Physics Problems: Spacecraft Tether, Karate Fist Force, Sprinter Acceleration

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The provided physics problems involve scenarios such as astronauts using a tether in space, calculating forces on a karate fist, analyzing a sprinter's acceleration, and determining forces to pull a car from mud using ropes. Solutions require applying Newton's laws of motion and understanding concepts of mass, acceleration, and forces.


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  1. Astronauts use a tether to stay connected to the space capsule. Suppose that the mass of the space capsule is S = 11 000 kg and that the mass of the astronaut is A = 92 kg. In addition, assume that the astronaut exerts a force of P = +36 N on the spacecraft. Find the accelerations of the spacecraft and the astronaut.

  2. A person with a black belt in karate has a fist that has a mass of 0.70 kg. Starting from rest, this fist attains a velocity of 6.0 m/s in 0.15 s. What is the magnitude of the net force applied to the fist to achieve this?

  3. 1. A 63.0-kg sprinter starts a race with an acceleration of force on her? How does she get this force? . What is the net external

  4. 1. A 63.0-kg sprinter starts a race with an acceleration of force on him? How does she get this force? 2. If the sprinter from the previous problem accelerates at that rate for 20 m, and then maintains that velocity for the remainder of the 100-m dash, what will be his time for the race? . What is the net external

  5. Balancing Forces

  6. P32. Suppose your car was mired deeply in the mud and you wanted to use the method illustrated in Figure 4.36 to pull it out. (a) What force would you have to exert perpendicular to the center of the rope to produce a force of 12,000 N on the car if the angle is 2.00 ? In this part, explicitly show how you follow the steps in the Problem-Solving Strategy for Newton s laws of motion. (b) Real ropes stretch under such forces. What force would be exerted on the car if the angle increases to 7.00 and you still apply the force found in part (a) to its center?

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