Answers A 2.84 kg mud ball has a perfectly inelastic collision with a second mud ball that is initially at rest. The composite system moves with a speed equal to one-seventh the original speed of the 2.84 mud ball. What is the mass of the second mud ball

Perfectly inelastic collision is type of collision during which two objects collide, stay connected and momentum is conserved. Formula used for conservation of momentum is:

In case of perfectly inelastic collision v'1 and v'2 are same.

We have following information:

m₁=3 kg

m₂=? kg

v₁=x m/s

v₂=0 m/s

v'1 = v'2 = 1/3 * v₁

Now we insert given information and solve for m₂:

3*v₁ + 0*? = 3*1/3*v₁ + m₂*1/3*v₁

3v₁ = v₁ + m₂*1/3*v₁

2v₁ = m₂*1/3*v₁

2 = m₂*1/3

m₂= 6kg

Mass of second mud ball is 6kg.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

answer: your correct answer is b. d.

step-by-step explanation: