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Home » Therefore, there are \(\boxed60\) ways to choose and arrange 3 minerals from 5. - go-checkin.com

Therefore, there are \(\boxed60\) ways to choose and arrange 3 minerals from 5. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A 10 kg block is pushed up a 30-degree incline with a force of 50 N parallel to the incline. Calculate the acceleration of the block, ignoring friction.

📌 The component of gravitational force along the incline is \( mg \sin(\theta) \).

📌 Mass \( m = 10 \, \text{kg} \), gravitational acceleration \( g = 9.8 \, \text{m/s}^2 \), angle \( \theta = 30^\circ \).

📌 Gravitational force component: \( 10 \times 9.8 \times \sin(30^\circ) = 98 \times 0.5 = 49 \, \text{N} \).

📌 Net force \( F_{\text{net}} = 50 \, \text{N} - 49 \, \text{N} = 1 \, \text{N} \).

📌 Using \( F = ma \), solve for \( a \): \( a = F_{\text{net}}/m = 1/10 = 0.1 \, \text{m/s}^2 \).

📌 #### 0.1 m/s²

📌 Find the sum of the series \( 1 + 3 + 5 + \dots + 99 \).

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