Question

What is the mass of a bat that glides downward from a cave ceiling with a speed of 3.3 m/s and a kinetic energy of 45 J?

A) 0.8 kg
B) 8.3 kg
C) 1.04 kg
D) 2.1 kg

Answer 1

The mass of the bat is calculated using the kinetic energy formula, yielding approximately 8.264 kg, which corresponds to the multiple-choice option closest to 8.3 kg (Option B).

Step-by-step explanation:

To determine the mass of a bat that glides downward from a cave ceiling with a speed of 3.3 m/s and a kinetic energy of 45 J, we need to use the formula for kinetic energy (KE), which is KE = (1/2)mv², where m is the mass of the object, v is the velocity, and KE is the kinetic energy.

First, we rearrange the formula to solve for mass (m): m = (2KE) / v². Plugging in the values, we get m = (2 * 45 J) / (3.3 m/s)² = 90 / 10.89 = 8.264 kg, which, for the purposes of multiple-choice options, would be closest to 8.3 kg (Option B).