Suppose you are spinning a child around in a circle by her
arms. the radius of her orbit around you is 1 meter. her speed
is 1 m/s. her mass is 25 kg. the magnitude and direction of
tension in your arms towards her.

The direction of tension is "25 N" towards her.

Given values are:

Mass,

Velocity,

Radius,

As we know the formula,

→

By substituting the values, we get

→    

→    

→    

Thus the above answer is appropriate.

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25 N

Explanation:

Sum of the forces on the child in the radial direction:

∑F = ma

T = m v² / r

T = (25 kg) (1 m/s)² / (1 m)

T = 25 N

iron would move it is magnetic there is a mag field around the current in the wire