During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?

During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?

Name: During the siege of Constantinople that led to its conquest by the Ot
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: During the siege of Constantinople that led to its conquest by the Ottomans in 1453, theHungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stonesat the city to breach its walls. The largest of these could throw a 3

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Galileo's Martian descendants find that when they release balls down ramps to fly off tables that…

Q: The elevations of the ski jumping hill shown below are as follows: hA = 46 m hB = 2.4 m hC =…

Q: A rock is thrown straight up into the air from a height of 5 feet, at an initial velocity of 12…

Q: A circus man is shot out of a cannon 500 meters above ground at a speed of 25 m/s at a launch angle…

A: Given data *The speed of the cannon is u = 25 m/s *The launch angle is θ=500 *The given time is t =…

Q: A few seconds after a plane took off it was hit by a missile launched from a distance on the ground.…

A: Given, The path of plane, y=0.0005x2 The path of missile, y2=160x The missile velocity in the…

Q: Find the speed and direction of an object with v,= 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from…

A: Given data: Vx = 2.0 cm/s Vy = 3.0 cm/s Required: The speed and direction of the object

Q: In 2007, Michael Carter (U.S.) set a world record in the shot put with a throw of 24.77 m. What was…

A: Given: Range of throw R = 24.77 m. initial height of shot h = 2.1 m. Angel of throw θ=38.0o

Q: An air cannon shoots an 8 lb pumpkin with an initial velocity of 68 m/s at an angle of 40° above the…

A: Total time= 8.92 s Horizontal distance =464.65 m Maximum height=97.47

Q: The cannon on a battleship can fire a shell a maximum distance of 32.0 km. Calculate the initial…

A: Maximum distance = R = 32 km = 32000 m

Q: Problem 1: An object is thrown off the top of a 6.2-m tall building with a velocity of 2.9 m/s at an…

A: When an object is thrown obliquely near the Earth's surface, it moves in a curved path. The object…

Q: A home run is hit in such a way that the baseball just clears a wall 10 m high, located 136 m from…

Q: The elevations of the ski jumping hill shown below are as follows: hA = 46 m hB = 2.4 m hC = 6.8 m…

Q: A boy is standing from the top of a cliff 8 m from the ground and he has a bow which is aimed 40…

Q: 4. A lifeguard is standing on the beach 15 meters from the water when she spots a nonswimmer 15…

A: Given: h=15m, u=5m/s, v=2m/s, d=100m (a) The time taken by the lifeguard to reach the point on…

Q: A spring gun at ground level fires a golf ball at an angle of 45°. The ball lands 10 m away. a) What…

Q: What is the initial speed of the mouse in meters per second?

A: Concept: A push or pull upon an object resulting from the objects interaction with another object is…

Q: Consider a projectile being launched with an initial speed of 58 m/s at a variety of initial angles.…

Q: In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what…

A: Given: Hight of wolverine when thrown h=2.17 m The angle of the throw: θ=33.2° Initial release…

Q: people love to play with balls nowadays especially during quarantine as theres not much to do. lets…

A: (a) Given: The final speed of the first ball is 4 ms. The final speed of the second ball is 3 ms.…

Q: A golf coach is showing her athletes how to hit a golf ball from the ground. Using her driver, she…

A: A. How long is the ball in the air before it first hits the ground?In the given parametric…

Q: In the sport of billiards, event organizers often remove one of the rails on a pool table to allow…

Q: A very bored 318 kg bear decides to jump across a stream. The stream is 6 m wide and the east bank…

A: First, we need to identify the variables from the problem. The bear's initial velocity vi is given…

Q: An elevator starts from the ground floor and moves up with a constant speed of 4 m/s. If a bolt…

A: Given: u=4m/s, t=2s A) The distance traveled by the lift (and bolt) in 2s is : d=ut=8m As the bolt…

Q: You are trying to throw your keys up to your friend who is in a 2nd story window. You stand 15 feet…

Q: On a dare from a friend, you decide to try to jump a canyon using your bicycle as shown in the…

Q: 1. In this problem we ignore air resistance. When a glass slides off a horizontal countertop with a…

A: Given, Speed, v=2.10m/s Time, t=0.5s Horizontal acceleration will be zero. Vertical acceleration,…

Q: cupid is a friend of O'Malley and took exception to the tow sots, so he flew off and landed on a…

A: H = 125 m Φ = 37 ⁰ V = 65 m/s

Q: Daniel takes his two dogs, Pauli the Pointer and Newton the Newfoundland, out to a field and lets…

Q: A student standing on a cliff throws a rock from a vertical height of d=8.0m above the level ground…

A: The student throws the rock from the vertical height 8.0 m above the ground. The initial velocity of…

Q: In 1939 or 1940, Emanuel Zacchini took his human-cannonball act to an extreme: After being shot from…

A: The time required to travel the horizontal range 26m is

Q: You are designing an artillery system with the aim of hitting a target 20 km away with two shells at…

A: Given data: A projectile motion Horizontal Range (R) = 20 km = 20000 m Angle (θ) = 50°, with the…

Q: The elevations of the ski jumping hill shown below are as follows: hA = 49 m hB = 3.5 m hc = 5.2 m…

A: GivenhA=49 mhB=3.5 mhc=5.2 mvB=25.4 m/s

Q: In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what…

Q: vo Jewell threw a ball into the air in the direction of a wall that was a distance d = 8.4 meters in…

A: Given Information:- Distance of the wall from Jewell is d=8.4 m Initial height of the ball is h=1.7…

Q: A block is launched up a frictionless (Thea)=20.4° incline. The block travels 2.78 meters up (along,…

Q: A hunter spots a duck flying a given distance, h, above the ground (in meters) and shoots at it with…

A: Please see the attached images for the solution. If there are queries or if the images are not…

Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the
Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones
at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2
km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in
the absence of air resistance, this gives the largest range.
a) What speed did the stone have to be launched at to achieve this range?
b) How long was the ball in the air?
c) How fast was the ball traveling at the apex of its flight?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2: Part(a): Calculating the launching speed of the stone

VIEW

Step 3: Part(B): Calculating the time

VIEW

Step 4: Part (C): Speed of the ball at the apex of its flight

VIEW

Step 5: Conclusion

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A projectile launcher is clamped to a bench with the muzzle 0.85 m from the floor. It launches a small ball at an angle of 35° with a velocity of 15.5 m/s. The ball travels freely until it eventually hits the floor, assuming no air resistance or draughts calculate the following: a) The time it takes to reach its maximum height. b) The maximum height of the ball above the floor. c) The total time the ball spent in the air d) The total distance travelled horizontally by the ball from the end of the muzzle to its first impact with the floor.
During a recent winter storm, bales of hay had to be dropped from an airplane to a herd of cattle below. Assume the airplane flew horizontally at an altitude of 172 m with a constant velocity of 58.0 m/s and dropped one bale of hay every 4.0 seconds. It is reasonable to assume that air resistance will be negligible for this situation. About how far apart from each other will the bales land on the ground? Answer: m (rounded to the nearest whole number)
A spider crawling across a table leaps onto a magazine blocking its path. The initial velocity of the spider is 0.860m/s at an angle of 40degrees above the table, and it lands on the magazine 0.0760s after leaving the table. Ignore air resistance. How thick is the magazine? Express your answer in millimeters.
In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what was called a fastball special. Suppose Colossus throws Wolverine at an angle of 0 = 33.2° with respect to the ground (see figure below). Wolverine is d = 2.05 m above the ground when he is released, and he leaves Colossus's hands with a speed of v, = 21.5 m/s. (a) Using conservation of energy and the components of the initial velocity, find the maximum height attained by Wolverine during the flight. (b) Using conservation of energy, what is Wolverine's speed the instant before he hits the ground? m/s
In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what was called a fastball special. Suppose Colossus throws Wolverine at an angle of 8 = 23.0° with respect to the ground (see figure below). Wolverine is d = 2.08 m above the ground when he is released, and he leaves Colossus's hands with a speed of v, = 17.1 m/s. (a) Using conservation of energy and the components of the initial velocity, find the maximum height attained by Wolverine during the flight. (b) Using conservation of energy, what is Wolverine's speed the instant before he hits the ground? m/s
A stunt car leaves a 15° upward ramp at 35. The car jumps over a ravine and lands on the other side at 5 m S below the height from which it was launched. a) What is the maximum width of the ravine? (Answer: 77.5 m) b) What is the impact velocity of the car in magnitude and angle? (Answer: 36@21° below x)
Learning Goal: To set up and evaluate the equations of motion in a normal-tangential coordinate system. A car of weight 3850 lb is traveling around a curve of constant curvature p.(Figure 1) Figure +- P 1 of 1 Part A - Finding the net friction force The car is traveling at a speed of 75.5 ft/s , which is increasing at a rate of 4.15 ft/s², and the curvature of the road is p = 610 ft. What the magnitude of the net frictional force that the road exerts on the tires? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) F = Submit @max= Submit Part B - Finding the maximum allowable acceleration Value Suppose that the tires are capable of exerting a maximum friction force of 3360 lb. If the car is traveling at 77.5 ft/s and the curvature of the road is p = 410 ft, what is the maximum tangential acceleration that the car can have without sliding? Express your answer to three significant figures and include the appropriate units. ►View…
Kara is setting up a tee-shirt cannon for a community event. The angle of the cannon can be adjusted, but all projectiles leave the cannon at 25 meters per second. If Kara sets the angle of 20 degrees above the cannon to be above horizontal, what will be the range of the projectiles?
Based on a grade 11 physics student, answer the following question: A poké-ball rolls off Ash’s table with a velocity of 1.93 m/s [horizontally]. The tabletop is 76.5 cm above the floor. If air resistance is negligible, determine how long the poké-ball is airborne the horizontal range (distance) the velocity at impact
Needs Complete typed solution with 100 % accuracy.
A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a ramp of 27.7 degrees at a speed of 42.3 m/s. What would be the largest number of buses he can clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 10.0 m long? Use g = 9.8 m/s?. Your answer should be in the form of an integer number (e.g., 3 buses, not 3.4 buses).
As shown in the figure, a man throws a ball with an initial velocity of v=25m/s making an angle of 0 = 37° with the horizontal. If it is known that, the ball v25mis hits on the inclined surface after 4 seconds at point B, (a) Find the angle a of the inclined surface. (b) Find the final velocity of the ball, as it hits on the inclined plane. (c) Find the angle between the inclined surface and the final velocity at the instant of contact. A 60m 8.