Question

A 2000 kg boat drifts along the waves at a velocity of 3 m/s. What is the kinetic energy of the boat?

Answer 1

9000 J

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Physics

SI Units

• Energy is in Joules J = 1 Newton per meter N/m
• Mass m is in kilograms (kg)
• Velocity v is in meters per second m/s

Energy

Kinetic Energy Formula:
`\displaystyle KE = (1)/(2)mv^2`

• m is mass
• v is velocity
• KE is kinetic energy

Step-by-step explanation:

Step 1: Define

m = 2000 kg

v = 3 m/s

Step 2: Find KE

1. Substitute [KEF]:
   `\displaystyle KE = (1)/(2)(2000)(3)^2`
2. Exponents:
   `\displaystyle KE = (1)/(2)(2000)(9)`
3. Multiply:
   `\displaystyle KE = (1000)(9)`
4. Multiply:
   `\displaystyle KE = 9000`