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Calculate the mass of the object. Use [tex]$m=\frac{2 KE}{v^2}$[/tex].

Matthew rolls a bowling ball with a speed of 2 meters/second. The ball hits the pins with 1.8 joules of kinetic energy. The mass of the bowling ball is [tex]\square[/tex] kilograms.


Sagot :

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.