A particle of mass M moves along a straight line with initial speed vi. A force of magnitude F pushes the particle a distance D along the direction of its motion.

Part A: Find vf, the final speed of the particle after it has traveled a distance D. Express the final speed in terms of vi, M, F, and D.

Question

Physics

Elijah

22 September, 11:30

A particle of mass M moves along a straight line with initial speed vi. A force of magnitude F pushes the particle a distance D along the direction of its motion.

Part A: Find vf, the final speed of the particle after it has traveled a distance D. Express the final speed in terms of vi, M, F, and D.

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Answers (1)

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Titus Vance · Answer 1

vf = √ (vi²+2 * (F/m) * D)

Explanation:

Given

Mass of the particle: M

Initial speed of the particle: vi

Force: F

Distance: D

We can apply the formula

F = M*a ⇒ a = F/m

then we use the equation

vf = √ (vi²+2*a*D)

⇒ vf = √ (vi²+2 * (F/m) * D)

A particle of mass M moves along a straight line with initial speed vi. A force of magnitude F pushes the particle a distance D along the direction of its motion.Part A: Find vf, the final speed of the particle after it has traveled a distance D. Express the final speed in terms of vi, M, F, and D.