An online video daredevil is filming a scene where he swings across a river on a vine. The safety crew must use a vine with enough strength so that it doesn't break while swinging. The daredevil's mass is 90.0 kg, the vine is 12.0 m long, and the speed of the daredevil at the bottom of the swing has been determined to be 7.00 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking
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- The diagram shows all the forces on an object with mass m = magnitude of the acceleration of the object? 89 kg. What is the 480 N Select one: O 9.4 m/s? 30° O 6.0 m/s? 3.0 m/s? 120 N O 4.5 m/s sine and cosine reversed. Check that you didn't get 11.5 m/s? 240 NYou are using a modified block and tackle pulley system to lift a concrete block. You need to lift the concrete block (mass=200kg) a distance of 5 meters upward. The system is designed to reduce the force loaded by a factor of 4. How much rope must you pull down on the other side of the pulley to lift the block the proper distance?A 38.0-kg child swings in a swing supported by two chains, each 3.08 m long. The tension in each chain at the lowest point is 420 N. (a) Find the child's speed at the lowest point. m/s (b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.) N (upward) Need Help? Read Master
- The Special Olympics raises money through “plane pull” events in which teams of 25 people compete to see who can pull a 74,000 kg airplane 3.7 m across the tarmac. The inertia of the plane is an issue—but so is the 14,000 N rolling friction force that works against the teams. If a team pulls with a constant force and moves the plane 3.7 m in 6.1 s (an excellent time), what fraction of the team’s work goes to kinetic energy and what fraction goes to thermal energy?A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.4 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 135 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.A light plane of mass 1000kg makes an emergency landing on a short runway. With its engine off, it lands on the runway at a speed of 40m⋅s-1 . A hook on the plane snags a cable attached to a 120kg sandbag and drags the sandbag along. If the coefficient of friction between the sandbag and the runway is µk = 0.4, and if the plane’s brakes give an additional retarding force of magnitude 1400N, how far does the plane go before it comes to a stop?
- A small object of mass 0.500 kg is attached by a 0.840 m-long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 8.80 m/s. What is the tension in the cord?The Special Olympics raises money through "plane pull" events in which teams of 25 people compete to see who can pull a 74,000 kg airplane 3.7 m across the tarmac. The inertia of the plane is an issue--but so is the 14,000 N rolling friction force that works against the teams.If a team pulls with a constant force and moves the plane 3.7 m in 6.1 s (an excellent time), what fraction of the team's work goes to thermal energy?A student is skateboarding down a ramp that is 6.02 m long and inclined at 22.3° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.98 m/s. Neglect friction and find the speed at the bottom of the ramp.
- The figure shows a block of mass m resting on a 20o slope. The block has coefficients of friction us=0.64 and uk=0.54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from rest?As a science fair project, you want to launch an 700 g model rocket straight up and hit a horizontally moving target as it passes 26.0 m above the launch point. The rocket engine provides a constant thrust of 17.6 N. The target is approaching at a speed of 17.0 m/s. # 3 E D 80 F3 C 4 R F 888 V % 5 F5 T G ^ 6 B ▼ Part A At what horizontal distance between the target and the rocket should you launch? Express your answer with the appropriate units. FO Provide Feedback Y Value Submit MacBook Air H HA & 7 N F7 Request Answer U ** → 8 Units DII FB 1 M wwww. ? ( 9 K DD O :) O F10 P F11 1In the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal as shown in (Figure 1). At the very top of his arc, a 70 kg vaulter is moving at 2.9 m/s and is 5.5 m from the bottom end of the pole. What is the magnitude of the vertical force that the pole exerts on the vaulter? Express your answer with the appropriate units.