Let's tackle each question one by one.
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Net Force and Mass vs. Acceleration: The relationship between net force (F), mass (m), and acceleration (a) is given by Newton's second law, \( F = m \cdot a \). We can use this equation to find the missing acceleration when the net force is 20.0 N and mass is 5.0 kg.
Using the equation: \[ a = \frac{F}{m} = \frac{20.0 , \text{N}}{5.0 , \text{kg}} = 4.0 , \text{m/s}^2 \]
So, the value that would complete the last cell is 4.0.
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Equation for Motion: We want to find the final position \( x \) after 1 second using the equation: \[ x = x_0 + v_0 t + \frac{1}{2} a t^2 \] Given that the object is moving at a constant speed, the acceleration \( a \) is 0. Therefore, the equation simplifies to: \[ x = x_0 + v_0 t \] Plugging in the values:
- \( x_0 = 2 , \text{m} \)
- \( v_0 = 15 , \text{m/s} \)
- \( t = 1 , \text{s} \)
So: \[ x = 2 , \text{m} + 15 , \text{m/s} \cdot 1 , \text{s} = 2 , \text{m} + 15 , \text{m} = 17 , \text{m} \]
The final position of the object after 1 second is 17 m.
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Graph of an Object's Position Over Time: If the graph of an object's position over time is a horizontal line and \( y \) is not equal to 0, it indicates that the position is constant. This means that the object is not changing its position with respect to time.
- A horizontal line indicates that the velocity is constant and non-zero (it is moving at a constant speed).
- The acceleration would be 0 since the velocity is not changing.
Therefore, the correct response is: The velocity is constant and non-zero.
In summary:
- The missing acceleration is 4.0.
- The final position after 1 second is 17 m.
- The velocity is constant and non-zero.