You are on the roof of a Physics Building, 41 m above the ground. Your physics professor, who is 1.62 m tall, is approaching the building at constant speed of 1.85 m/s. If you wish to drop an egg on his head, how far should your professor be when you release the egg?
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- An airplane is delivering food to a small island. It flies 100 mm above the ground at a speed of 140 m/sm/s .Where should the parcel be released so it lands on the island? Neglect air resistance.Your brother slides his glass of milk horizontally at a speed m of 0.8 at a frictionless table which is 1.3 m tall. You tried to catch it but missed such that the glass followed a curved path before it crashed on the floor. How far away from the edge of the table did the glass hit the floor?You are on the roof of the lecture hall, 51.8 m above ground. As your physics professor, who is 1.8 m tall, walks towards the hall at a constant speed of 1.2 m/s. If you wish to drop an egg on your professor's head, where should the professor be when you release the egg? Assume egg is in freefall and air resistance is ignored.
- A 5m tall elevator travels uniformly up an elevator shaft at 8m/s. At some point in time, a bolt falls from the top of the elevator and falls freely down the shaft. You can ignore the effect of air resistance. How many seconds after the fall will the bolt pass the bottom of the elevator?Io, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plumes of matter over 500 km high. Due to the satellite's small mass, the acceleration due to gravity on Io is only 1.81 m/s2and Io has no appreciable atmosphere. Assume that there is no variation in gravity over the distance traveled. a)What must be the speed of material just as it leaves the volcano to reach an altitude of 380 km? b)If the gravitational potential energy is zero at the surface, what is the potential energy for a 33 kg fragment at its maximum height (500 km) on Io? c)How much would this gravitational potential energy be if it were at the same height (500 km) above earth?In the vertical jump, an Kobe Bryant starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat Kobe as a particle and let ymax be his maximum height above the floor. Note: this isn't the entire story since Kobe can twist and curl up in the air, but then we can no longer treat him as a particle. Hint: Find v0 to reach y_max in terms of g and y_max and recall the velocity at y_max is zero. Then find v1 to reach y_max/2 with the same kinematic equation. The time to reach y_max is obtained from v0=g (t), and the time to reach y_max/2 is given by v1-v0= -g(t1). Now, t1 is the time to reach y_max/2, and the quantity t-t1 is the time to go from y_max/2 to y_max. You want the ratio of (t-t1)/t1 Note from Asker: I am generally confused on how to manipulate the formulas, so if you could show every step that would be great, Thank You. Part A Part complete To explain why…
- You are on the roof of the physics building, 50.0m above the ground. Your physics professor, who is 1.90m tall is walking alongside the building at a constant speed of 1.20 m/s. If you wish to drop an egg on your professor’s head, where should the professor be when you release the egg? Assume that the egg is in free fall.A cannon is on the edge of a vertical cliff 50 m high. The cannon then fires horizontally giving the cannon ball a speed of 420 m/s. What is the speed of impact (in m/s) of the cannon ball?A 5-kg block slides off the horizontal surface of a table with initial speed 1.45 m/s and hits the ground a horizontal distance 0.754 m from the table. How high is the table?
- You are playing Hot Rod toy cars with your nephew and niece. Your nephew wanted to show off how fast he could launch a Hot Rod off the dining table 1.0 m above the floor by thrusting the car forward very fast but was no match against your niece who compensated slight lack of speed by pushing the car straight forward reaching a speed of 4.5 m/s at the edge of the table top when she let go of it. What was the magnitude of the final speed when it hit the floor?You stand still and throw a ball straight upwards with an initial speed of 7.50 m/s. You then repeat this experiment while on a moving sidewalk that is moving horizontally with a speed of 0.500 m/s. How high does the ball go?The acceleration due to gravity on the surface of a planet depends on the mass and size of the planet; therefore, other planets will have accelerations due to gravity other than 9.8 m / s2. Imagine an astronaut standing on an alien planet, which has no atmosphere, and throws a stone with a velocity of 7.35 m / s in a horizontal direction, dropping it at a height of 1.40 m above the surface of the planet. The rock hits the surface at a horizontal distance of 9.50 m from the astronaut. Find the magnitude of the acceleration due to gravity, in m / s2, on this alien planet.