A solid sphere of mass 1.45 kg and radius12 cm rests on two parallel rails that

Question

A solid sphere of mass 1.45 kg and radius12 cm rests on two parallel rails that are 6cm apart and L =70cm.  The sphere carries a current of 3.8amps from one side to the other and rolls along the rails without slipping. A uniform B field of 2.1Teslas is directed perpendicular to the sphere.  If it starts from rest, what is its speed as it leaves the rails and the time required to make this journey?[Assume that you can use the equation F =ilB for the sphere where l = 2R] A solid sphere of mass 1.45 kg and radius12 cm rests on two parallel rails that are 6cm apart and L =70cm.  The sphere carries a current of 3.8amps from one side to the other and rolls along the rails without slipping. A uniform B field of 2.1Teslas is directed perpendicular to the sphere.  If it starts from rest, what is its speed as it leaves the rails and the time required to make this journey?[Assume that you can use the equation F =ilB for the sphere where l = 2R]

Explanation / Answer

As we know that

F = BIl

Here

l = 2R

Therefore

F = 2BIR

Acceleration , a = 2BIR/m

= (2*2.1*3.8*0.12)/1.45

= 1.3208 m/sec^2

v^2 - u^2 = 2aL

Therefore

v = sqrt(2aL)

= sqrt(2*1.3208*0.70)

= 1.359 m/sec

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.