An object with mass 2.50 kg is moving along a circular path with a radius of 2.20m. At an instant when the speed of the object is equal to 3.50m/s and is changing at a rate of 5.40 m/s^2, calculate the magnitude of the total acceleration (in m/s^2) of the object. Round the answer to 3 decimal places.

An object with mass 2.50 kg is moving along a circular path with a radius of 2.20m. At an instant when the speed of the object is equal to 3.50m/s and is changing at a rate of 5.40 m/s^2, calculate the magnitude of the total acceleration (in m/s^2) of the object. Round the answer to 3 decimal places.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 31P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

See similar textbooks

Similar questions

In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 1.30 km and 25.0 south of west, then 5.10 km straight east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use a graphical method to find the castaway’s final position relative to the island.
The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the acceleration decreases as an object moves away from the Earth's surface due to the increase in distance from the center of the Earth. Derive an expression for the acceleration due to gravity at a distance h above the surface of the Earth, gh. Express the equation in terms of the radius R of the Earth, g, and h. 8h = Suppose a 70.00 kg hiker has ascended to a height of 1815 m above sea level in the process of climbing Mt. Washington. By what percent has the hiker's weight changed from its value at sea level as a result of climbing to this elevation? Use g = 9.807 m/s² and R = 6.371 × 106 m. Enter your answer as a positive value. weight change = %
An object moving at constant speed v around a circle of radius r has an acceleration a directed toward the center of the circle. The SI unit of acceleration is m/s2. If the speed is increased 19.0%, by what percentage does the radial acceleration increase?
An object moving at constant speed v around a circle of radius rhas an acceleration a directed toward the center of the circle. The SI unit of acceleration is m/s2. If the speed is increased 16.5%, by what percentage does the radial acceleration increase?
A car is traveling around a circular track of 720-ft radius. If the magnitude of its total acceleration is 4.4 ft/sec² at the instant when its speed is 33 mi/hr, determine the rate aț at which the car is changing its speed. Answer: aț = ± i ft/sec?
An astronaut is rotated in a horizontal centrifuge at a radius of 5.6 m. How many revolutions per minute are required to produce if the centripetal acceleration has a magnitude of 5.3g? ( g is the gravitational acceleration, g=9.80 m/s2. Your result must include one digit after the decimal point. Maximum of 5% of error is accepted in your answer. Take π=3.14)
A high-tech drone flies over Miami, FL in a direction 58.3° west of north with a speed of 30.2 km/h. Three hours later, the drone suddenly shifts due north, and its speed slows to 12.7 km/h. How far (in kilometers) from Miami, FL is the drone 4.50 h after it passes over the Miami. Round your answer to 0 decimal places.
A boat has an initial speed of 19 ft/s. It then increases its speed along a circular path of radius ρ = 80 ft at the rate of v˙=(1.4s)ft/s^2, where s is in feet. Determine the time needed for the boat to travel s = 70 ft.
The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the acceleration decreases as an object moves away from the Earth's surface due to the increase in distance from the center of the Earth. Derive an expression for the acceleration due to gravity at a distance h above the surface of the Earth, gh. Express the equation in terms of the radius R of the Earth, g, and h. &h= Suppose a 74.35 kg hiker has ascended to a height of 1893 m above sea level in the process of climbing Mt. Washington. By what percent has the hiker's weight changed from its value at sea level as a result of climbing to this elevation? Use g = 9.807 m/s² and R = 6.371 × 106 m. Enter your answer as a positive value. weight change = %
You hopefully used g=9.8 m/s2 (or thereabouts). That is the gravitational acceleration near the earth's surface. if you rise high above the earth, the gravitational acceleration decreases. Specifically, the gravitational acceleration is inversely proportional to the square of the distance from the earth's center. Equivalently, if you multiply the acceleration by the distance from the earth's center, you should get the same number for all heights. For this problem, take the radius of the earth as 3,902 miles, and calculate the gravitational acceleration of a satellite in low orbit, 182 miles above the surface.
The position of an object in circular motion is modeled by the given parametric equations, where t is measured in seconds. x=7sin((pi/8)t), y=-7cos((pi/8)t) How long (in sec) does it take to complete one revolution?
5. A particle moves counterclockwise on a circular path of 400 ft radius. It starts from a fixed point which is horizontally to the right of the center of the path and moves so that s=1012 + 20t where s is the arc distance in feet and t is the time in sec. Compute the x and y components of acceleration at the end of 3 sec.