an object has a velocity of 8 m/s and a kinetic energy of 480 j. what is the mass of the object? (formula…

an object has a velocity of 8 m/s and a kinetic energy of 480 j. what is the mass of the object? (formula: $ke=\frac{1}{2}mv^{2}$)\no 7.5 kg\no 15 kg\no 60 kg\no 120 kg

an object has a velocity of 8 m/s and a kinetic energy of 480 j. what is the mass of the object? (formula: $ke=\frac{1}{2}mv^{2}$)\no 7.5 kg\no 15 kg\no 60 kg\no 120 kg

Answer

Explanation:

Step1: Rearrange the kinetic - energy formula for mass.

Given $KE=\frac{1}{2}mv^{2}$, we can solve for $m$. First, multiply both sides of the equation by 2 to get $2KE = mv^{2}$. Then, divide both sides by $v^{2}$ to obtain $m=\frac{2KE}{v^{2}}$.

Step2: Substitute the given values into the formula.

We know that $KE = 480\ J$ and $v = 8\ m/s$. Substituting these values into $m=\frac{2KE}{v^{2}}$, we have $m=\frac{2\times480}{8^{2}}$. First, calculate the denominator: $8^{2}=64$. Then, calculate the numerator: $2\times480 = 960$. So, $m=\frac{960}{64}=15\ kg$.

Answer:

15 kg