The distinction between mass and weight was discovered after Jean Richer transpo

Question

The distinction between mass and weight was discovered after Jean Richer transported pendulum clocks from Paris to French Guiana in 1671. He found that they ran slower there quite systematically. The effect was reversed when the clocks returned to Paris. Suppose you weigh 108.0 pounds in Paris. How much weight would you personally lose in traveling from Paris, where g = 9.8095 m/s^2, to Cayenne, where g = 9.7808 m/s^2? An iron bolt of mass 80.0 g hangs from a string 39.1 cm long. The top end of the string is fixed. Without touching it, a magnet attracts the bolt so that it remains stationary, displaced horizontally 21.0 cm to the right from the previously vertical line of the string. Draw a free-body diagram of the bolt. Do this on paper, but no need to turn it in) Find the tension in the string. Find the magnetic force on the bolt.

Explanation / Answer

2)

here

first the angle is

theta = cos^-1(0.21 / 0.391)

theta = 57.51 deg

then the tension in the string is

T = m * g / sin(theta)

T = 0.08 * 9.8 / sin57.51

T = 0.9295 N

b)

Fm = T * cos(theta)

Fm = 0.9295 * cos57.51

Fm = 0.4993 N

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