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Home » This Secret Water Bottle Holder is Taking Hiking and Gym by Storm – Claim Yours! - Simpleprint

This Secret Water Bottle Holder is Taking Hiking and Gym by Storm – Claim Yours! - Simpleprint

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 #### 150 meters

📌 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

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