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3 years ago

Basing on Newton's second law of motion, if the force on an object is 20N and its mass 5 g, what is its acceleration?

1 answer:

4 0

According to Newton's second law of motion, acceleration of the object is directly proportional to the net force in the object. It is expressed as:

F = ma

where F is the net force, m is the mass of the object and a is the acceleration.

20N = 5/1000 kg (a)
a = 4000 m/s²

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Answer:

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(a) The emf of a rotating coil with N turns is given by:

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$emf_{max}=NBA\omega=(50)(1.80T)(0.200m*0.100m)(24.0rad/s)\\\\emf_{max}=43.20V$

(b) the maximum rate of change of the magnetic flux is given by:

$\frac{d\Phi_B}{dt}=\frac{d(A\cdot B)}{dt}=\frac{d}{dt}(ABcos\omega t)=AB\omega sin(\omega t)\\\\\frac{d\Phi_B}{dt}_{max}=(\pi(0.200*0.100))(1.80T)(24.0rad/s)=2.71\frac{W}{s}$

(c) $emf(t=0.050s)=(50)(1.80T)(0.200m*0.100m)(24rad/s)sin(24.0rad/s(0.050s))\\\\emf(t=0.050s)=40.26V$

(d) The torque is given by:

$\tau=NABIsin\theta\\\\NAB\omega=emf_{max}\\\\\tau=\frac{emf_{max}}{\omega}\frac{emf_{max}}{R}\\\\\tau=\frac{(43.20V)^2}{(24.0rad/s)(10.0\Omega)}=7.77Nm$

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