Two children push on opposite sides of a door during play. both push horizontally and perpendicular to the door. one child pushes with a force of 165 n at a distance of 0.400 m from the hinges, and the second pushes at a distance of 0.450 m. what force (in n) must the second exert to keep the door from moving

Question

Neil Wilkins

Physics

19 August, 15:49

Two children push on opposite sides of a door during play. both push horizontally and perpendicular to the door. one child pushes with a force of 165 n at a distance of 0.400 m from the hinges, and the second pushes at a distance of 0.450 m. what force (in n) must the second exert to keep the door from moving

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Sherlyn Cooke · Answer 1

From the principle of conservation of linear momentum

Force x distance1 = opposite force x distance 2

165 x 0.4 = 0.45 x F2

F2 = 165x0.4/0.45

F2 = 147N

The second child must exert a force of 147N to keep the door from moving.