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3. What us measured inertial mass test object 4. Wat gravitational mass test obj

ID: 3279815 • Letter: 3

Question



3. What us measured inertial mass test object 4. Wat gravitational mass test object Please answe 1,2,3,4 and I give you full credit u nle tw bur dâlà and relate the slope of the line to m and the y-intercept to W. Newton's third law will be tested by connecting two force sensors together and measuring the force on each independently as various forces are applied by one sensor on the other Practice Consider a test object with a weight of 2.00 N, attached to a string (as described in the Theory" section) with a tension of 2.10 N that passes over an ideal pulley of radius 2.50 cm. The data logger only knows that the pulley is spinning, not how big it is, so it cannot measure how many meters/second2; it can only tell you only how many radians/second2 Thus the data logger is telling us the "angular acceleration" but we actually want "linear acceleration" so you have to multiply the data logger's value for acceleration by the radius of the pulley. radians/second2 x meters gives you meters/second2, which are the right units for linear acceleration, which is the usual acceleration that we've dealt with so far in this course. 1. What is the magnitude of the net force on the object? 2. If the pulley has an angular acceleration of 19.7 rad/s2 what is the magnitude of the linear acceleration of the test object?

Explanation / Answer

[1]

Net force on the object is the resultant of the two mutually opposite forces acting on the object i.e. weight of the object acting downwrds and Tension force in the string acting upwards. so,

Fresultant = T - W = 0.1 N

[2]

As mentioned in the question itself: (Linear acceleration) = (Anuglar acceleration)*(Radius of the pulley)

so, liner acceleration = (19.7)*(0.025) = 0.4925 m/s2

[3]

Inertial mass of the test mass is given by Minertial = (Fresultant ) / (linear acceleration)

so, inertial mass = (0.1)/(0.4925) = 0.2030 kg

[4]

Since gravitational mass and inertial mass are always equal, we can directly write Mgeavitational = 0.2030 kg

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