time of 5 rotations (16.5 s) Time of 1 rotation (3.3 s) Distance from shoulder to elbow (20.32cm) Distance from shoulder to middle of hand (56.99cm) A. How far (degrees and rad) did the elbow travel during the five rotations? ​B. How far (m) did the elbow travel during the five rotations?   ​C. How do these compare to the hand?  Why are they the same and/or different?

Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?

Over the Christmas break, you are making some extra money for buying presents by working in a factory, helping to move crates around. At one particular time, you find that all the handtrucks, dollies, and carts are in use, so you must move a crate across the room a straight-line distance of 35.0 m without the assistance of these devices. You notice that the crate has a rope attached to the middle of one of its vertical faces. You decide to move the crate by pulling on the rope. The crate has a mass of 130 kg, and the coefficient of kinetic friction between the crate and the concrete floor is 0.350. (a) Determine the angle relative to the horizontal at which you should pull upward on the rope so that you can move the crate over the desired distance with the force of the smallest magnitude. (b) At this angle of pulling on the rope, how much work do you do in dragging the crate over the desired distanced?

The average distance between Earth and the Sun is 1.51011m . (a) Calculate the average speed of Earth in its orbit (assumed to be circular) in meters per second. (b) What is this speed in miles per hour?

The Moon's mass is 7.35 1022 kg, and it moves in a nearly circular orbit with radius 3.84 108 m. The period of its motion is 27.3 days. Use this, information to determine the Moon's (a) orbital speed and (b) its acceleration.

A flea is at point on a horizontal turntable, 10.0 cm from the center. The turntable is rotating at 33.3 rev/min in the clockwise direction. The flea jumps straight up to a height of 5.00 cm. At takeoff, it gives itself no horizontal velocity relative to the turntable. The Ilea lands on the turntable at point . Choose the origin of coor-dinates to be at the center of the turntable and the positive xaxis passing through at the moment of takeoff. Then the original position of the flea is 10.0i cm. (a) Kind die position of point when die Ilea lands. (b) Find die position of point when the flea lands.

(a) Refer to Table 1.3 to determine the average distance between the Earth and the Sun. Then calculate the average speed of the Earth in its orbit in kilometers per second. (b) What is this in meters per second?

A pet mouse sleeps near the eastern edge of a stationary, horizontal turntable that is supported by a friction-less, vertical axle through its center. The mouse wakes up and starts to walk north on the turntable, (i) As it takes its first steps, what is the direction of the mouse's displacement relative to the stationary ground below? (a) north (b) south (c) no displacement, (ii) In this process, the spot on the turntable where the mouse had been snoozing undergoes a displacement in what direction relative to the ground below? (a) north (b) south (c) no displacement. Answer yes or no for the following questions, (iii) In this process, is the mechanical energy of I lie mouse-i mutable system constant? (iv) Is the momentum of the system constant? (v) Is the angular momentum of the system constant?

How can an estimate be of value even when it is off by on order of magnitude? Explain and give an example.

In Problem 50, what is the tangent of the angle for which 5.00 in is the opposite side?