Five children fight over a 2 kg toy truck. Sally pulls North with a force of 10 N, Ben pulls South with a force of 5 N, Casey pulls East with a force of 2 N, Dylan pulls East with 3 N, and Sammy pulls West with a 5 N force. What is the net force acting on the toy truck? What is its acceleration?

Explanation:

Note that the force along the North and east are positive while along the west and south are negative.

Taking the sum of force along the horizontal (East-west)

Sum of force along the east= 2N+3N = 5N

Sum of force along the west = 5N

Sum of the force = 5 - 5 = 0N

Taking the sum of force along the vertical(North-south)

Sum of force along the North= 10N

Sum of force along the south = 5N

Sum of the force 10 - 5 = 5N

Resultant force R = √0²+5²

R = √25

R = 5N

If the mass of the truck = 2kg

Acceleration of the truck = R/m

acceleration = 5/2

acceleration = 2.5m/s²

Hence its acceleration is 2.5m/s²

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