Gravity Equation: Prob 3. Solving Force in Inclined Plane

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SUMMARY

The discussion focuses on solving for the force required to push a block of mass 20.0 kg up a rough inclined plane at an angle of 37 degrees with a constant speed of 2.5 m/s. The coefficient of kinetic friction is 0.25, leading to the calculation of the force F as 160 N. The participants clarify the components of gravitational force acting on the block, specifically the parallel component represented by 200sin37, which is essential for understanding the dynamics of the inclined plane.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of forces on inclined planes
  • Familiarity with friction coefficients
  • Basic trigonometry for resolving forces
NEXT STEPS
  • Study the concept of gravitational potential energy in inclined planes
  • Learn about the effects of friction on motion in physics
  • Explore the application of free-body diagrams in solving force problems
  • Investigate the relationship between mass, weight, and acceleration due to gravity
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators looking for examples of force calculations in real-world scenarios.

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Homework Statement



Prob. 3. A block of mass M = 20.0 kg is pushed up a rough inclined plane 37o to the horizontal by a constant force F parallel to the incline as shown. The co-efficient of kinetic friction between the block and the incline is µ = 0.25, and the block is moving up with a constant speed of 2.5 m/s between A and B.

Homework Equations





The Attempt at a Solution



What is the magnitude of F ?
F = 0.25*200cos37 + 200sin37 = 160N
Can you explain the 200sin37 part. Is that gravity can you break it apart
also
gravitational force ? Wg = - 20*200sin37 = - 2400J :
i thought it would be 20*10*20sin37
is gravity force g*m*d where d is the hypotenuse or is the vertical side of the right triangle?

thanks
 
Physics news on Phys.org
You're thinking about gravitational potential energy. 200sin37 is the component of gravity parallel to the ramp.
 
what about the gravitation force?
- 20*200sin37

is that parallel to the ramp as well?
 

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