Q.

The potential energy (in SI units) of a particle of mass 2 kg in a conservative field is U = 6x - 8y. If the initial velocity of the particle is u→=−1.5i^+2j^, then find the total distance (in m) travelled by the particle in first two seconds.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

answer is 15.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

F→=−∂U∂xi^−∂U∂yj^=−6i^+8j^a→=−3i^+4j^ has some direction as that of u→=−1.5i^+2j^|a→|=5,|u→|=52Since u→ and a→ are in same direction, particle will move along a straight line S=52×2+12×5×22=15 m
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon
The potential energy (in SI units) of a particle of mass 2 kg in a conservative field is U = 6x - 8y. If the initial velocity of the particle is u→=−1.5i^+2j^, then find the total distance (in m) travelled by the particle in first two seconds.