Use the data table to answer the question. It shows the acceleration of a body when a net force is applied to it.

Net force (N) Mass (kg) Acceleration (m/s2)
5.0 5.0 1.0
10.0 5.0 2.0
20.0 5.0
Which value would complete the last cell?

(1 point)
Responses

25.0
25.0

100.0
100.0

4.0
4.0

3.0

Use the equation for motion to answer the question.

x=x0+v0t+1/2 at^2


An object has a starting position of 2 m, a starting velocity of 15 m/s, and is moving at a constant speed. Which option shows the final position of the object after 1 s?

(1 point)
Responses

60 m
60 m

30 m
30 m

17 m
17 m

32 m
32 m

The graph of an object's position over time is a horizontal line and y is not equal to 0. What must be true about the object's motion?(1 point)
Responses

The acceleration is negative.
The acceleration is negative.

The velocity is zero.
The velocity is zero.

The velocity is constant and non-zero.
The velocity is constant and non-zero.

The acceleration is constant and non-zero.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

Let's tackle each question one by one.

  1. 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.

  2. 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.

  3. 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:

  1. The missing acceleration is 4.0.
  2. The final position after 1 second is 17 m.
  3. The velocity is constant and non-zero.