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In Physics / High School | 2014-05-26

Sophia exerts a steady 40 N horizontal force on an 8 kg box resting on a lab bench. The box slides against a horizontal friction of 24 N.

Show that the box accelerates at [tex]2 \, \text{m/s}^2[/tex].

Asked by boydfamily10

Answer (3)

Force = 40 - 24 = 16N.
Thus, Force = 16N.
By deducing Newton's second law of motion,
F = MA
16 = 8A
Thus, A = 16/8 = 2 m/s²
Thus, the object accelerates at 2m/s²

Answered by tadvisohil886 | 2024-06-10

Force = 40 - 24 = 16N
Force = mass / acceleration
Acceleration = Force / mass
Acceleration = 16 / 8
Acceleration = 2 m/s^2

Answered by wizard | 2024-06-24

The box accelerates at 2 m/s² when a 40 N force is applied, overcoming a frictional force of 24 N. The net force is calculated as 16 N, leading to the acceleration equation derived from Newton's second law. Thus, using the mass of the box (8 kg), the calculation confirms the acceleration is indeed 2 m/s².
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Answered by tadvisohil886 | 2024-10-30

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