Question

The table below has a set of mass and acceleration values for various bumper cars. Car # Mass (kg) Acceleration (m/s/s) 1 53 2.5 2 75 1.8 3 87 1.9 4 59 3.0 Which of these cars will impart the most force when it slams into another car? (1 point) Responses 1 1 2 2 3 3 4 4

Answer 1

To determine which bumper car will impart the most force when it slams into another car, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a), or \( F = m \times a \).

We'll calculate the force for each car:

1. **Car 1**:
- Mass = 53 kg
- Acceleration = 2.5 m/s²
- Force = \( 53 \times 2.5 = 132.5 \) N

2. **Car 2**:
- Mass = 75 kg
- Acceleration = 1.8 m/s²
- Force = \( 75 \times 1.8 = 135 \) N

3. **Car 3**:
- Mass = 87 kg
- Acceleration = 1.9 m/s²
- Force = \( 87 \times 1.9 = 165.3 \) N

4. **Car 4**:
- Mass = 59 kg
- Acceleration = 3.0 m/s²
- Force = \( 59 \times 3.0 = 177 \) N

Now, comparing the forces calculated:
- Car 1: 132.5 N
- Car 2: 135 N
- Car 3: 165.3 N
- Car 4: 177 N

Thus, **Car 4** imparts the most force when it slams into another car, with a force of 177 N.

The response is: **4**.