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Given that E = 1/2 mv2 + mgn and that E = 360v=20 g=10 and n=4 find the value of m

August 16, 2026Physics

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Answer

m = 1.5

4 steps

Huu hapa utatuzi wa swali hilo:

Andika formula uliyopewa na thamani zake.
Formula:
$E = \frac{1}{2}mv^2 + mgh$
Thamani zilizopewa:
$E = 360$ $v = 20$ $g = 10$ $h = 4$
Badilisha thamani zilizopewa kwenye formula.
$360 = \frac{1}{2}m(20)^2 + m(10)(4)$
Rahisisha mlinganyo.
$360 = \frac{1}{2}m(400) + m(40)$ $360 = 200m + 40m$ $360 = 240m$
Tatua kwa $m$ .
$m = \frac{360}{240}$ $m = \frac{36}{24}$
Gawanya namba na denominator kwa 12:
$m = \frac{3}{2}$ $m = 1.5$
Thamani ya $m$ ni:

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