(а) (b) Fnet (N) 500- 400 - Dancer begins 300 |bending knees./ 200- Dancer leaves ground. 100 - 0- t (s) 0.10 0.30 / 0.50 0.70 - 100 - -200 -300 FIGURE P9.84 -400 -
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Understanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move.
To the nearest m/s, how fast is the dancer moving when she leaves the floor?
A. 1 m/s B. 2 m/s C. 3 m/s D. 4 m/s
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- The Gravitron ride has people step in, lean against a wall and “stick” when it spins and the floor drops out after a certain velocity. A rider has a mass of 50kg. The coefficient of static friction of the body against a wall is 0.8. The diameter of the ride is 10m. What is the maximum period of the ride’s rotation that will keep the student pinned to the wall once the floor drops?At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 2.72 m/s, and an 82.0-kg person feels a 276-N force pressing against his back. What is the radius of a chamber?9. A puck of mass, m, is attached to an elastic cord of unstretched length, L. The cord obeys Hooke's law and has a spring constant, k. The puck rests on a horizontal frictionless table and is swung around with constant angular velocity, o. Find an expression for the displacement of the elastic cord in terms of k, m, @, and L. Answer 9:
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- e Calculate the centripetal force on the end of a 122-m (radius) wind turbine blade that is rotating at 0.5 rev/s. Assume the mass is 6 kg. F₁ = Question Help: Submit Question Read 1 Hint 1 Read 2Understanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move. At what time does the dancer reach the lowest point of her motion, when her speed is zero?A. 0.20 sB. 0.40 sC. Between 0.40 s and 0.70 sD. After 0.70 sUnderstanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move. What is the approximate net impulse on the dancer, from the moment she begins bending her knees to the instant she leaves the floor?A. 15 kg • m/s2 B. 30 kg • m/s2C. 60 kg • m/s2 D. 90 kg • m/s2
- Understanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move. The sauté demi plié begins with a phase in which the net force on the dancer is negative. During this phase of the jump,A. The normal force of the floor on her is zero.B. The normal force of the floor on her is less than her weight but greater than zero.C. The normal force of the floor on her is equal to her weight.D. The normal force of the floor on her is greater than her weight.If an astronaut on the International Space Station accidentally left a wrench in space, the wrench would burn up as it re-entered the Earth's atmosphere, long before it hit the Earth. This question is about what would happen before that. Figure 1 Before After A wrench with a mass of 0.29 kg began at rest at a distance of d1 = 4.12 x 10° meters from the center of the Earth. The wrench then began falling toward Earth. Sometime later, the wrench was at a distance of d2 = 3.98 x 10° meters from the center of the Earth. Assume that the only significant force acting on the wrench was the gravitational force exerted by the Earth. The mass of the Earth is 5.97 x 1024 kg. Newton's gravitational constant is G = 6.67 x 1011 m³/(kg s²) (the denominator is kilograms to the first power times seconds squared) Calculate the speed of the wrench in units of meters per second when it is at a distance d2 from the center of the Earth.Use g = 10 m/s/s in the following problems. A). A 250 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark and hang 100 grams at the 40 cm mark. How much mass must you hang at the 90 cm mark to balance the system? B). A 250 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark, hang 100 grams at the 40 cm mark and hang 200 grams at the 30 cm mark. How much mass must you hang at the 90 cm mark to balance the system?