How Much Force Must a Tractor Exert to Pull a Sled Up a Hill with Friction?

Click For Summary
SUMMARY

The discussion focuses on calculating the minimum force a tractor must exert to pull a 5000 kg sled up a hill with a 30° grade and a frictional force of 10,000 N. To determine this force, participants recommend drawing a free body diagram to resolve gravitational forces along axes parallel and perpendicular to the slope. The gravitational force acting on the sled must be countered by both the frictional force and the force exerted by the tractor to maintain constant velocity.

PREREQUISITES
  • Understanding of free body diagrams
  • Knowledge of gravitational force calculations
  • Familiarity with frictional force concepts
  • Basic principles of Newton's laws of motion
NEXT STEPS
  • Study the calculation of gravitational force on inclined planes
  • Learn about resolving forces in physics
  • Explore the impact of friction on motion
  • Investigate applications of Newton's laws in real-world scenarios
USEFUL FOR

Students studying physics, engineers involved in mechanical design, and anyone interested in understanding the dynamics of forces on inclined surfaces.

Richard1864
Messages
1
Reaction score
0
A tractor pulls a 5000kg asked up a hill at a constant velocity. If the hill had a constant grade of 30° with respect to the horizontal and there is a 10,000 N frictional force between the sled and the ground, what is the minimum force the tractor must exert on the sled?

I think I'm supposed to tilt the axis. The Friction is already given so how do I find the force required?
 
Physics news on Phys.org
Draw a freebody diagram, resolving gravity along a set of coordinate axis parallel and perpendicular the the slope. This will give you the the force along the slope due to gravity, which needs to be counteracted by friction.
 

Similar threads

Acceleration = (Force of boy on sled - Force of friction)/Mass of sled
  • · Replies 3 ·
Replies
3
Views
2K
Inclined plane problem strange result
  • · Replies 3 ·
Replies
3
Views
6K
Sledding Down a Hill - Speed Calculation
  • · Replies 5 ·
Replies
5
Views
3K
Why is the velocity at the cusp point equal to the final velocity on the hill?
  • · Replies 10 ·
Replies
10
Views
2K
Calculating Acceleration of a Sled on an Incline with a Pulling Dog
  • · Replies 4 ·
Replies
4
Views
2K
What is the coefficient of friction in a child pulling a sled up an incline?
  • · Replies 3 ·
Replies
3
Views
2K
Size of the friction force felt?
  • · Replies 4 ·
Replies
4
Views
2K
Sledding Down a Hill: Calculating Friction and Velocity
  • · Replies 31 ·
2
Replies
31
Views
4K
Friction of a sliding box on a slope
  • · Replies 11 ·
Replies
11
Views
2K
Work and Kinetic Energy of a Sled
  • · Replies 4 ·
Replies
4
Views
5K