Create and solve a system of equations to solve the problem. A billboard painter is using a pulley system to hoist a can of paint up to a scaffold at a rate of half a meter per second. The height of the can of paint as a function of time is given by h(t)= 0.5x +7. Five seconds after he starts raising the can of paint, his partner accidentally kicks a paint brush off of the scaffolding, which falls to the ground. The height of the falling paint brush can be represented by h(t) =-4.9(x - 5)2 + 37. When does the brush pass the paint can? If necessary, round your answer to the nearest hundredth. The paint brush passes by the can about seconds after the painter starts hoisting it up.

Create and solve a system of equations to solve the problem. A billboard painter is using a pulley system to hoist a can of paint up to a scaffold at a rate of half a meter per second. The height of the can of paint as a function of time is given by h(t)= 0.5x +7. Five seconds after he starts raising the can of paint, his partner accidentally kicks a paint brush off of the scaffolding, which falls to the ground. The height of the falling paint brush can be represented by h(t) =-4.9(x - 5)2 + 37. When does the brush pass the paint can? If necessary, round your answer to the nearest hundredth. The paint brush passes by the can about seconds after the painter starts hoisting it up.

Name: QuestlonCreate and solvea system of equations to solve the problem.A
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: QuestlonCreate and solvea system of equations to solve the problem.A billboard painter is using a pulley system to hoist a can of paint up to a scaffold at a rate of half a meterper second. The height of the can of paint as a function of time is giv

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 28P: In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a...

See similar textbooks

Similar questions

The figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood’s machine. One block has a mass m1 = 1.30 kg; the other has mass m2 = 2.80 kg. What are (a) the magnitude of the blocks’ acceleration and (b) the tension in the cord?
In an atwood's machine, one block has a mass of 1.3 kg and the other one has a mass of 2.8 kg. Solve the magnitude of the block's acceleration. a. 1.45 m/s^2 b 6.20 m/^2 c 2.35 m/s^2 d 3.58 m/s^2
A particle with mass 0.9 kg is pulled vertical upwards from rest by means of a cord with an acceleration of 3.4 m/s2 for 4 seconds before the cord breaks. What is the acceleration of the particle the moment just after the cord broke? Give the magnitude and choose the unit and direction.
The figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. Block 1 has mass m1 = 1.4 kg; block 2 has mass m2 = 3.1 kg. What are (a) the magnitude of the blocks’ acceleration and (b) the tension in the cord?
A decoration hangs at rest on a string. A second, horizontal string is knotted to the first, pulling it to the right. The top section of the first string is at an angle of 25° to the vertical. The tension in the horizontal string is 0.8N and acceleration due to gravity is 9.8 ms-2. A. State the 3 forces acting on the knot and draw a force diagram to represent them. B. Find expressions for the component forms of the 3 forces, using the Cartesian unit vectors i and j. C. Find the mass of the decoration, to 2 s.f.
An Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. The masses have the values ?1=27.0 kgm1=27.0 kg and ?2=16.0 kg.m2=16.0 kg. Assume that the rope and pulley are massless and that there is no friction in the pulley. What is the magnitude of the masses' acceleration ??
The driver of a speeding truck slams on the brakes and skids to a stop through a distance d. On another trial, the initial speed of the truck is half as large. What now will be the trucks skidding distance? (a) 2d (b) 2d (c) d (d) d/2 (e) d/4
In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a warm TV set. Ignoring air resistance, calculate the position and velocity of the cat after (a) 0.100 s, (b) 0.200 s, and (c) 0.300 s.
A spittlebug called the froghopper (Philaenus spumarius) is believed to be the best jumper in the animal world. It pushes off with muscular rear legs for 0.0010 s, reaching a speed of 4.0 m/s. a) DETERMINE ITS ACCELERATION DURING LAUNCH b)Determine the distance that the froghopper moves while its legs are pushing.
As in the figure, the object that is discarded in a bent shape falls down after 2 s; a) The maximum height the body can reach (hmax), b) the maximum distance the body can travel in the horizontal (xmax), c) The rate at which the body is discarded (V0).
A flatbed truck moving at 28 m/s carries a steel girder that rests on its wooden floor. The girder is not strapped down, in violation with USDOT regulations. If the coefficient of static friction between steel and wood is 0.52, what is the minimum distance over which the truck can come to a stop without the girder sliding toward the cab of the truck? (answer: 77 m) (b) What is the minimum time over which the truck can accelerate forward from 0 m/s to 28 m/s with a constant acceleration without the girder sliding off the back? (answer: 5.5 s) FNET = ma fs,max = sN W = mg v2 = v02 + 2ax g = 9.81 m/s2
A chandelier with mass mmm is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T1T1T_1 and makes an angle of θ1θ1theta_1 with the ceiling. Cable 2 has tension T2T2T_2 and makes an angle of θ2θ2theta_2 with the ceiling. Find an expression for T1T1T_1, the tension in cable 1, that does not depend on T2T2T_2. Express your answer in terms of some or all of the variables mmm, θ1θ1theta_1, and θ2θ2theta_2, as well as the magnitude of the acceleration due to gravity ggg. You must use parentheses around θ1θ1theta_1 and θ2θ2theta_2, when they are used as arguments to any trigonometric functions in your answer.