A flat cushion of mass m is released from rest at the corner of the roof of a building, at height h . A wind blowing along the side of the building exerts a constant horizontal force of magnitude F on the cushion as it drops as shown in Figure P5.48. The air exerts no vertical force. (a) Show that the path of the cushion is a straight line. (b) Does die cushion fall with constant velocity? Explain. (c) If m = 1.20 kg, h = 8.00 m, and F = 2.40 N, how far from the building will the cushion hit the level ground? What If? (d) If the cushion is thrown downward with a nonzero speed at the top of the building, what will be the shape of its trajectory? Explain. Figure P5.48
A flat cushion of mass m is released from rest at the corner of the roof of a building, at height h . A wind blowing along the side of the building exerts a constant horizontal force of magnitude F on the cushion as it drops as shown in Figure P5.48. The air exerts no vertical force. (a) Show that the path of the cushion is a straight line. (b) Does die cushion fall with constant velocity? Explain. (c) If m = 1.20 kg, h = 8.00 m, and F = 2.40 N, how far from the building will the cushion hit the level ground? What If? (d) If the cushion is thrown downward with a nonzero speed at the top of the building, what will be the shape of its trajectory? Explain. Figure P5.48
Solution Summary: The author defines the acceleration of any object as the rate of change of the velocity on an object with respect to time.
A flat cushion of mass m is released from rest at the corner of the roof of a building, at height h. A wind blowing along the side of the building exerts a constant horizontal force of magnitude F on the cushion as it drops as shown in Figure P5.48. The air exerts no vertical force. (a) Show that the path of the cushion is a straight line. (b) Does die cushion fall with constant velocity? Explain. (c) If m = 1.20 kg, h = 8.00 m, and F = 2.40 N, how far from the building will the cushion hit the level ground? What If? (d) If the cushion is thrown downward with a nonzero speed at the top of the building, what will be the shape of its trajectory? Explain.
Jane needs to swing across a river filled with man-eating crocodiles in order to rescue Tarzan from danger. However, she must swing into a constant horizontal wind force, F, on a vine that is initially at an angle of ? with the vertical (see Fig. P5.73). Use these values to solve the problem: Jane's mass = 49.0 kg, Tarzan's mass = 80.0 kg, D = 50 m, F = 140 N, L = 40 m, ? = 24.6, and ? = 56.5°.
With what minimum speed must Jane begin her swing in order to just make it to the other side? If she can make it to the other side with zero initial speed, what is her final speed (enter this value with a negative sign)?______ m/s
Once the rescue is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they begin their swing? If they can make it to the other side with zero initial speed, what is their final speed (enter this value with a negative sign)?______ m/s
Jane needs to swing across a river filled with man-eating crocodiles in order to rescue Tarzan from danger. However, she must swing into
a constant horizontal wind force, F, on a vine that is initially at an angle of 0 with the vertical (see Fig. P5.73). Use these values to solve
the problem: Jane's mass = 47.0 kg, Tarzan's mass = 80.0 kg, D = 50 m, F = 92 N, L = 40 m, and 0 = 56°.
Wind
F
Tarzan
Figure P5.73
(a) What is the angle o, the final angle the vine makes with the vertical?
Jane
(b) with what minimum speed must Jane begin her swing in order to just make it to the other side? If she can make it to the
other side with zero initial speed, what is her final speed (enter this value with a negative sign)?
m/s
(c) Once the rescue is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they
begin their swing? If they can make it to the other side with zero initial speed, what is their final speed (enter this value with
a negative sign)?
m/s
skydiving tunnels have become popular attractions, appealing in part to those who would like a taste of skydiving experience but too overwhelmed by the fear of jumping out of plane at serveral thousand feet. skydiving tunnels are vertical wind tunnel through which air is blown at high speeds allowing visitors to experience body flight. jill decides to try a skydiving tunnel. inside the tunnel she changes her orientation anf for an instant her 68.9kg body momentarily experiences a upward force of air resistance of 455N. determine her acceleration during this moment in time. is it positve or negative?
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