On a very muddy football field, a 110-kg linebacker tackles an 85-kg halfback. Immediately before the collision, the linebacker is slipping with a velocity of 8.8 m/s north and the half-back is sliding with a velocity of 7.2 m/s east. What is the velocity (magnitude and direction) at which the two players move together immediately after the collision?

Explanation:

mass of line backer, m1 = 110 kg

mass of half back, m2 = 85 kg

initial velocity of line backer, u1 = 8.8 m/s north = 8.8 j

initial velocity of the half back, u2 = 7.2 m/s east = 7.2 i

Use conservation of momentum

m1 x u1 + m2 x u2 = (m1 + m2) x v

where, v is the velocity of the combined mass

110 x 8.8 j + 85 x 7.2 i = (110 + 85) x v

968 j + 612 i = 195 v

v = 4.96 j + 3.14 i

The magnitude of velocity is

v = 5.87 m/s

θ = 57.7°

i think it’s a. this is because if they measured the mass of something with a mass of 150g, then their final answer would have to be approximately 150g. though all of their answers are almost 150, rosa and tran have the closest answers (or the exact answer) to the accurate one.

32: from largest to smallest, this hierarchy includes eons, eras, periods, epochs, and ages.

33: answer is c

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