AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A truck with mass m has a brake failure while going down an icy mountain road of constant downward slope angle $α$ (see figure). Initially, the truck is moving downhill at speed $v_{0}$ . After travelling downhill a distance L with negligible friction, the truck driver steers the runaway vehicle onto a runway truck ramp of constant upward slope angle $β$ .The truck ramp has a soft sand surface for which the coefficient of rolling friction is 14. What is the distance that the truck moves up the ramp before coming to a halt?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$\frac{(\frac{{v^{2}}_{0}}{2 g}) - Lsinα}{\sin β + μ_{r} cosβ}$

$\frac{(\frac{{v^{2}}_{0}}{2 g}) + Lsinα}{\sin β + μ_{r} cosβ}$

$\frac{(\frac{{v^{2}}_{0}}{2 g}) + Lsin α}{\sin β - μ_{r} \cos β}$

None of these

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Denote the distance the truck moves up the ramp by x. $K_{1} = \frac{1}{2} {mv}^{2}_{0}, U_{1} = mgL \sin α, K_{2} = 0, U_{2} = mgx \sin β and W_{other} = - μ_{r} mgx cosβ . From$

$W_{other} = (K_{2} + U_{2}) - (K_{1} + U_{1}), and solving for x,$

$x = \frac{K_{1)} + mgLsinα}{mg (\sin β + μ_{r} cosβ)} = \frac{(\frac{{v^{2}}_{0}}{2 g}) + Lsin α}{\sin β + μ_{r} \cos β}$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!