Hello, I am having problems with this question! How would you dothis?? Two frien

Question

Hello, I am having problems with this question! How would you dothis?? Two friends, Al and Jo, have a combined mass of 175 kg. At anice skating rink they stand close together on skates, at rest andfacing each other, with a compressed spring between them. Thespring is kept from pushing them apart, because they are holdingeach other. When they release their arms, Al moves off in onedirection at a speed of 0.874 m/s, while Jo moves off in theopposite direction at a speed of 1.12 m/s. Assuming that frictionis negligible, find Al's mass. Hello, I am having problems with this question! How would you dothis?? Two friends, Al and Jo, have a combined mass of 175 kg. At anice skating rink they stand close together on skates, at rest andfacing each other, with a compressed spring between them. Thespring is kept from pushing them apart, because they are holdingeach other. When they release their arms, Al moves off in onedirection at a speed of 0.874 m/s, while Jo moves off in theopposite direction at a speed of 1.12 m/s. Assuming that frictionis negligible, find Al's mass.

Explanation / Answer

let Al's mass be m, Jo's mass will be (175kg-m) for momentum conservation, we have: m*0.874m/s = (175kg-m)*1.12 m/s =>0.874*m (kgm/s) = 175kg*1.12m/s - 1.12 * m (kgm/s) => m = 175kg*1.12m/s / (1.994 m/s) = 98.29 kg answer: Al's mass is 98.29kg

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