Question:
A particle of mass π is moving in the xy-plane such that its velocity at a point (x, y) is given as \(\overrightarrow{v}=a(y\^{x}+2x\^{y})\) where πΌ is a non-zero constant. What is the force F acting on the particle?
A particle of mass π is moving in the xy-plane such that its velocity at a point (x, y) is given as \(\overrightarrow{v}=a(y\^{x}+2x\^{y})\) where πΌ is a non-zero constant. What is the force F acting on the particle?
Updated On: Aug 19, 2024
- \(\overrightarrow{πΉ} = 2ma^2(x\^{x}+y\^{y})\)
- \(\overrightarrow{πΉ} = ma^2(y\^{x}+2x\^{y})\)
- \(\overrightarrow{πΉ} = 2ma^2(y\^{x}+x\^{y})\)
- \(\overrightarrow{πΉ} = ma^2(x\^{x}+2y\^{y})\)
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The Correct Option is A
Solution and Explanation
The correct option is(A): \(\overrightarrow{πΉ} = 2ma^2(x\^{x}+y\^{y})\)
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Concepts Used:
Speed and Velocity
The rate at which an object covers a certain distance is commonly known as speed.
The rate at which an object changes position in a certain direction is called velocity.
Difference Between Speed and Velocity:
Read More: Difference Between Speed and Velocity