The table below has a set of mass and acceleration values for various bumper cars.

Question

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)
1
2
3
4

Answer 1

To determine which 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):

\[ F = m \times a \]

We can calculate the force for each car using the mass and acceleration provided:

1. Car 1: \[ F = 53 , \text{kg} \times 2.5 , \text{m/s}^2 = 132.5 , \text{N} \]

2. Car 2: \[ F = 75 , \text{kg} \times 1.8 , \text{m/s}^2 = 135 , \text{N} \]

3. Car 3: \[ F = 87 , \text{kg} \times 1.9 , \text{m/s}^2 = 165.3 , \text{N} \]

4. Car 4: \[ F = 59 , \text{kg} \times 3.0 , \text{m/s}^2 = 177 , \text{N} \]

Now, comparing the forces calculated:

• Car 1: 132.5 N
• Car 2: 135 N
• Car 3: 165.3 N
• Car 4: 177 N

The car that will impart the most force when it slams into another car is Car 4.