Question

kannryn wants to find the mass of an object with 5000 j of kinetic energy and a velocity of 99 m/s. she wrote the equation 99 = \frac{2(5000)}{m} order the equations below to show the steps she would use to solve the equation to find the value of m. 99^{2}=\frac{10,000}{m} 99=\sqrt{\frac{2(5000)}{m}} m=\frac{10,000}{9801} 9801m = 10,000

Explanation:

Step1: Square both sides

$$99^{2}=\frac{2(5000)}{m}$$

Step2: Cross - multiply

$$99^{2}m = 2\times5000$$

Step3: Solve for \(m\)

$$m=\frac{2\times5000}{99^{2}}$$

Step4: Calculate the value

$$m=\frac{10000}{9801}\approx1.02$$

Answer:

The order of equations should be \(99=\sqrt{\frac{2(5000)}{m}}\), \(99^{2}=\frac{10000}{m}\), \(99^{2}m = 10000\), \(m=\frac{10000}{9801}\)