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 86.0 kg, the vine is 11.0 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?

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?

In the figure, body A has a mass of 4 kg and body B has a mass of 3 kg. The mass of the pulleys and ropes is neglected. What will be the speed of an object with a mass of 3 kg 2 seconds after the moment the bodies are released? What will be the tension in the rope carrying body B? Take gravity as 10 N / kg.

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 1

In 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.