To calculate the mass of the bowling ball, we can use the given formula for mass based on the kinetic energy and speed of the object. The formula is:
[tex]\[ m = \frac{2 \cdot KE}{v^2} \][/tex]
where:
- [tex]\( KE \)[/tex] is the kinetic energy
- [tex]\( v \)[/tex] is the speed
Given:
- The kinetic energy [tex]\( KE \)[/tex] is 1.8 joules
- The speed [tex]\( v \)[/tex] is 2 meters/second
Now, substitute these values into the formula:
[tex]\[ m = \frac{2 \cdot 1.8}{2^2} \][/tex]
First, calculate the denominator:
[tex]\[ 2^2 = 4 \][/tex]
Next, multiply the kinetic energy by 2:
[tex]\[ 2 \cdot 1.8 = 3.6 \][/tex]
Now, divide the result by the value of the denominator:
[tex]\[ m = \frac{3.6}{4} = 0.9 \][/tex]
Thus, the mass of the bowling ball is [tex]\( 0.9 \)[/tex] kilograms.
Therefore, the correct answer is:
[tex]\[ 0.9 \][/tex] kilograms.
