9) A 400.0 kg rallercosster car compresses a spring of spring constant 2000. N/m

Question

9) A 400.0 kg rallercosster car compresses a spring of spring constant 2000. N/m by 1.25 meters. Alj f the spring is released to push the cart, starting at rest, how fast will the car be moving on a frictionless track once it clears the spring? Bi it then encounters a curved inclinie, how high up the incline does it go before coming to a momentary stop? C)Itthen rolls back onto the horizontal track. If the car then applies it brakes by inducing kinetic friction pad with ae-03, how far does the car go before coming to a stop? ew as Text 8 0 4

Explanation / Answer

here,

mass ,m = 400 kg

spring constant , K = 2000 N/m

x = 1.25 m

A)

let the speed of car be v

using conservation of energy

0.5 * m * v^2 = 0.5 * k * x^2

400 * v^2 = 2000 * 1.25^2

solving for v

v = 2.8 m/s

b)

let the height achived be h

using conservation of ennergy

0.5 * m * v^2 = m * g * h

0.5 * 2.8^2 = 9.81 * h

h = 0.4 m

c)

uk = 0.3

accelration , a = -uk * g

a = - 2.94 m/s^2

let the distance travelled before stopping be s

v^2 - u^2 = 2 * a * s

0 - 2.8^2 = - 2 * 2.94 * s

s = 1.33 m

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