the trolley up the incline at a constant velocity of 5ms^1?

thanks my 1st time on this forum.

Homework Equations

The Attempt at a Solution

 

[Topher925]

Welcome to the forum.

Its good practice to at least post an attempted solution. We are here to help you with your homework not do it for you. To get you started, sum the forces in the X and Y directions and sum them to mass x acceleration.

 

[baba89]

To determine the value of F, we first need to understand the forces acting on the trolley. In this scenario, there are two main forces: the applied force F and the frictional force Ft. The applied force is the force that is pushing the trolley up the incline, while the frictional force is the force that is resisting the motion of the trolley.

We can use the equation Fnet = ma to analyze the forces acting on the trolley. Since we want the trolley to move at a constant velocity, the net force on the trolley must be zero. This means that the applied force and the frictional force must be equal in magnitude, but opposite in direction.

Therefore, we can set up the following equation:

F - Ft = 0

Substituting in the given values, we get:

F - 110N = 0

Solving for F, we get:

F = 110N

Therefore, to move the trolley up the incline at a constant velocity of 5ms^1, the applied force must be 110N.

It is important to note that this value of F is only applicable for a 100 kg trolley on a 30 degree incline with a frictional force of 110N. If any of these variables were to change, the value of F would also change. This is the beauty of science - it allows us to use mathematical equations to understand and predict the behavior of objects in different scenarios.