Chapter 8.5, Problem 36E

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"Hand-in question": While biking, the force of air resistance F (mass times length, per time- squared) appears to be positively related to the speed v (length per time) at which the bike travels and the cross-sectional area A (length-squared) of bike and biker. However, the force involves mass and hence cannot depend on v and A alone. Let the force also depend on the air density p (mass per length-cubed). Hence, the force F can be expressed as some multiplicative combination of v, A and p, that is F = kv" Aª p², for k E R. Find the values of r, y and z that result in the above equation being dimensionally consistent.

1 (2) 1,800.00 mm (1) (2) 1,400.00 mm A B C Rigid bar P Rigid bar ABC is supported by three symmetrically- positioned vertical rods as shown. There is no strain in the vertical rods before load P is applied at B. After load P is applied, the normal strain in rod (1) is 950.00 µɛ. Determine the normal strain in rods (2) in units of με.

Number 6

An electron moves with a constant horizontal velocity of 3.0 x 100 m/s and no initial vertical velocity as it enters a deflector inside a TV tube. The electron strikes the screen after traveling 17.0 cm horizontally and 40.0 cm vertically upward with no horizontal acceleration. What is the constant vertical acceleration provided by the deflector? (The effects of gravity can be ignored.) 1.4 x 10 m/s? 14 2.5 x 10 m/s2 14 1.2 x 10 m/s? 8.3 x 10 m/s?

Motion on the moon The acceleration due to gravity on the moonis approximately g/6 (one-sixth its value on Earth). Compare thetime of flight, range, and maximum height of a projectile on themoon with the corresponding values on Earth.

0 A baseball player stands 5 meters from home plate and watches a pitch fly by. In the diagram, x is the distance from the ball to home plate and is the angle indicating the direction of the player's gaze. Find the rate at which his eyes must move to watch a fastball with x '(t)=-45 m/s as it crosses home plate at x = 0. التنا الى 3 attempts left rad/s. Check my work Brev 7 of 7 www www www Next Plate 5 Player

The figure below gives your velocity during a trip starting from home. Positive velocities take you away from home and negative velocities take you toward home. v (km/hr) 100 75 50 25 25 50 i 2 t = 4 6 Where are you at the end of the 10 hours? 8 10 i When are you farthest from home? km away from home. How far away are you at that time? t (hours) km

An object of mass 700 kg is released from rest 2000 m above the ground and allowed to fall under the influence of gravity Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? [Hint Here the exponentie term is too large to ignore. Use Newton's method to approximate the time t when the object strikes the ground ] Assume th the acceleration due to gravity is 9.81 m/sec² Let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object x(t)= 137.34t-1922.76 1- e t 14 When will the object hit the ground? The object will hit the ground after seconds. (Round to two decimal places as needed.)