A cart for hauling ore out of a gold mine has a mass of 419 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.05° incline. A donkey, which is trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 377 N force for a distance of 111 m by means of a rope that is parallel to the slope but makes an angle of 14.5° with the track. Model the rolling resistance of the cart as though it were sliding on the track with a coefficient of friction of 0.0181. Use g = 9.81 m/s², and note that angle A in the image is the angle of the incline while angle B is the angle the rope makes with the track. Find the work W₁ that the donkey performs on the cart during this process. W₁ = J B Track Rope Track incline Horizontal ground

A cart for hauling ore out of a gold mine has a mass of 419 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.05° incline. A donkey, which is trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 377 N force for a distance of 111 m by means of a rope that is parallel to the slope but makes an angle of 14.5° with the track. Model the rolling resistance of the cart as though it were sliding on the track with a coefficient of friction of 0.0181. Use g = 9.81 m/s², and note that angle A in the image is the angle of the incline while angle B is the angle the rope makes with the track. Find the work W₁ that the donkey performs on the cart during this process. W₁ = J B Track Rope Track incline Horizontal ground

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

Under the influence of its drive force, a snowmobile is moving at a constant velocity along a horizontal patch of snow. When the drive force is shut off, the snowmobile coasts to a halt. The snowmobile and its rider have a mass of 139 kg. Under the influence of a drive force of 180 N, it is moving at a constant velocity whose magnitude is 5.43 m/s. The drive force is then shut off. Find (a) the distance in which the snowmobile coasts to a halt and (b) the time required to do so. (a) S = (b) t = i i
A force of 109 N is used to accelerate a block of ice with a weight of 614 N along a horizontal surface where it encounters a kinetic friction force of 38 N. What is the horizontal acceleration of the block of ice?
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 commercial airplane is coming in for a landing. Just before it hits the runway it is moving at 76 m/s. The plane has a mass of 20,000 kg. The runway is 1.6km long and, obviously, the airplane needs to be stopped before it reaches the end of the runway. How large is the braking force the airplane needs to stop safely before the end of the runway?
A robot with fancy wheels is trained to move in two directions simultaneously. The force in the forward direction is 10 N and the force in the horizontal direction is 8 N. If the robot starts from rest, has a mass of 75 kg and travels for 100 seconds, what is the magnitude of the robot's final displacement?
Two crates of fruit are released from the top of a ramp inclined at 30 degrees from the horizontal and 4.5 meter long. The two crates consist of an apple crate of mass 20 kg that is placed in front of a watermelon crate of mass 80 kg. The apple crate has a coefficient of friction of 0.20 while the watermelon crate has a coefficient of friction of 0.15. How long does it take the apple crate to reach the bottom of the incline if it needs to travel a distance of 4.5 meters?
The standing vertical jump is a good test of an athlete’s strength and fitness. The athlete goes into a deep crouch, then extends his legs rapidly; when his legs are fully extended, he leaves the ground and rises to his highest height. It is the force of the ground on the athlete during the extension phase that accelerates the athlete to the final speed with which he leaves the ground. A good jumper can exert a force on the ground equal to twice his weight. If his crouch is 60 cm deep, how far off the ground does he rise?
Mary applies a force of 77 N to push a box with an acceleration of 0.55 m/s2. When she increases the pushing force to 85 N, the box's acceleration changes to 0.71 m/s2. There is a constant friction force present between the floor and the box. (a) What the mass of the box in kilograms? kg (b) What is the coefficient of kinetic friction between the floor and the box?
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