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.
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- Substitute the values: \( s = 0 \times 10 + \frac{1}{2} \times 3 \times 10^2 \).
- Calculate \( \frac{1}{2} \times 3 \times 100 = 150 \).
- #### 150 meters
- 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: \( 10 \times 9.8 \times \sin(30^\circ) = 98 \times 0.5 = 49 \, \text{N} \).
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