Question

1. a 13kg cart accelerates at 3 m/s² for 9 m. how much work is done?
2. a force of 60 n does 480 j of work. how far did the object move?
3. a 4kg mass accelerates at 11 m/s². what is the applied force?
4. a book stays at rest on a table until a student pushes it. which law is demonstrated?
5. a shopping cart accelerates faster when pushed with more force. which law is shown?
6. a rocket pushes gas downward and the rocket moves upward. which law is this?

Explanation:

Question 27

Step1: Find force using \( F = ma \)

\( m = 13\,\text{kg} \), \( a = 3\,\text{m/s}^2 \), so \( F = 13 \times 3 = 39\,\text{N} \)

Step2: Calculate work using \( W = Fd \)

\( F = 39\,\text{N} \), \( d = 9\,\text{m} \), so \( W = 39 \times 9 = 351\,\text{J} \)

Step1: Recall work formula \( W = Fd \), solve for \( d \)

\( d = \frac{W}{F} \)

Step2: Substitute \( W = 480\,\text{J} \), \( F = 60\,\text{N} \)

\( d = \frac{480}{60} = 8\,\text{m} \)

Step1: Use Newton's second law \( F = ma \)

\( m = 4\,\text{kg} \), \( a = 11\,\text{m/s}^2 \)

Step2: Calculate force

\( F = 4 \times 11 = 44\,\text{N} \)

Answer:

\( 351\,\text{J} \)

Question 28