a soccer ball is traveling at a velocity of 50 m/s. the kinetic energy of the ball is 500 j. what is the…

a soccer ball is traveling at a velocity of 50 m/s. the kinetic energy of the ball is 500 j. what is the mass of the soccer ball? (formula: $ke=\frac{1}{2}mv^{2}$)\n0.1 kg\n0.2 kg\n0.4 kg\n0.5 kg

a soccer ball is traveling at a velocity of 50 m/s. the kinetic energy of the ball is 500 j. what is the mass of the soccer ball? (formula: $ke=\frac{1}{2}mv^{2}$)\n0.1 kg\n0.2 kg\n0.4 kg\n0.5 kg

Answer

Explanation:

Step1: Rearrange kinetic - energy formula for mass

Given $KE=\frac{1}{2}mv^{2}$, we can solve for $m$ as $m = \frac{2KE}{v^{2}}$.

Step2: Substitute given values

We know that $KE = 500\ J$ and $v = 50\ m/s$. Substituting these values into the formula $m=\frac{2\times500}{50^{2}}$. First, calculate the denominator: $50^{2}=2500$. Then, calculate the numerator: $2\times500 = 1000$. So, $m=\frac{1000}{2500}=0.4\ kg$.

Answer:

$0.4\ kg$