Question

step 3: calculate the predicted change in kinetic energy
calculate the change in the kinetic energy (ke) of the bottle when the mass is increased. use the formula ( ke = \frac{1}{2}mv^2 ), where ( m ) is the mass and ( v ) is the speed (velocity). assume that the speed of the soda bottle falling from a height of 0.8 m will be 4 m/s, and use this speed for each calculation.
record your calculations in table a of your st guide.
when the mass of the bottle is 0.125 kg, the ke is 1 ( \text{kg} cdot \text{m}^2/\text{s}^2 ).
when the mass of the bottle is 0.250 kg, the ke is dropdown ( \text{kg} cdot \text{m}^2/\text{s}^2 ).
when the mass of the bottle is 0.375 kg, the ke is...
bottle is 0.500 kg, the ke is...
dropdown options: 0.5, 1, 2, 4

Explanation:

Step1: Identify the formula and values

The formula for kinetic energy is \( KE = \frac{1}{2}mv^2 \), where \( m = 0.250 \, \text{kg} \) and \( v = 4 \, \text{m/s} \).

Step2: Substitute the values into the formula

First, calculate \( v^2 \): \( v^2 = (4)^2 = 16 \, \text{m}^2/\text{s}^2 \).
Then, substitute \( m \) and \( v^2 \) into the formula:
\( KE = \frac{1}{2} \times 0.250 \times 16 \).

Step3: Perform the calculation

\( \frac{1}{2} \times 0.250 = 0.125 \), then \( 0.125 \times 16 = 2 \).

Answer:

2