The potential energy of two atoms in a diatomic molecule is approximated by U (r) = a/r12 – b/r°, where r is the spacing between atoms and a and b are positive constants. Part A Find the component of force along the line connecting the two atoms, F,(r), on one atom as a function of r. Express your answer in terms of the variables a, b, and r. F,(r) = Submit Request Answer Part B Find the equilibrium distance between the two atoms. Express your answer in terms of the variables a and b. ΑΣΦ Tmin = Submit Request Answer Part C Is this equilibrium stable? yes no Submit Request Answer

A plane flying at 78.2 m/s [W32°S] takes 42 seconds to change its velocity to 78.2 m/s [S32°E]. a) Solve for the change in velocity of the plane algebraically, resolving vectors into their x- and y-components. b) What was the average acceleration of the plane over this time interval? c) Explain why the speed of the plane didn't change and yet the plane underwent acceleration. Please label sketches with events as well as GRASS and explanations to show your work. Please label triangle sides. Remember to have the magnitude rounded to a reasonable number of sig figs, the unit and the direction (if needed) in your answers.

You drive 45 miles North, then 30 miles West, then 20 miles South.  How far are you from where you started?

Hello there. I noticed that the part c, d and e were not calculated. I figured out part A and B already but  am not sure  on what  equations shold be used for part C to calculate Q, W, and DU since the initial equation used /taught is du=q-w.

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 247 m, and the car completes the turn in 33.0 s. Need the answer for C in degree format not coordinates  An x y coordinate axis is shown. Point A is located at a negative value on the y-axis, and an arrow points from point A to the right. A dotted line curves up and to the right in a quarter circle until it reaches point C on the positive x-axis. An arrow points directly upward from point C. Point B is on the dotted circle. A line drawn from the origin to point B makes an angle of 35.0° below the x-axis.   (a) Determine the car's speed. ___________ (b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude       ___________ m/s2 direction _______________  ° counterclockwise from the +x-axis

Bruce begins 7 kilometers to the north of town and rides his bike along a straight trail which leads to a park 3km west of town. It takes him 20 minutes to cover this distance. Write a vector in component form that describes his ride while also finding the magnitude and direction of this vector. Also, find the component of Bruce's motion which is in the direction of SW using a unit vector that uses both forms of the dot product (algebraic and geometric), then write parametric equations expressing his motion with the town being represented by the origin and t=0 being his starting point. Using these equations, what is his position after 5 minutes? Then eliminate the parameter to get a rectangular equation for this linear path and verify algabraically amd graphically that this equation represents the line.

On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 880 km/h northwestward direction (i.e., midway between north and west). Find the components of its velocity. Enter the x and y components of the velocity separated by a comma. I understand the quadrant, and origin but not how to then figure components of airplane's velocity.  Can you simply get me up to the speed?

Hiker Harry walks 4 km east then 7 km 25o north of west. What is the magnitude and direction of Harry’s position after his hike as measured from his starting point? Give the angle measured relative to east. For example 90° means directly north.

Trent is running along a circular track that has a radius of 45 meters. Trent starts at the 3-o'clock position and travels in the CCW direction, stopping after 106 meters. Imagine an angle with a vertex at the center of the circular track that subtends the path Trent has traveled. When Trent stops, what is his horizontal distance from the center of the track?

On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 880 km/h northwestward direction (i.e., midway between north and west). Can you help me visualize the components of the first velocity, and when the plane flies due south at the same velocity?   I am afraid I can properly visualize or understand in simple terms what is asked.  My point can you help to understand the right angle theorem to the angle.