pring MSRP e Cholce: Each problem is worth 3 points 1. From a graph, the best-fi

Question

pring MSRP e Cholce: Each problem is worth 3 points 1. From a graph, the best-fit line has a slope of 1.69 m/s and a y-intercept of 0.25 m/s. The worst-fit line has a slope of 1.75 m/s? and a y-intercept of o.27 m/s. What is the uncertainty for the slope of the line? a. 0.06 m/s . 1.69 m/ . 1.75 m/s In the Newton's 2nd Law experiment, for the graph of W2 vs. acceleration, the y-intercept of the d. 3.44 m/s best-fit line represents which of these physical quantities? a. force of friction of the systenm c. d. total mass of the system acceleration b. initial velocity The equilibrant force is- the resultant force. a. opposite in direction to b. inthe same direction as c perpendicular to You have two forces applied to an object: F-298 N @ 85° and F2-459 N @ 117°, both measured from the +x-axis. What is the magnitude and direction of a third force needed to bring these two forces into equilibrium? a. 729 N b. 729 N 284.5 104.5° c. 547 N @57 d. 547 N 237.0 In the Uniform Circular Motion lab, the period for a complete cycle was measured for a mass spun at a constant speed about a fixed radius and with a constant centripetal force, Fe If the radius was increased in increments, while the force and mass remained constant, the period of a complete cycle is expected to_ a. increase b. remain the same c. decrease In the Uniform Circular Motion lab, we manipulated the equation v-F. t /m. If we kept the mass and force constant and varied r, what would be the expected slope of a line for v vs.? a. Fe r/m b. F/m c. r/m A projectile is fired at an angle above the horizontal. The y-axis component of its velocity, v as it travels through its trajectory. a. changes due to the effects of gravity c is always zero b. d. is always equal to v remains the same A ballistic pendulum with a mass of 165 grams is at rest. The vertical distance from its pivot point to its center of gravity is found to bel 0.246 m. When a 39-gram ball is fired into the pendulum, he average angle between its initial position and its final position is measured to be 290. What is maximum vertical height that the pendulum rose to, from its initial position to its final position? 0.045 m Cannot be determined. c. 0.216 m 0.030 m d.

Explanation / Answer

Q4.

Forces to be in equilibrium

Fnet = 0

F1 + F2 + F3 = 0

F3 = -(F1 + F2)

F1 = 298 N @ 85 deg

F1x = 298*cos 85 deg = 25.97 N

F1y = 298*sin 85 deg = 296.87 N

F2 = 459 N @ 117 deg

F2x = 459*cos 117 deg = -208.38 N

F2y = 459*sin 117 deg = 408.97 N

So

-(F1 + F2) = -[(25.97 - 208.38) i + (296.87 + 408.97) j]

F3 = 182.41 i - 705.84 j

|F3| = sqrt (182.41^2 + 705.84^2) = 729.02 N

Direction = arctan (705.84/182.41) = 75.51 deg Clockwise from x-axis = 360 - 75.51 = 284.49 deg Counter-Clockwise from x-axis

Correct option is C.

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