An object of mass $m = 20 k g$ $m=20kg$ is pushed by four forces; east by a $10 N$ $10N$ force, west by a $30 N$ $30N$ force, south by a $20 N$ $20N$ force and north by $20 N$ $20N$ force. What is the magnitude of the acceleration of the object?

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An object of mass $m = 20 k g$ $m=20kg$ is pushed by four forces; east by a $10 N$ $10N$ force, west by a $30 N$ $30N$ force, south by a $20 N$ $20N$ force and north by $20 N$ $20N$ force. What is the magnitude of the acceleration of the object?

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Answer 1 · 2017-06-08T17:17:24

Let the object be located at the origin of coordinate system.
It is being acting upon by four forces
East by $10 N$ $10N$ ,
West by $30 N$ $30N$ ,
South by $20 N$ $20N$ , and
North by $20 N$ $20N$

Net force acting on the object can be written as

${\to F}_{net} = 10 ˆ i - 30 ˆ i - 20 ˆ j + 20 ˆ j$ $vecF_"net"=10hati-30hati-20hatj+20hatj$
${\to F}_{net} = - 20 ˆ i$ $vecF_"net"=-20hati$

Using Newton's Second Law of motion we get acceleration

$\to a = \frac{{\to F}_{net}}{m}$ $veca=vecF_"net"/m$
$\to a = \frac{- 20 ˆ i}{20}$ $veca=(-20hati)/20$
$∣ ∣ \to a ∣ ∣ = 1 m s^{- 2}$ $|veca|=1ms^-2$

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An object of mass $m = 20 k g$ $m=20kg$ is pushed by four forces; east by a $10 N$ $10N$ force, west by a $30 N$ $30N$ force, south by a $20 N$ $20N$ force and north by $20 N$ $20N$ force. What is the magnitude of the acceleration of the object?

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An object of mass m=20kgm=20kgm=20kg is pushed by four forces; east by a 10N10N10N force, west by a 30N30N30N force, south by a 20N20N20N force and north by 20N20N20N force. What is the magnitude of the acceleration of the object?

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An object of mass $m = 20 k g$ $m=20kg$ is pushed by four forces; east by a $10 N$ $10N$ force, west by a $30 N$ $30N$ force, south by a $20 N$ $20N$ force and north by $20 N$ $20N$ force. What is the magnitude of the acceleration of the object?