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Numerical from centre of mass

Two skaters, one with Mass 45kg, 2’nd with Mass of 65kg stand on an ice rink holding a pole with L=10m with negligible mass. starting from the ends of the pole, the skaters pull themselves along the pole until they meet. How far does the 45kg skater move?
Hint: They will meet at the centre of mass of the system.

If the 45 kg skater moves by x m, then the second one travels (10-x)m

then,

45 x = 65(10-x)

Solve and get the value for x

Is the acceleration due to gravity different in south pole and north pole

Mohak Tandon Asks – “

“Is the acceleration due to gravity different in south pole and north pole?”

Answer:

As per theory, acceleration due to gravity changes with altitude, depth and latitude.

If we consider that the variation of g with latitude is caused by rotation of earth only, then the value of g will be same for both north pole and south pole.

But, the change in the value of acceleration due to gravity with latitude is caused by the shape of earth too. So it depends your distance from the centre of earth when you are at north pole or south pole.

For calculations the polar radius is taken same at North as well as south pole. So, value of g can be taken the same for both poles.

how can you find the direction of a magnetic field at a given point in the magnetic line of force?

Fadzilah asks:

“How can you find the direction of a magnetic field at a given point in the magnetic line of force?”

Ans: The direction of the north pole of a magnetic needle on any magnetic line of force gives the direction of magnetic field at that point.

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