a force of 15 N accelerates an object by 5 m/s². What force is needed to give that same object an acceleration of 10 m/s²? ​Please show your solution below:​

Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The force acting on an object is given by

[tex]\boxed{F = ma}[/tex]

where:

F = force

m = mass

a = acceleration

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for m

F = ma

[tex]\dfrac{F}{a} = \dfrac{ma}{a}[/tex]

[tex]m = \dfrac{F}{a}[/tex]

[tex]m = \dfrac{\text{15 N}}{\text{5 m/}\text{s}^{2}}[/tex]

m = 3 kg

Solving for F

F = ma

F = (3 kg)(10 m/s²)

[tex]\boxed{F = \text{30 N}}[/tex]

Therefore, the force needed is 30 N.

[tex]\\[/tex]

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