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During a stage production of Peter Pan, the 53.5 kg actress playing Peter has to fly in vertically (descend). To be in time with the music, she must, starting from rest, be lowered a distance of 3.60 m in 2.12 s at a constant acceleration. Backstage, a smooth surface sloped at ? = 47.0° supports a counterweight of mass m, as shown in the figure below.
1) Calculate the mass of the counterweight that must be used.
2) Calculate the tension in the wire supporting the actor.
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50 g ball travelling at 25.0 m/s is bounced off a brick wall and rebounds at 22.0m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.51 ms, what is the average acceleration of the ball throughout this time inter..
The locomotive is moving at 25 km/h. The engineer of the high speed train immediately applies the brakes. What must be the magnitude of the resulting constant deceleration if a collision is to be just avoided.
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