Question

An amusement park is creating signs to indicate the velocity of a roller coaster car on certain hills of the most popular ride. A roller coaster gains kinetic energy as itgoes down a hill. The velocity of an object in kilometers per hour kph) can be determined by Vwherekes the kinetic energy of the object in joulesand is the mass of the object in kilogramskeA roller coaster car has a mass of 350 kg and the car has a kinetic energy of 437.500 on the first hill. What velocity does the car obtain on the first hill?

Answer 1

v = 180 kph

Velocity of the car on the first hill = 180 kph

Step-by-step explanation

The kinetic energy of a body is given as

K.E = ½ mv²

For this question,

K.E = Kinetic Energy = 437,500 J

m = mass = 350 kg

v = velocity = ?

K.E = ½ mv²

Making v the subject of formula,

v = (2K/m)^(½)

K.E = ½ mv²

437,500 = ½ (350) v²

437,500 = 175v²

We can rewrite this as

175v² = 437,500

Divide both sides by 175

(175v²/175) = (437,500/175)

v² = 2500

We can then take the square root of both sides

√(v²) = √(2500)

v = 50 m/s

To convert this to kilometer/hour or kph, we need to note that

1,000 meters = 1 km

3600 s = 1 hour

Hope this Helps!!!