[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The centripetal force exerted on an object is given by
[tex]\boxed{F_{c} = \frac{mv^{2}}{r}}[/tex]
where:
Fc = centripetal force
m = mass
v = velocity
r = radius
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for the centripetal force
[tex]F_{c} = \dfrac{mv^{2}}{r}[/tex]
[tex]F_{c} = \dfrac{(\text{2.5 kg})(\text{3.5 m/s})^{2}}{\text{4.0 m}}[/tex]
[tex]\boxed{F_{c} = \text{7.66 N}}[/tex]
Therefore, the force provided by the string is 7.66 N.
[tex]\\[/tex]
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