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Relation between Work Done and PE

The potential...

Question

The potential energy (in joules) of a particle of mass $1 k g$ moving in a plane is given by $U = 3 x + 4 y$ , the position coordinates of the point being $x$ and $y$ , measured in metres. If the particle is at rest at $(6, 4)$ , then,

Its acceleration is of magnitude

5 m / s^{2}

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its speed when it crosses the y-axis is

10 m / s

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co-ordinates of particle at t = 1 sec are (

4.5

2

)

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the particle has zero acceleration

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Solution

The correct options are
A Its acceleration is of magnitude $5 m / s^{2}$
B its speed when it crosses the y-axis is $10 m / s$
C co-ordinates of particle at t = 1 sec are ( $4.5$ , $2$ )

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The potential energy (in joules) of a particle of mass 1 kg moving in a plane is given by U=3x+4y, the position coordinates of the point being x and y, measured in metres. If the particle is at rest at (6,4), then,

The correct options are A Its acceleration is of magnitude 5 m/s2 B its speed when it crosses the y-axis is 10m/s C co-ordinates of particle at t = 1 sec are (4.5, 2)

The potential energy (in joules) of a particle of mass $1 k g$ moving in a plane is given by $U = 3 x + 4 y$ , the position coordinates of the point being $x$ and $y$ , measured in metres. If the particle is at rest at $(6, 4)$ , then,

The correct options are
A Its acceleration is of magnitude $5 m / s^{2}$
B its speed when it crosses the y-axis is $10 m / s$
C co-ordinates of particle at t = 1 sec are ( $4.5$ , $2$ )