Angle and angle are complementary if angle x o and angle x o

them on the ground. A dung beetle can roll (without slipping) a ball of dung with radius 4.70 cm at a linear speed of 8.90 cm/s. Through what angle does the ball roll as the ball moves a distance of 10.0 cm?

hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated. Question 1: A block of mass M = 0.10 kg is attached to one end of a spring with spring constant k = 100 N/m . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance x = 0.04 m . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy K and spring potential energy Us of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length? Question 2: The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and m2 is greater than m1. Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy U and total kinetic energy K of the block-block-Earth system as a function of the height h of block m1? Question 3: A 2 kg block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance H above the ground. The angle θ between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after 0.75 s. The block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system? Question 4: A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?

f rays CA and DB are angle bisectors

tion are 0.66 and 0.31, respectively. A man pushes down and forward on the crate at an angle of 42° from the horizontal. (a) Draw a free body diagram. Include all components as taught in the course. (b) What is the magnitude of the pushing force required to slide the crate across the dock at a constant acceleration of 2.1 m/s2?

degree angle opposite the 5m side length. Determine the length of the garden along the fence.

Side, Angle Angle Side, and Angle Side Angle

ower in Belgium leans at an angle of 15degrees to the east {this is the angle from the vertical). The tower is 83 tall. Of you are standing 68m from the west side of the tower, calculate the angle of elevation from the ground to the top of the tower.

what option shows the magnitude and angle of V1 - V2? Hint: Do the vector resolution for V2 and find its components. Then, calculate V1 - V2 using the components of V1 and V2, and finally find the magnitude and the angle.

p or down must you move in order to end up on the boundary of the cycle, with a final angle of 22 degrees in standard position with respect to the horzontal axis?

C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and AD = BC. Say the perpendicular bisector to DC meets the perpendicular bisector to AB at P. Then P A = P B and P C = P D. So the triangles P AD and P BC have equal sides and are congruent. Thus ∠P AD = ∠P BC. But P AB is isosceles, hence ∠P AB = ∠P BA. Subtracting, gives x = ∠P AD − ∠P AB = ∠P BC − ∠P BA = 90◦ . This is a preposterous conclusion – just where is the mistake in the “proof” and why does the argument break down there?

lake, a person throws two stones, as shown in the drawing. The cliff is 35.8 m high. The two stones described have identical initial speeds of v0 = 16.9 m/s and are thrown at an angle θ = 24.5 °, one below the horizontal and one above the horizontal. What is the distance between the points where the stones strike the water? Neglect air resistance.

guy wires are to be attached to the tower 40 meters up the tower and anchored 30 meters from the base of the tower. During a wind storm, the tower is bent over between two of the guy wires such that the 2 guy wires are slack but the third is still tight. The angle that the tight wire makes with the ground is 34 degrees. How far off verticil js the tower.

orresponding angles as a reason? why not, and what can you use? how am i suppose to know how many steps to have? whats the difference if i have "m" (measure) before the angle and if i dont have it before the angle? ex. m<4 congruent to m<2 <4 congruent to <2

sically, Tree 1 is just a vertical line, Tree 2 is that line plus two branches, Tree 3 is Tree 2 but with two additional branches on each of the original ones, and so on. Please help! I don't understand how recursions are supposed to be used with this and how to call a previous tree function. Below are additional instructions my teacher gave me. draw-tree3 [ levels blen bangle] levels : number of levels blen : length of each branch bangle : angle of the branches The branch length should decrease as the function calls itself. This does NOT mean you decrease a variable, it means that just like fib(n-1) or fib(n-2) you decrease the parameter as you pass it to the next copy. ----Your slider is the STARTING value, the parameter can be changed every time your function is called. Have the branch decay by multiplying by 0.85 before passing it to the next recursive call. -When this works, try making the branch decay a slider from 0.1 to 0.9 in increments of 0.01