A cart with mass Mcart 1392 plusminus 20 g is held on an in

A cart with mass M_cart = 1392 plusminus 20 g is held on an inclined track with a massless string. The Incline of the track is 9.0degree. All frictional forces can be neglected in this problem. The tension force in the string is measured using a force sensor on the cart that has a fractional measuring uncertainty of 5%. Which value for the measured magnitude of the tension force is consistent with expectation? A) 2.05 N B) 2.48 N C) 2.81 N D) 13.7 N E) None of the above

Solution

Here,

for the cart ,

let the tension in the cable is T

balancing forces parallel to the incline

T - m * g * sin(theta) = 0

T - 1.392 * 9.8 * sin(9) = 0

T = 2.13 N

Now , as there is 5 percent uncertainity

T = 2.03 - 2.24 N

the answer lying in this range is A) 2.05 N