Physics Homework Help: Calculating Frictional Force and Tension on a Slope

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SUMMARY

The discussion focuses on calculating the frictional force and normal reaction acting on a 1.5 kg object on a slope at a 30-degree angle, using a gravitational field strength of 9.8 N/kg. The normal force was calculated to be 1.3 N, and participants emphasized that static friction is determined by multiplying the coefficient of friction by the normal force. Additionally, the second problem involves two tugboats pulling a ship with a drag force of 220 kN, requiring the calculation of tension T at an angle of 28 degrees to maintain constant velocity.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static and kinetic friction concepts
  • Ability to resolve forces into components
  • Familiarity with trigonometric functions related to angles
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  • Study the calculation of frictional forces in physics problems
  • Learn about the components of forces on inclined planes
  • Explore the concept of tension in systems with multiple forces
  • Review static equilibrium conditions in physics
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Students studying physics, particularly those tackling problems related to forces, friction, and tension in inclined planes and multi-force systems.

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frictional force! help!

Hi There,
I'm having trouble with these physics question in my homework:

1. An object of mass 1.5kg rests on a slope making an angle of 30 degrees, with the horizantal calculate:

a) the frictional force and
b) the normal reaction acting on the object. Gravitational field strengh = 9.8N/kg

2. Two tug boats pull a ship so that it moves with a constant velocity. Each of the tugs produces a tension T at an angle of 28 degrees to the direction the ship is moving. The drag on the ship is 220kN. Calculate T.

I would be really grateful if you go could help me with this, its driving me nuts...oh and by the way with question 1, I worked out the normal force, which I think is what I had to do :confused: and got 1.3N (1dp)...after that I got stuck..especially with the whole coefficient friction
 
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Okay we'll start with question 1.
What do we know about the normal reaction force?
Well, it's a normal force, which means that it acts at a right angle to the plane it's resting on (the force pushing on the mass).

You know that gravity acts straight down. So you just need to calculate the component of weight (mg) that is perpendicular to the plane.

That sums up b)

For a):

The question states that the object is at rest. This implies that the net force must be zero (and so is initial velocity). Static friction (and kinetic friction) is measured by multiplying a coeffiecient of the friction by the normal reaction force.
Sum up all of the forces acting on the box and let them equal zero (sum up each dimension individually), the only variable you do not have is friction.
 

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