Draw a free-body diagram for each of the following objects: (a) a projectile in motion in the presence of air resistance, (b) a rocket leaving the launch pad with its engines operating, (c) an athlete running along a horizontal track.
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- A block on a horizontal frictionless surface with mass m=6.1 kg is connected to a 3.2 kg hanging mass by means of a light wire that passes over a frictionless pulley. Find the magnitude of the acceleration of the two blocks.Let's say an astronaut is walking on the moon and wants to test out some basic kinematics. Because there's no atmosphere, there's no air resistance, so the only thing that can cause an object to move faster on the moon is the moon's gravity. Let's say you have a hammer and a feather, each weighing 10.0 kg and 1.00 kg respectively. When you drop them from a height of 1.65 meters, they should both hit the ground at the same time. The gravity on the moon is around 1/6 of what it is on Earth, so you need to figure out how long it'll take for the hammer to reach the ground.Consider a person standing on a scale in an elevator. If the elevator accelerates upwards with an acceleration of 1.27 m/s2 and the person has a mass of 79.2 kg, what would the scale read? HINT: you need to take into account the acceleration due to gravity, as well as that of the elevator.
- Two buckets of sand hang from opposite ends of a rope that passes over an ideal pulley. Onebucket is full and weighs 120 N; the other bucket is only partlyfilled and weighs 63 N. (a) Initially, you hold onto the lighterbucket to keep it from moving. What is the tension in the rope?(b) You release the lighter bucket and the heavier one descends.What is the tension in the rope now? (c) Eventually the heavierbucket lands and the two buckets come to rest. What is the tension in the rope now? Show your work and explainTwo horizontal forces, and F₂, are acting on a box, but only is shown in the drawing. F₂ can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the surface. Suppose that F₁ = +4.6 N and the mass of the box is 3.6 kg. Find the magnitude and direction of F₂ when the acceleration of the box is (a) +6.9 m/s², (b) -6.9 m/s², and (c) 0 m/s². (a) F₂ (b) F₂ (c) F₂ || || = A i i i F₁ +XA skydiver, who weighs 687 N, is falling at a constant speed with his parachute open. Consider the apparatus that connects the parachute to the skydiver to be part of the parachute. The parachute pulls upward on the skydiver with a force of 620 N. Find the magnitude of the force on the skydiver due to the air. Needs Complete typed solution with 100 % accuracy.
- Consider a person standing on a scale in an elevator. If the elevator accelerates upwards with an acceleration of 1.47 m/s2 and the person has a mass of 98.1 kg, what would the scale read? HINT: you need to take into account the acceleration due to gravity, as well as that of the elevator.A block of mass m1 = 40 kg on a horizontal surface is connected to a mass m2 = 16.0 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.23. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? (b) Determine the magnitude of the tension (in N) in the cord above the hanging mass.An SUV containing 5 passengers has a mass of 3500 kg. It has a driving force of 2500 N directed west on a perfectly horizontal road. The surface of the road exerts a resistive force of 500 N due east. At the same time, a strong wind is blowing a force of 500 N due east in the opposite direction of the car's drive force. Does the car have any acceleration? If yes, then what is the magnitude and direction of the car's acceleration?
- A 60 kg block slides along the top of a 100 kg block. The lighter block has an acceleration of 3.8 m/s2 when a horizontal force F= 390 N is applied. Assuming there is no friction between the bottom 100 kg block and the horizontal frictionless surface but there is friction between the blocks. Find the acceleration of the 100 kg block during the time the 60 kg block remains in contact.In attempting to pass the puck to a teammate, a hockey player gives it an initial speed of 2.43 m/s. However, this speed is inadequate to compensate for the kinetic friction between the puck and the ice. As a result, the puck travels only one-half the distance between the players before sliding to a halt. What minimum initial speed should the puck have been given so that it reached the teammate, assuming that the same force of kinetic friction acted on the puck everywhere between the two players? Number Units