Answer:
Explanation:
According to newton's law , force between mass m₁ and m₂ at distance x is given by the following expression
F = G m₁m₂ / x²
differentiating F with respect to x , we have
dF / d x = ₋2G m₁m₂ / x³ .
Rate of reduction of force ∝ 1 / x³
The time it takes the baton to complete one spin will be 0.56 s. Option B is correct.
<h3>What is centripetal acceleration?</h3>
The acceleration needed to move a body in a curved way is understood as centripetal acceleration.
The direction of centripetal acceleration is always in the path of the center of the course. The total acceleration is the result of tangential and centripetal acceleration.
The entire question is;
"How long does it take the baton to complete one spin?
A twirler’s baton is 0.76 m long and spins around its center. The end of the baton has a centripetal acceleration of 47.8 m/s2.
a.0.31 s
b.0.56 s
c.4.3 s
d.70 s"
The given data in the problem;
Length of baton,L = 0.76 m
Centripetal acceleration,
The centripetal acceleration is found by;

Substitute the given value:

The time it takes the baton to complete one spin will be 0.56 s.
Hence option B is correct.
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An electric motor converts electrical energy into mechanical energy.
What is electric motor?
An electric motor is an electrical machine that converts electrical energy into mechanical energy.
A generator is mechanically identical to an electric motor, but operates with a reversed flow of power
Hence it will convert mechanical energy into electrical energy.
Some applications of electric motor are:
Industrial fans, blowers and pumps, machine tools, household appliances, power tools, vehicles, and disk drives.
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Magnetic fields and electric fields are similar on the basis of the forces and its application.
<h3>What is an electric field?</h3>
An electric field is an electric property that is connected with any location in space where a charge exists in any form. The electric force per unit charge is another term for an electric field.
Magnetic and electric fields have certain similarities, are as follows;
1. Both the electric force and magnetic forces are the non-contact forces.
2. Both acts between the two entity having certain mass.
3. Both have their respective ranges.
Hence, magnetic fields and electric fields are similar on the basis of the forces and its application.
To learn more about the electric field, refer to the link;
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