one afternoon a couple walks 7/8 of the way around a circular lake, the radius of...

one afternoon a couple walks 7/8 of the way around a circular lake, the radius of which is 1.65km. they start at the west side of the lake and the head die south to begin with.

a. what is the distance they travelled?

b. what are the magnitude and direction (relative to due east) of the couples displacment?

Expert Solution

genius_generous answered 2 years ago

A skater glides along a circular path of radius 7.40 m. 1-If he coasts around one...

A skater glides along a circular path of radius 7.40 m. 1-If he coasts around one half of the circle, find the magnitude of the displacement vector. 2-What distance has the person skated? 3-If the skater coasts only around 73 degrees of the circle, find the magnitude of his displacement vector. 4-What distance has he skated in this case? 5-What is the magnitude of the displacement if he skates all the way around the circle?

A satellite in a circular orbit around the earth with a radius 1.011 times the mean...

A satellite in a circular orbit around the earth with a radius 1.011 times the mean radius of the earth is hit by an incoming meteorite. A large fragment (m = 81.0 kg) is ejected in the backwards direction so that it is stationary with respect to the earth and falls directly to the ground. Its speed just before it hits the ground is 361.0 m/s. Find the total work done by gravity on the satellite fragment. RE 6.37·103 km;...

The radius of the Earth’s orbit around the sun (assumed to be circular) is 1.50∙108 km,...

The radius of the Earth’s orbit around the sun (assumed to be circular) is 1.50∙108 km, and the Earth travels around this obit in 365 days. The mass of the Earth is 5.98·1024 kg, and mass of the Sun is 1.99∙1030 kg. (a) What is the magnitude of the orbital velocity of the Earth, in m/s? (b) What is the radial acceleration of the earth toward the sun, in m/s2? (c) What is the magnitude of centripetal force acting on...

A runner sprints around a circular track of radius 130 m at a constant speed of...

A runner sprints around a circular track of radius 130 m at a constant speed of 7 m/s. The runner's friend is standing at a distance 260 m from the center of the track. How fast is the distance between the friends changing when the distance between them is 260 m? (Round your answer to two decimal places.) m/s

A particle of mass m orbits around the origin (0,0) in a circular path of radius...

A particle of mass m orbits around the origin (0,0) in a circular path of radius r. (a) Write the classical Hamiltonian (energy) of this system in terms of angular momentum of the particle. (b) Write the Schrodinger equation for this system. (c) Find the energy eigenvalues and their corresponding (normalized) wavefunctions.

A submerged circular disk with a radius of 8 meters is oriented vertically such that the...

A submerged circular disk with a radius of 8 meters is oriented vertically such that the top is 4 meter beneath the surface of the water. Find the hydrostatic force on one side of the disk.

One way to implement a queue is to use a circular linked list. In a circular...

One way to implement a queue is to use a circular linked list. In a circular linked list, the last node’s next pointer points at the first node. Assume the list does not contain a header and that we can maintain, at most, one iterator corresponding to a node in the list. For which of the following representations can all basic queue operations be performed in constant worst time? Justify your answers. Maintain an iterator that corresponds to the first...

Charlie and Alexandra are running around a circular track with radius 60 meters. Charlie started at...

Charlie and Alexandra are running around a circular track with radius 60 meters. Charlie started at the westernmost point of the track, and, at the same time, Alexandra started at the northernmost point. They both run counterclockwise. Alexandra runs at 4 meters per second, and will take exactly 3 minutes to catch up to Charlie. Impose a coordinate system with units in meters where the origin is at the center of the circular track, and give the x- and y-coordinates...

A rocket with mass 5.00×103 kg is in a circular orbit of radius 7.30×106 m around...

A rocket with mass 5.00×103 kg is in a circular orbit of radius 7.30×106 m around the earth. The rocket's engines fire for a period of time to increase that radius to 8.70×106 m , with the orbit again circular. A)What is the change in the rocket's gravitational potential energy? Does the potential energy increase or decrease? B) How much work is done by the rocket engines in changing the orbital radius

1. Khalif runs a full lap around a circular track of radius 20 m in 100...

1. Khalif runs a full lap around a circular track of radius 20 m in 100 s. What is the magnitude of his average velocity? 2. A 10 Newton force is needed to move an object with a constant velocity of 5.0 m/s. What power must be delivered to the object by the force? 3. A ball is kicked horizontally with an initial speed of 8.0 m/s from the edge of a cliff. A stop watch measures the ball’s trajectory...

Question