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When two perpendicular forces 9.0 N (tow...

When two perpendicular forces 9.0 N (toward positive x) and 7.0 N (toward positive y) act on a body of mass 6.0 kg, what are the (a) magnitude and (b) direction of the acceleration of the body ?

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To solve the problem, we will follow these steps: ### Step 1: Identify the Forces The two forces acting on the body are: - \( F_1 = 9.0 \, \text{N} \) (toward positive x-axis) - \( F_2 = 7.0 \, \text{N} \) (toward positive y-axis) ### Step 2: Calculate the Resultant Force ...
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Knowledge Check

  • A body of mass 5kg is acted upon by two perpendicular force 8N and 6N, find the magnitude and direction the acceleration

    A
    `3 ms^(-2), theta=cos^(-1)(0.8) " from "8 m`
    B
    `2 ms^(-2), theta=cos^(-1)(0.6) " from "6 m`
    C
    `3 ms^(-2), theta=cos^(-1)(0.9) " from "6 m`
    D
    `5 ms^(-2), theta=cos^(-1)(0.81) " from "8 m`
  • The forces each of 20N act on a body at 120^(@) The magnitude and direction of resultant is

    A
    `20N,phi=60^(@)`
    B
    `20sqrt2N,phi=60^(@)`
    C
    `10sqrt2N,phi=0^(@)`
    D
    `10sqrt2N,phi=120^(@)`
  • A body of mass 10kg is acted upon by two perpendicular force, 6N . The resultant acceleration of the body is.

    A
    `1ms^(-2)` at an angle of `tan^(-1)(3/4)` w.r.t. `8N` force
    B
    `0.2ms^(-2)` at an angle of `tan^(-1)(3/4)` w.r.t. `8N` force
    C
    `1ms^(-2)` at an angle of `tan^(-1)(4/3)` w.r.t. `8N` force
    D
    `0.2ms^(-2)` at an angle of `tan^(-1)(4/3)` w.r.t. `8N` force
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