A dart is loaded into a spring-loaded toy dart gun by pushing the spring in by a distance d. For the next loading, the spring is compressed a distance d/2. How much work is required to load the second dart compared to that required to load the first?
1.two times as much
2.the same
3.half as much
4.one-fourth as much
4
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Indicate whether the statement is true or false
A string is wrapped tightly around a fixed pulley that has a moment of inertia of 0.0352 kg ? m2 and a radius of 12.5 cm. An object of mass of 423 g is attached to the free end of the string
With the string vertical and taut, the object is gently released so it can descend doe to the gravitational force exerted on it by Earth. As the object descends, the string unwinds and causes the pulley to rotate, but does not slip on the pulley. What is the speed of the object after it has fallen through 1.25 m? A) 2.00 m/s B) 2.28 m/s C) 1.97 m/s D) 3.94 m/s E) 4.95 m/s
Conservation of Momentum: A dinner plate falls vertically to the floor and breaks up into three pieces, which slide horizontally along the floor. Immediately after the impact, a 320-g piece moves along the +x-axis with a speed of 2.00 m/s and a 355-g piece moves along the +y-axis with a speed of 1.50 m/s. The third piece has a mass of 100 g. In what direction relative to the +x-axis does the third piece move?
A. 216.9° from the +x-axis B. 219.8° from the +x-axis C. 36.9° from the +x-axis D. 39.9° from the +x-axis E. 39.8° from the +x-axis
An 8.0 kg object has a moment of inertia of 1.00 kg 
What torque is needed to give the object an angular acceleration of 1.5 
A. 3.0 N•m B. 2.5 N•m C. 2.0 N•m D. 1.5 N•m E. 1.0 N•m