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givi [52]
3 years ago
15

A1 does kilogram block slides down a frictionless inclined plane 2.5 M High what is the velocity of the bottom of the plane assu

me gravitational acceleration is 9.8 Ms is it 2.5 mm is 3.9 m s 7.0 m s r 9.8 m s?
Advanced Placement (AP)
1 answer:
noname [10]3 years ago
5 0

Answer:

The velocity is 7.0m/s

Explanation:

Given

mass (m) = 1kg

height (h) = 2.5m

g = 9.8m/s^2

Required

The bottom of the plane velocity

To do this, we apply the work-energy theorem which states that the energy at the highest point and at the lowest point are equal.

<u>At the highest point</u>

v = 0

E = \frac{1}{2}mv^2 + mgh

E = \frac{1}{2}*1*0^2+ 1 * 9.8 * 2.5

E = 0 + 24.5

E = 24.5

<u>At the lowest point</u>

h = 0

E = \frac{1}{2}mv^2 + mgh

E = \frac{1}{2} * 1 * v^2 + mg(0)

E = \frac{1}{2} * 1 * v^2 + 0

E = \frac{v^2}{2}

Equate both values of energy

24.5 = \frac{v^2}{2}

v^2 = 2 * 24.5

v^2 = 49

Take square roots of both sides

v = 7

The velocity is 7.0m/s

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