Using a simple pulley and rope system, a т, crewman on an Arctic expedition is trying to frictionless lower a crate of mass mị 5.13 kg to the bottom of a steep ravine of height H 25.4 m. The 60.9 kg is walking while crewman of mass m2 т holding the rope, being careful to lower the crate at a constant speed of vo Н 1.50 m/s. Unfortunately, when the crate reaches a point h = 14.1 m above the ground, the crewman steps on a slick patch of ice and slips. The crate immediately accelerates toward the ground, dragging the hapless crewman across the ice and figure not to scale toward the edge of the cliff. Assuming the ice is perfectly slick, so that there is no friction between the crewman and the ice once he slips and falls down, at what speed vị will the crate hit the ground? Assume also that the rope is long enough to allow the crate to hit the ground before the crewman slides over the side of the cliff, and that the pulley is frictionless. m/s At what speed vz will the crewman hit the bottom of the ravine? Assume no air resistance. m/s

Using a simple pulley and rope system, a т, crewman on an Arctic expedition is trying to frictionless lower a crate of mass mị 5.13 kg to the bottom of a steep ravine of height H 25.4 m. The 60.9 kg is walking while crewman of mass m2 т holding the rope, being careful to lower the crate at a constant speed of vo Н 1.50 m/s. Unfortunately, when the crate reaches a point h = 14.1 m above the ground, the crewman steps on a slick patch of ice and slips. The crate immediately accelerates toward the ground, dragging the hapless crewman across the ice and figure not to scale toward the edge of the cliff. Assuming the ice is perfectly slick, so that there is no friction between the crewman and the ice once he slips and falls down, at what speed vị will the crate hit the ground? Assume also that the rope is long enough to allow the crate to hit the ground before the crewman slides over the side of the cliff, and that the pulley is frictionless. m/s At what speed vz will the crewman hit the bottom of the ravine? Assume no air resistance. m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Current Attempt in Progress The figure shows a cold package of hot dogs sliding rightward across a frictionless floor through a distance d = 22.0 cm while three forces act on the package. Two of them are horizontal and have the magnitudes F₁ = 8.0 N and F₂ = 2.0 N; the third is angled down by = 60.0° and has the magnitude F3 = 7.0 N. (a) For the 22.0 cm displacement, what is the net work done on the package by the three applied forces, the gravitational force on the package, and the normal force on the package? (b) If the package has a mass of 4.0 kg and an initial kinetic energy of 0, what is its speed (in m/s) at the end of the displacement? (a) Number i (b) Number Units Units Hot Dogs Ve F F d
Starting from rest, a 30.6 kg child rides a 8.50 kg sled down a frictionless ski slope. At the bottom of the hill, her speed is 6.4 m/s. If the slope makes an angle of 15.1° with respect to the horizontal, how far along the hill did she slide on her sled?
A 1500-N crate is to be held in place on a ramp that rises at 30.0° above the horizontal (see figure). The massless rope attached to the crate makes a 22.0° angle above the surface of the ramp. The coefficients of friction between the crate and the surface of the ramp are uk = 0.450 and us = 0.650. The pulley has no appreciable mass or friction. What is the MAXIMUM weight w that can be used to hold this crate stationary on the ramp? %3D W= ? Crate 22.0° Ramp 30.00
A worker pushes a 35.0-kg package on a horizontal roller-belt conveyor until it reaches a certain speed. The package then coasts on the horizontal conveyor, all the while slowing down, until it comes to a complete stop after moving 1.20 m. While the package is coasting on the conveyor, the opposing friction force averages 6.00 N. Use the WET to find the speed of the package after the worker pushes it and just as it begins to coast. 0.625 m/s 0.759 m/s 0.600 m/s 0.510 m/s 0.802 m/s 0.641 m/s
A person steps horizontally off the roof of a single-story house that is 3.1 m high. When his feet hit theground below, he bends his knees such that his torso decelerates over a distance of 0.65 m before coming to astop. If the mass of his torso is 50 kg, what is the average net force exerted on his torso over this distance?
The figure shows a block of mass m resting on a 20o slope. The block has coefficients of friction us=0.64 and uk=0.54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from rest?
While walking on water, an arctic wind freezes the water beneath your feet and you now find yourself stuck in the middle of a 15m diameter lake on top of a frictionless layer of ice. Unable to just walk off, you decide to push off your physics book with a force of 80.0N for 0.1s. How long in minutes will it take you to reach the shore if your mass is 75kg?
A person on an icy expedition is trying to lower a crate of mass m1 = 5.65 kg crate to the bottom of a steep ravine of height h2 21.8 m using a rope over a simple pulley. The person, who m2 frictionless %| weighs m2 = 60.9 kg, is being careful to lower the crate at a constant speed of 1.50 m/s. Unfortunately, when the crate reaches a point h = 12.1 meters above the ground, the person slips and the crate immediately accelerates toward the ground, dragging the hapless person across the ice and toward the edge of the cliff. h If we assume the ice is perfectly slick (that is, no friction between the person and the ice once he slips and falls down), at what speed will the crate hit the ground? Assume also that the rope is long enough to allow the crate to hit the ground before the crewman slides over the side of the cliff. speed: m/s At what speed will the person hit the bottom of the ravine? (Assume no air friction.) speed: m/s
A 8.00-kg block of ice is released from rest at the top of a 1.60-m long frictionless ramp, slides downhill, reaching a speed of 3.25 m/s at the bottom. What is the angle between the ramp and the horizontal?
rough surfice Smath swace leeeeed 2.50m he 3.00m E; Ei + WNc A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m. a) How much does the spring get compressed by the block with respect to its equilibrium length? Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation of energy: E, = E; + WNC , and show all steps. b) What is the potential energy stored by the spring when the mass comes to a stop? Please show the symbolic equation and then "plug in the numbers" to give a numerical answer in units of joules with 3 sig figs. c) What happens to the potential energy stored in the spring after the block stops…
as a fish jump vertically out of the water, assume that only two significant forces act on it: an upward force F exerted by the tail fin and the downward force due to gravity. a force chinook salmon has a length of 1.50 m and a mass of 48.5 kg. if the fish is moving upward at 3.00 m/s as its head first breaks the surface and has an upward speed of 5.80 m/s after two-thirds of its length has left the surface, assume constant acceleration and determine the following. a. the salmon's acceleration b. the magnitude of the force F during this interval
You decide to launch a rockof mass m1 using a tube containing a spring of spring constant k. When the spring is at equilibrium, it fills the entire tube. To launch a rock, you push it into the tube, compressing the spring a distance d, at which point a locking mechanism holds the spring(and the rock) in place. When the lockis released, the spring pushes the rock to the end of the tube where it will be launched into the air. The coefficient of kinetic friction between the rock and the inside surface of the tube is given by μk. You setup the launcher at an angle q above the horizontal with the spring end buried such that when the spring is compressed and locked, the rock is at ground level. a)Find the work done on the rock by non-conservative forces as it moves from the point of release to the end of the tube. Express your answer in terms of μk, m1, q, d, and any necessaryconstants. b) Find the velocity of the rockvfas it exits the launch tube in terms of μk, k, m1, q, d, and any…