A body lets itself fall freely from the roof of a building, traveling halfway through the last second of its fall. How long does it take to fall?
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A body lets itself fall freely from the roof of a building, traveling halfway through the last second of its fall.
How long does it take to fall?
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- 1. A body falls vertically from the height h = 45 metres with its initial velocity equal to zero. What time will it take the body to travel the last 5 metres? Disregard the resistance of the air. g = 10You place a crate of mass 40.9 kg on a frictionless 2.64-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.52 s after you released it. What is the angle of the incline? 17.6 degrees 13.5 degrees 21.6 degrees 25.9 degreesYou place a crate of mass 43.2 kg on a frictionless 4.99-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.99 s after you released it. What is the angle of the incline? 17.9 degrees 14.9 degrees 20.9 degrees 25.1 degrees
- 9. A 100 kg man gets in an elevator on the 10th floor. He stands still on a scale, which is placed on the floor of the elevator, before the doors close, and the scale reads a value equal to his weight (the largest force of gravity on him). The doors close, and the elevator starts moving downward toward the 1st floor. The elevator speeds up until it reaches the 8th floor, at which point the elevator travels at a constant velocity, which it maintains until it reaches the 3rd floor, at which point it starts slowing down at a constant rate and stops by the time it reaches the 1st floor. Rank from greatest to least, the following quantities at following floors: 2nd, 5th, 9th. Explain your answers. (a) His mass (the question is asking for a ranking of the person's mass on the 2nd floor vs. the mass on the 5th floor vs. the mass on the 9th floor.) (b) His weight (c) Magnitude of normal force he exerts on the scale (d) Magnitude of normal force he exerts on the elevator floor.You place a crate of mass 20.3 kg on a frictionless 2.61-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.01 s after you released it. What is the angle of the incline? 37.7 degrees 31.4 degrees 44.0 degrees 57.2 degreesTwo fan carts are on parallel inclined tracks are facing opposite directions. At t=0, the carts are 2.88 m apart with the fans on and they are both given a sharp push toward each other against the direction the fans are pushing them. Cart A begins (after the push) with a speed of 1.35 m/s to the right and has an acceleration of 0.44 m/s? to the left. Cart B begins (after the push) with a speed of 1.05 m/s to the left and has an acceleration to the right of 0.52 m/s?. (Hint: Keep your positive and negative directions consistent for both carts.) A a) At what two times do the two cars pass each other? b) What are the two positions at which the cars pass each other? c) What is the velocity of each car when they pass each other? d) Graph the motion of each on the position vs. time graphs and velocity vs. time graphs on the next page. time (s) time (s) (w) uojiisod velocity (m/ş)
- You place a crate of mass 36.4 kg on a frictionless 3.71-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.56 s after you released it. What is the angle of the incline? 40.8 degrees 22.7 degrees 18.1 degrees 27.2 degrees5. A student throws a 0.1 kg ball into the air. (A) Just after the ball leaves their hand, it has a velocity of 5 m/s. (B) At the peak of its motion, it has a velocity of 2 m/s. Assuming no air resistance, to what height dịd the student throw the ball? Also, assume the ball started at h=0 (The zero-reference line is at the starting position of the ball). The energy chart is optional. KE- Vz- Poson A SystemFlow Poston KE- 1.2SJ@ A KE /2..1.2 KE- 0.25 @B Etr E, E Ea Et E, E En Energy Equation KETGPE = KE + GPE 6. A parachutist of mass 50.0 kg jumps out of a stationary balloon at a height of 1,000 meters. The system consists of the parachutist and the Earth, if the parachutist lands with a speed of 5.0 m/s, how much energy was transferred out of the system (so energy transferred to something else)? 7. Suppose the spring below has a spring constant of 50. N/m. The box has a mass of 8.0 kg and rests on a surface of negligible friction. In the diagram above, the spring was compressed 4.0 m.…An action figure is placed on a toy car, which is initially at rest. Then the action figure moves through 4 time intervals: The car is pushed until it hits a wall. Then, the action figure slides down a ramp. The action figure flies off of the ramp and hits a wall at the peak of its trajectory, momentarily coming to a complete stop. Finally, the action figure falls into the toybox and comes to rest. Assume that all surfaces, except the final wall, have nonzero coefficients of static and kinetic friction. For each time interval, including the endpoints, determine whether the total work done on the action figure by gravity (?g), normal forces (?N), and friction (?f) is positive, negative, or zero. Neglect drag. The motion of a toy army guy action figure is shown in four different time intervals. The toy is stiff and has a base for standing upright. During interval 1, shown in the upper left, the army guy stands upright upon a car initially at rest. The car is pushed to the right,…
- An action figure is placed on a toy car, which is initially at rest. Then the action figure moves through 4 time intervals: The car is pushed until it hits a wall. Then, the action figure slides down a ramp. The action figure flies off of the ramp and hits a wall at the peak of its trajectory, momentarily coming to a complete stop. Finally, the action figure falls into the toybox and comes to rest. Assume that all surfaces, except the final wall, have nonzero coefficients of static and kinetic friction. For each time interval, including the endpoints, determine whether the total work done on the action figure by gravity (?g),(Wg), normal forces (?N),(WN), and friction (?f)(Wf) is positive, negative, or zero. Neglect drag.Hanamichi Sakuragi finishes the game strong as he jumps up straight and slams-dunk the ball in the final battle between the Shohoku and Ryonan. To do this, Sakuragi lowers his body by 0.450 m and then accelerates through the distance by firmly straightening his legs. Sakuragi departs the floor with just enough vertical velocity to lift him 30 inches (average length to dunk a full-sized basketball) above the floor, allowing him to dunk the ball. (a) Determine his velocity as he departs the floor. (b) Determine his acceleration while straightening his legs. He travels 0.450 m from zero to the velocity determined in the first component of the problem. (c) Determine the force he applies on the floor to do this, considering Hanamichi Sakuragi's mass of 183 lbs.A 2 kg ball Is thrown straight into the air at 9 m/s. How high does it travel? Use g=9.8 m/s2