1)A boy shoves his stuffed toy zebra down a frictionless chute, starting at a he

Question

1)A boy shoves his stuffed toy zebra down a frictionless chute, starting at a height of 1.35 m above the bottom of the chute and with an initial speed of 1.55 m/s. The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with coefficient of kinetic friction 0.237. How far from the bottom of the chute does the toy zebra come to rest? Take g = 9.81 m/s2.

2)A 8.10 × 103-kg car is travelling at 28.7 m/s when the driver decides to exit the freeway by going up a ramp. After coasting 369 m along the exit ramp the car's speed is 12.9 m/s, and it is h = 11.9 m above the freeway. What is the magnitude of the average drag force exerted on the car?

Explanation / Answer

here,

height of the toy , h = 1.35 m

initial speed , v0 = 1.55 m/s

let the speed of toy at the bottom be u

using conservtaion of energy

0.5 * m* u^2 - 0.5 * m*v0^2 = m*g*h

u^2 - 1.55^2 = 2*9.8*1.35

u = 5.37 m/s^2

coefficient of friction , uk = 0.237

accelration due to friction , a = - uk*g

a = - 2.32 m/s^2

let the distance to come to rest be s

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

0 - 5.37^2 = - 2 *2.32 * s

s = 6.21 m

the disatnce travelled by toy before coming to rest is 6.21 m

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