A car is traveling with a velocity of 30 m/s has a kinetic energy of 800,000 J. What is the mass of the car?

Answer 1

The mass of the car is 1800 kg.

Everything in motion has kinetic energy, which is the energy of motion.

The equation for determining kinetic energy is #"KE"=1/2mv^2#, where #"KE"# is kinetic energy in J, #m# is mass in kg, and #v# is speed in m/s.

Given #"KE=800000 J"="800000 kg·m"^2/"s"^2# #v="30 m/s"#

Unknown #m#

Solution Rearrange the equation to isolate #m# and solve.

#"KE"=1/2mv^2#

#m=(2"KE")/(v^2)#

#m=(2·800000"kg·m"^2/"s"^2)/((30"m/s")^2"#

#m=(2·800000"kg·m"^2/"s"^2)/(900"m"^2/"s"^2)#

#m="1800kg"# (rounded to two significant figures)

Academic: SigFigsAndRounding.html; Magri/PUBLIC.acd; Academic.umf.maine.edu

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Answer 2

Sebastian Acosta

To find the mass of the car, you can use the formula for kinetic energy: KE = 0.5 * mass * velocity^2. Rearrange the formula to solve for mass: mass = 2 * kinetic energy / velocity^2. Substituting the given values: mass = 2 * 800,000 J / (30 m/s)^2. Calculating: mass ≈ 888.89 kg.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.