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

ScanSolve AI Answer

August 16, 2026

Answer

m = 1.5

Huu hapa utatuzi wa swali hilo:

Step 1: Andika formula uliyopewa na thamani zake. Formula: $E = \frac{1}{2}mv^2 + mgh$ Thamani zilizopewa: $E = 360$ $v = 20$ $g = 10$ $h = 4$

Step 2: Badilisha thamani zilizopewa kwenye formula. $360 = \frac{1}{2}m(20)^2 + m(10)(4)$

Step 3: Rahisisha mlinganyo. $360 = \frac{1}{2}m(400) + m(40)$ $360 = 200m + 40m$ $360 = 240m$

Step 4: 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: $m = 1.5$

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Quick Answer

Huu hapa utatuzi wa swali hilo: Step 1: Andika formula uliyopewa na thamani zake.

Asked on August 16, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on August 16, 2026

Huu hapa utatuzi wa swali hilo: Step 1: Andika formula uliyopewa na thamani zake. Formula: E = (1)/(2)mv^2 + mgh Thamani zilizopewa: E = 360 v = 20 g = 10 h = 4 Step 2: Badilisha thamani zilizopewa kwenye formula. 360 = (1)/(2)m(20)^2 + m(10)(4) Step 3: Rahisisha mlinganyo. 360 = (1)/(2)m(400) + m(40) 360 = 200m + 40m 360 = 240m Step 4: Tatua kwa m. m = (360)/(240) m = (36)/(24) Gawanya namba na denominator kwa 12: m = (3)/(2) m = 1.5 Thamani ya m ni: m = 1.5 That's 2 down. 3 left today — send the next one.

Asked on August 16, 2026Physics

ScanSolve AI AnswerAnswered on August 16, 2026

Huu hapa utatuzi wa swali hilo: Step 1: Andika formula uliyopewa na thamani zake. Formula: E = (1)/(2)mv^2 + mgh Thamani zilizopewa: E = 360 v = 20 g = 10 h = 4 Step 2: Badilisha thamani zilizopewa kwenye formula. 360 = (1)/(2)m(20)^2 + m(10)(4) Step 3: Rahisisha mlinganyo. 360 = (1)/(2)m(400) + m(40) 360 = 200m + 40m 360 = 240m Step 4: Tatua kwa m. m = (360)/(240) m = (36)/(24) Gawanya namba na denominator kwa 12: m = (3)/(2) m = 1.5 Thamani ya m ni: m = 1.5 That's 2 down. 3 left today — send the next one.