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- P2.128 The 5-cm by 5-cm by 3.6-m spar buoy from Fig. P2.126 has 2 kg of steel attached and has gone aground on a rock, as in Fig. P2.128. Compute the angle 6 at which the buoy will lean, assuming that the rock exerts no moments on the spar. now. d WOod SG = 0.6 2.4 m bll Seawater Rock P2.128A) How high, in meters, does the rock travel? Use a value of h = 0 at the location of the break. h = b) What is the magnitude of the tension, in newtons, at which the string breaks? Tf=A 4.0 kg block rests at the edge of a platform that is 20 m above level ground. The block is launched horizontally with an initial velocity of 15 m/s. The time it would take to reach the ground is most nearly A) 1.41 s B) 1.33 s C) 2.0 s D) 1.73 s E) 2.5 s
- A skater with an initial speed of 7.13 m/s stops propelling himself and begins to coast across the ice, eventually coming to rest. Air resistance is negligible. (a) The coefficient of kinetic friction between the ice and the skate blades is 0.105. Find the deceleration caused by kinetic friction. magnitude m/s2 direction (b) How far will the skater travel before coming to rest? m=. Consider a skydiver falling towards the Earth. Air friction acts to oppose their motion. At some point the skydiver reaches their terminal speed: their constant maximum speed (before they open the parachute). Before and after terminal speed is reached, what can you say about the relationship between the force of air friction and the force of gravity? Briefly explain.Two muscles in the back of the leg pull upward on the Achilles tendon, as shown in the figure below. (These muscles are called the medial and lateral heads of the gastrocnemius muscle.) P₂-205N F₁-205 N 2626 Find the magnitude (in N) and direction (in degrees counterclockwise from the dotted line) of the total force on the Achilles tendon. 410 XN magnitude direction Xcounterclockwise from the dotted Ine What type of movement could be caused by this force? o This force can raise the heel of the foot This force can twist the ankle to the left or night. This force can turn the foot to the left or right This force can lower the heel of the foot
- 1. A 0.10kg block slides up a 16.00° inclined surface with an initial speed of 6.00 The coefficient of kinetic friction between the block and surface is 0.29. Determine how long it takes for the block to come to rest. (HINT: Determine the net acceleration on the block, then use kinematics to solve for the time). O 1.10s 0.59s 2.22s O 2.20s m SA box (400 kg) sits inside the trailer of a semitruck traveling at a speed of 25 m/s (~ 55 mph). Suddenly, a car in front of the truck stops in the road. The driver of the truck hits the brakes to bring the truck to a stop. Assume that the coefficient of static friction µs = 0.7 between the box and the floor of the trailer. Assume g = 10 m/s2.a) When the truck slows down while traveling left, what is the direction of the friction force on box 1 (right, left, none)? b) When the truck is slowing down, what is the maximum magnitude of the static friction force on box 1 (to slow it down with the truck and not let it slide)? N c) When the truck is slowing down, what is the maximum magnitude of the truck's acceleration such that box 1 does not slide? m/s2 d) What is the minimum time for the truck to stop such that box 1 does not slide? Use your maximum acceleration from the previous problem. s e) Given this minimum time, what is the minimum distance for the truck to stop without box 1…a) To what height will a 450 g soccer ball rise if it is kicked directly upward at 8 m/s? b) Neglecting wind resistance, use your kinematic equations to determine how long does it take for the ball to get to the top of it's trajectory? c) What is the hang time of the ball? Round answers to nearest hundredth.
- 2. A body of mass m is thrown vertically upward into the air with an initial velocity vo. The body encounters no air resistance. Find (a) the differential equation of motion, (b) an expression for the velocity of the body at any time t, (c) the time tmax at which the body reaches its maximum height, (d) an expression for the position of the body at any time t, and (e) the maximum height attained by the body.Computation. A rocket, with a mass of 1.8 x 104 kg, blasts off from earth with a uniform upward acceleration of 2.78 m/s². Ignoring any air resistance, calculate the magnitude of the rocket engines' upward thrust, T T= N 2 Record your numerical answer below, assuming three significant figures.An ice skater is traveling in a straight, horizontal line on the ice with a velocity of v = 7.5 m/s in the positive x-direction. The coefficient of kinetic friction between the skates and the ice is μk = 0.23. v=7.5 m/s uk= 0.23 Using the expression for normal force,write an expression for the skaters acceleration in the x-direction, a