wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A small roller coaster starts at point A with a speed u on a curved track as shown in the figure.
The friction between the roller coaster and the track is negligible and its always remains in contact with the track. The speed of roller coaster at point D on the track will be:
939547_a782f8776aa24a0b925d9359b8f877e6.png

A
(u2+gh)1/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(u2+2gh)1/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(u2+4gh)1/2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
u
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C (u2+4gh)1/2
Let the speed of the roller coaster at point D be v.
Applying the law of conservation of energy between points A and D, we get
12mu2+mg(2h)=12mv2+0
or u2+4gh=v2 or v=u2+4gh.

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relative
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon