A toboggan approaches a snowy hill moving at 10.7 m/s. The coefficients of static and kinetic friction between the snow and the toboggan are 0.48 and 0.34, respectively, and the hill slopes upward at 44.0 ∘ above the horizontal. a) Find the magnitude of the acceleration of the toboggan as it is going up the hill. a = ? What is the direction of the acceleration as the toboggan is going up the hill? Up the hill or down the hill? Find the magnitude of the acceleration of the toboggan after it has reached its highest point and is sliding down the hill. a = ?

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16. Running without friction is impossible. In fact, to maximize your acceleration, you need to maximize the static friction between your shoes and the floor. a) Explain why static friction is necessary for running or walking. requirement, employees' shoes must have a coefficient of static friction of 0.5 or more on a specified tile surface. In an emergency, what is the minimum time interval in which a postal worker starting from rest can move a distance of 3 m on the tile surface? c) A typical athletic shoe has a coefficient of static friction of 0.8 when used on a running track. What is the minimum time interval in which an athlete starting from rest can move a distance of 100 m on a running track? b) To meet a U.S. Postal Service

Two blocks connected by a rope of negligible mass are being dragged by a force at a 21° angle above horizontal (see figure below). Suppose F = 117.0 N, m, = 10.0 kg, m, = 26.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.136. Use g=9.8 m/s?. T m2 (b) Determine the acceleration of the system. m/s2 (c) Determine the tension T in the rope. N

Consider a skier heading down a 11° slope. Assume the coefficient of friction for waxed wood on wet snow is μk = 0.10 and use a coordinate system in which down the slope is positive. a. Calcuate the magnitude of the acceleration of the skier in m/s2 b. Find the angle, in degrees, of the slope on which this skier could move down the slope at constant velocity

A truck is driving forward with a 90 kg crate on the back. The coefficient of static friction between the crate and truck is µ-0.28. What is the fastest rate the truck could accelerate forward, in m/s², without the crate slipping off the back?

A man is driving his car with speed 49.0 mi/h on a horizontal stretch of road. (a) When the road is wet, the coefficient of static friction between the road and the tires is 0.102. Find the minimum stopping distance (in m). m == (b) When the road is dry, H, = 0.598. Find the minimum stopping distance (in m). m

The tension at which a fishing line snaps is commonly called the line's "strength." What minimum strength is needed for a line that is to stop a salmon of weight 92 N in 12 cm if the fish is initially drifting horizontally at 2.7 m/s? Assume a constant deceleration. Number i Units

A 4 kg block is sliding down a vertical wall while being pushed by an external force as shown in the figure. What is the magnitude of the acceleration of the block (in m/s2) if the coefficient of kinetic friction between the wall and the block is uj, = 0.20 and the magnitude of the external force is 20 N? 4 kg 30 X 8.8