Question

What is the kinetic energy of an a 7.1 kg sled with a velocity of 5.7 m/s?

Answer 1

115.3395 j

Step-by-step explanation:

K= 1/2mv²= (7.1/2)*5.7² = 115.3395 j

Answer 2

115.34 J

General Formulas and Concepts:

Energy

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

• m is mass (in kg)
• v is velocity (in m/s)

Step-by-step explanation:

Step 1: Define

Identify variables

[Given] m = 7.1 kg

[Given] v = 5.7 m/s

[Solve] KE

Step 2: Solve for KE

1. Substitute in variables [Kinetic Energy Formula]:
   `\displaystyle KE = (1)/(2)(7.1 \ kg)(5.7 \ m/s)^2`
2. Evaluate exponents:
   `\displaystyle KE = (1)/(2)(7.1 \ kg)(32.49 \ m^2/s^2)`
3. Multiply:
   `\displaystyle KE = (3.55 \ kg)(32.49 \ m^2/s^2)`
4. Multiply:
   `\displaystyle KE = 115.34 \ J`

Topic: AP Physics 1 - Algebra Based

Unit: Energy

Book: College Physics