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Question
3.1 types of energy an object has a speed of 10 m/s and a kinetic energy of 5 j. what is the mass of the object? ○ 5 g ○ 10 g ○ 100 g ○ 50 g
Step1: Recall kinetic energy formula
The formula for kinetic energy (KE) is $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is velocity. We need to solve for $m$.
Step2: Rearrange formula for mass
From $KE = \frac{1}{2}mv^2$, multiply both sides by 2: $2KE = mv^2$. Then divide both sides by $v^2$: $m=\frac{2KE}{v^2}$.
Step3: Substitute values
Given $KE = 5\ J$ and $v = 10\ m/s$. Substitute into the formula: $m=\frac{2\times5}{10^2}=\frac{10}{100}=0.1\ kg$.
Step4: Convert kg to g
Since $1\ kg = 1000\ g$, $0.1\ kg = 0.1\times1000 = 100\ g$.
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100 g (corresponding to the option "100 g")