U of 5 attempts used Question 16 A velcro-covered beanbag is fired into a empty

Question

U of 5 attempts used Question 16 A velcro-covered beanbag is fired into a empty wooden crate that is sitting on a concrete floor and is open on one side. The beanbag launcher is set up such that the beanbag is moving purely horizontally when it strikes and sticks to the inside, velcro-lined wall of the crate. As a result of this impact, the crate slides backwards 0.892 meters along the concrete ( coefficient of kinetic friction of = 0.50). The beanbag has a mass of 0.417 kg and the empty crate has a mass of 3.18 kg. Calculate the velocity of the beanbag. You may neglect the effect of air resistance. Enter answer here m/s 0 of 5 attempts used

Explanation / Answer

here,

uk = 0.5

the deaccelration due to friction , a = uk 8 g

a = 4.9 m/s^2

s = 0.892 m

the speed of combination after the impact , v= sqrt(2 * a * s)

v = sqrt(2 * 4.9 * 0.892) m/s

v = 2.96 m/s

let the initial speed of the beanbag be u

using conservation of momentum for the collison

0.417 * u = ( 0.417 + 3.18) * v

0.417 * u = ( 0.417 + 3.18) * 2.96

solving for u

u = 25.5 m/s

the initial speed of the beanbag is 25.5 m/s

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