Final answer:
The mass of the lime can be found by rearranging the kinetic energy formula to solve for mass, and then performing the calculations to obtain the result in grams.
Step-by-step explanation:
The student is asking how to find the mass of a lime given its kinetic energy and velocity. The kinetic energy of an object can be calculated using the formula KE = ½ mv² where KE is kinetic energy, m is mass, and v is velocity. We can rearrange this formula to solve for mass (m) since we have the values for KE and v.
To find the mass in grams, the equation will be rearranged to: m = (2 × KE) / v². Plugging in the values: m = (2 × 3.35 × 10⁻² J) / (0.780 m/s)². After calculating the mass in kilograms, it would be converted to grams by multiplying by 1000 g/kg.