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3 helena and bryce are pushing a filing cabinet to a new location. the …

Question

3 helena and bryce are pushing a filing cabinet to a new location. the filing cabinet weighs 800 n. and the floor pushes up with a force of 800 n. helena is pushing north with a force of 135 n. bryce is pushing north with a force of 120 n. and the force of friction is pushing southward with a force of 210 n. what is the net force on the filing cabinet? 255 n north 2065 n south 465 n south 45 n north

Explanation:

Step1: Calculate the total north - ward force

The north - ward forces are Helena's push and Bryce's push.

$$F_{north}=135 + 120=255\space N$$

Step2: Calculate the net force

The south - ward force is the force of friction \(F_{south} = 210\space N\). Net force \(F_{net}=F_{north}-F_{south}\)

$$F_{net}=255 - 210=45\space N$$

Since \(F_{north}>F_{south}\), the direction is north.

Answer:

45 N north