Aparticle moving along the y-axis has the potential energy u =4y3j, where y is in m. what is the y-component of the force on the particle at y=0 m, 1 m, and 2 m?

The force on the particle at

Explanation:

Given information:

The potential energy:

Now, as we know that force:

So, the gradient of energy with position y

At, y=0

.

At, y=1

At, y=2

Hence , The force on the particle at

For more information visit:

link

Potential energy is given as

now as we know that force is related by potential energy by the formula

So it is gradient of energy with position in Y

Now at y = 0

at y = 1

at y = 2

so above is the forces at given positions

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min