Question

what is the velocity of a 0.145kg baseball if its kinetic energy is 109 j

Answer 1

Answer:

The velocity of the 0.145 kg baseball is 38.7743 m/s.

General Formulas and Concepts:
Energy

Kinetic Energy Formula: $\displaystyle KE = \frac{1}{2}mv^2$

• m is mass (in kg)
• v is velocity (in m/s)
• KE is kinetic energy (in J)

Explanation:

Step 1: Define

Identify.

m = 0.145 kg

KE = 109 J

Step 2: Solve for v

1. Substitute in variables [Kinetic Energy Formula]:                                      $\displaystyle 109 \ \text{J} = \frac{1}{2}(0.145 \ \text{kg})v^2$
2. Simplify:                                                                                                        $\displaystyle 109 \ \text{J} = (0.0725 \ \text{kg})v^2$
3. Isolate variable term:                                                                                   $\displaystyle 1503.45 \ \text{J/kg} = v^2$
4. Isolate v:                                                                                                       $\displaystyle v = 38.7743 \ \text{m/s}$

Topic: AP Physics 1/C

Unit: Energy