What is the velocity of the brick when it strikes the gutter?

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SUMMARY

The problem involves calculating the velocity of a 0.75 kg brick sliding down a 30-degree inclined roof, covering a distance of 2.5 meters with a coefficient of friction of 0.3. The correct final velocity when the brick strikes the gutter is 3.43 m/s. The user initially calculated a velocity of 1.45 m/s but later confirmed the correct answer after further analysis. The relevant equation used for this calculation is v² = u² + 2as.

PREREQUISITES
  • Understanding of kinematics, specifically the equation v² = u² + 2as
  • Knowledge of forces acting on an object on an incline
  • Familiarity with the concept of friction and its coefficient
  • Basic algebra for solving equations
NEXT STEPS
  • Review the derivation of the kinematic equation v² = u² + 2as
  • Study the effects of friction on motion on inclined planes
  • Explore problems involving inclined planes and forces in physics
  • Practice calculating velocities in various scenarios involving friction
USEFUL FOR

Students preparing for physics exams, particularly those focusing on mechanics and kinematics, as well as educators seeking to reinforce concepts related to motion on inclined surfaces.

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Homework Statement



a 0.75kg brick is released from rest and slides down an inclined roof pitched at 30 degrees to the horizontal. the brick slides 2.5m before striking the gutter and the coefficient of friction between the roof and the brick is 0.3. determine the velocity at which the brick strikes the gutter.

Homework Equations



v^2=u^2 + 2as

The Attempt at a Solution



i know the answer is 3.43m/s but the closest I've come is 1.45m/s. please help as this revision for an exam next week! :-(

thanks!
 
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i've done it! thanks anyway guys!
 

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