Question

Use the formula to determine the value of the indicated variable for the needed. K = 1/2 mv²;

determine m when v = 51 and K = 7803

Answer 1

To find the mass using the kinetic energy formula, rearrange to m = (2K) / v² and substitute the given values. The calculation results in a mass of approximately 6.028 kg when the velocity is 51 m/s and the kinetic energy is 7803 J.

Step-by-step explanation:

Calculating Mass from Kinetic Energy and Velocity:

To determine the mass (m) when we know the velocity (v = 51 m/s) and the kinetic energy (K = 7803 J), we can rearrange the formula K = 1/2 mv² to solve form. Following these steps:

1. Rearrange the formula to solve form: m = (2K) / v².
2. Substitute the known values into the equation: m = 2(7803 J) / (51 m/s)².
3. Perform the calculation to find m.

After substituting the values:

m = 2(7803 J) / (51 m/s)² = 6.028 kg (rounded to three decimal places).

Therefore, the mass m when v = 51 m/s and K = 7803 J is approximately 6.028 kg.