Problem 8: A car of mass m = 1020 kg is traveling down a 0 = 12 degree incline. When the car's speed is vo = 11 m/s, a mechanical failure causes all four of its brakes to lock. The coefficient of kinetic friction between the tires and road is µ̟ = 0.45. y 0-

A block of mass M slides (3) along a rough (a) inclined surface (Ja au) with a constant velocity. The inclination angle ( ) of the surface is e as shown in the adjacent figure ). The coefficient (J) of kinetic friction (H ) of the Time left 059:40 inclined surface is: A. cos (e) B. tan(0) C. sin(20) M V- Constant D. cos(0) E. sin(e) *Take g= 9.8 m/s

Suppose a toy car experiences two horizontal forces: A time-dependent force from its motor of F = 2.0e-0.5tN, and kinetic friction with a coefficient of u = 0.1 from its wheels and bearings. What will its maximum speed be on level ground if it starts from rest? %3D %3D

ved 161 A single cable is wrapped from the center of pulley A, around pulley B, and around pulley A. This cable is pulled downward at 2 m/s. At what speed does pulley B move upward? V = 1 S L= take a time derivitive 0-2 VAB+ VAC dB C WEIGHT 2 m/s de

3. Suppose a box enters a region of frictional floors, as seen in Fig. 3. x = 0 1 μ1 H₂ μ3 μ4 H5 μ6 d The box with mass m = 2 kg enters the region with initial speed vo = 10 m/s. Each of the frictional patches has a length of d = (10/19.62) m. The n-th frictional patch has a coefficient of kinetic friction given by un. (a) What is the initial kinetic energy of the box? hope (b) f 0.3 for all , how far goes the bleek travel before stopping? Find the thermal energy of the system at the end of each patch trayersed Do the same if un (d) Do the same if µn = (10/11)". (Does this one ever stop?) m Vo

A truck is traveling at 11.8 m/s down a hill when the brakes on all four wheels lock. The hill makes an angle of 13° with respect to the horizontal. The coefficient of kinetic friction between the tires and the road is 0.956. How far does the truck skid before coming to a stop? Number Units

Determine the drag coefficient ca needed for a parachutist of mass m = 68.1 kg to have a velocity of 40 m/s after free-falling for time t = 10 s. Assume the acceleration due to gravity is 9.8 m/s². v(t) = [1 - e-G)] gm Cd

A girl of mass m,= 53 kg is pulling a sled up a slippery slope. The coefficient of friction between the girl's boots and the slope is µ̟ = 0.152; the friction between the sled and the slope is negligible. The girl can pull the sled up the slope with a < ama = 0.010 m/s² before she begins to slip. Assume the rope connecting the girl to the sled is kept parallel to the slope at all times. The angle of the slope is 0 = 8°. 7. Which of the following simplifications are reasonable? E.g., if A, B, and F are reasonable and the other choices are not, enter ABF; if none are reasonable, enter N. A. The sled has the same acceleration as the girl. B. The sled has smaller acceleration than the girl. C. The normal D. The weight of the sled and the tension in the rope form an action-reaction pair. E. The rope connecting the sled and the girl is unstretchable. F. The weight of the sled is constant. acting on the sled is negligible.

At Ted's request, Bill pushes the pizza box across the granite countertop towards Ted. When the box leaves Bill's hand it is sliding at 2.60 m/s. The box comes to rest over a distance of 110 cm. What is the coefficient of kinetic friction, uk, between the pizza box and the countertop? (Ignore air drag.)