A box is projected up a long ramp (incline angle with the horizontal=30^(@)) with an initial speed of 8m/s. if the surface of the ramp is very smooth (essentially frictionless), how high up the ramp will the box go? What distance along the ramp will it slide?

Class 12 Physics in Class 12 3 years ago

  1.42K   0   0   0   0 tuteeHUB earn credit +10 pts

5 Star Rating 1 Rating

Solution :Because friction is negligible, we can apply conservation of mechanical ENERGY. Calling the BOTTOM of the ramp our H=0 reference level, we write
`K_(i)+U_(i)=K_(f)+U_(f)`
`(1)/(2)mv_(0^(2)+0=0+mgh`
`h=((1)/(2)v_(0)^(2))/(g)` ltBrgt `=((1)/(2)(8m//s)^(2))/(10m//s^(2))`
=3.2m
Since the INCLINE angle is `theta=30^(@)`, the distance, d, it slides up the ramp is found in the following way.

`h=dsintheta`
`d=(h)/(sintheta)=(3.2m)/(sin30^(@))=6.4m`.

Posted on 11 Dec 2021, this text provides information on Class 12 related to Physics in Class 12. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

Take Quiz To Earn Credits!

Turn Your Knowledge into Earnings.

tuteehub_quiz

Tuteehub forum answer Answers

Post Answer

No matter what stage you're at in your education or career, TuteeHub will help you reach the next level that you're aiming for. Simply,Choose a subject/topic and get started in self-paced practice sessions to improve your knowledge and scores.