The potential energy of a particle of mass 5 kg moving in the 𝑥 − 𝑦 plane is given by 𝑈 = (−7𝑥 + 24𝑦) J, 𝑥 and 𝑦 being in meter. Initially at 𝑡 = 0 the particle is at the origin (0, 0) moving with a velocity of (2.4𝐢̂+ 0.7𝐣̂)ms −1 . The magnitude of force on the particle is

Question: The potential energy of a particle of mass 5 kg moving in the 𝑥 − 𝑦 plane is given by 𝑈 = (−7𝑥 + 24𝑦) J, 𝑥 and 𝑦 being in meter. Initially at 𝑡 = 0 the particle is at the origin (0, 0) moving with a velocity of (2.4𝐢̂+ 0.7𝐣̂)ms −1 . The magnitude of force on the particle is

(A) 25 units

(B) 24 units

(C) 7 units

(D) None of these

Answer: Option (A)

Solution:

The potential energy of a particle of mass 5 kg moving in the 𝑥 − 𝑦 plane is given by 𝑈 = (−7𝑥 + 24𝑦) J, 𝑥 and 𝑦 being in meter. Initially at 𝑡 = 0 the particle is at the origin (0, 0) moving with a velocity of (2.4𝐢̂+ 0.7𝐣̂)ms −1 . The magnitude of force on the particle is
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