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Q1) A one-dimensional conservative potential is given by U(x)=7x2J, with x measured in meters. If a...

Q1) A one-dimensional conservative potential is given by U(x)=7x2J, with x measured in meters. If a 4kg particle starts at x=1 with a velocity of +10m/s, how fast will it be going when it reaches x=2 meters?

please explain how you solved for this.

Q2)

A hand grenade has a mass of 6kg and it explodes into three pieces each of the same mass. Two of them go off, each with a speed of 17m/s with an angle of 60° between their trajectories. What is the speed of the third?

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