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The high-speed winds around a tornado can drive projectiles into trees, building walls, and even metal traffic signs. In a laboratory simulation, a standard wood toothpick was shot by pneumatic gun into an oak branch. The toothpick’s mass was 0.13 g, its speed before entering the branch was 220 m/s, and its penetration depth was 15 mm. If its speed was decreased at a uniform rate, what was the magnitude of the force of the branch on the toothpick?
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- On a trolley weighing WT = (306.1725) N, a crate with Wc = (612.345) N is being transported along a smooth concrete floor. The width of the crate is b = (513.7166667) mm and its height is d = (1617.635714) mm The coefficients of friction between the crate and the trolley are us= (0.270575) and uk = (0.2137166667). If a force P = (402.469) N is applied at the handle of the trolley, determine whether the crate will SLIP or TIP first. NOTE: draw the FBD and the KDarrow_forwardFigure below shows an overhead view of 0.0250 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force −→F1 has a magnitude of 6 N and is at θ1 = 30◦. Force −→F2 has a magnitude of 7 N and is atθ2 = 30◦. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the varying velocity−→v = 13t ˆi − 14t ˆj m/s2, where t is time?arrow_forwardIn a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force F→A of magnitude 202 N, and Charles pulls with force F→C of magnitude 189 N. Note that the direction of F→C is not given. What is the magnitude of Betty's force F→B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?arrow_forward
- Assume a certain liquid, with density 1 300 kg/m3, exerts no friction force on spherical objects. A ball of mass 2.30 kg and radius 8.90 cm is dropped from rest into a deep tank of this liquid from a height of 2.10 m above the surface. (a) Find the speed at which the ball enters the liquid. m/s (b) Evaluate the magnitudes of the two forces that are exerted on the ball as it moves through the liquid. gravitational force buoyant force N (c) Explain why the ball moves down only a limited distance into the liquid. This answer has not been graded yet. Calculate this distance. liquid? (d) With what speed does the ball pop up out of m/s (e) How does the time interval Atun during which the ball moves from the surface down to its lowest point, compare with the time interval At., for the return trip between the same two points? O The down interval is greater. O The up interval is greater. O The two intervals are equal. (f) Now modify the model to suppose the liquid exerts a small friction force…arrow_forwardArchie designs an arch of a certain width and height to serve as an outdoor sculpture in a park. To achieve the size and shape for the strongest possible arch, he suspends a chain from two equally elevated supports as far apart as the arch is wide and allows the chain to hang as low as the arch is high. He then designs the arch to have exactly the inverted shape of the hanging chain. Explain why.arrow_forwardIn a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture.arrow_forward
- Find length and give short correct solution..arrow_forwardAt a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three directions. As a result, three forces act on the ball, F1, F2, and F3. The magnitude of F1 and F2 are, F1=82.0Newtons and F2=89.0Newtons. Determine the magnitude of F3 and the angle such that the resulting force acting on the ball is Zero.arrow_forwardA diving pool that is 4 m deep and full of water has a viewing window on one of its vertical walls. Find the force on a window that is a circle, with a radius of 2 m, tangent to the bottom of the pool. Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. Using the center of the window as the origin, find the width function w(y) for each value of y on the face of the window. w(y) =arrow_forward
- A crate with a mass of m=330 kg rest on the horizontal deck of the ship. The coefficient of static friction between the crate and the deck is us=0.71. The coefficient of kinetic friction is uk =0.49. Randomized variables M= 330 kg Us= 0.71 Uk = 0.49 (A) write an expression for the minimum force, Fm, that must be applied to get the block moving from rest. (B) is the magnitude of the force FM in newtons? (C) write an expression for the force FV that must be applied to keep the block moving at a constant velocity. (D) what is the magnitude of the force FV in newtons?arrow_forwardA tripod holding a nozzle, which directs a 5-cmdiameter stream of water from a hose. The nozzle mass is 10 kg when filled with water. The tripod is rated to provide 1800 N of holding force. A firefighter was standing 60 cm behind the nozzle and was hit by the nozzle when the tripod suddenly failed and released the nozzle. You have been hired as an accident reconstructionist and, after testing the tripod, have determined that as water flow rate increased, it did collapse at 1800 N. In your final report you must state the water velocity and the flow rate consistent with the failure and the nozzle velocity when it hit the firefighter. For simplicity, ignore pressure and momentum effects in the upstream portion of the hose.arrow_forwardPlease answer question 1, there is no diagramarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning