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Please show work if possible! Thank you!!
A 2.0 x 103 kg roller coaster travels around a vertical 24-m radius loop. If the coaster has a tangential speed of 18 m/s at the lowest point of the loop, what is the normal force that is exerted on the coaster by the track at this point?
a. 5.3 x 10^4 N
b. 4.7 x 10^4 N
c. 3.0 x 10^4 N
d. 2.7 x 10^4 N

Respuesta :

onyebuchinnaji

B. The normal force that is exerted on the coaster by the track at the lowest point is 4.7 x 10⁴ N.

Normal force exerted on the coaster at the lowest point

Fₙ = mg + mv²/r

where;

  • m is mass of the coaster
  • v is speed of the coaster
  • r is radius of the path

Fₙ = (2,000 x 9.8) + (2,000 x 18²)/24

Fₙ = 46,600 N

Fₙ =  4.7 x 10⁴ N

Thus, the normal force that is exerted on the coaster by the track at the lowest point is 4.7 x 10⁴ N.

Learn more about normal force here: https://brainly.com/question/14486416

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