A 325-g model boat facing east floats on a pond. The wind in its sail provides a force of 1.55 N that points 25° north of east. The force on its keel is 0.655 N pointing south. The drag force of the water on the boat is 0.750 N toward the west. If the boat starts from rest and heads east, what is its final speed vf after it travels for a distance of 3.85 m? Uf = m/s

A 325-g model boat facing east floats on a pond. The wind in its sail provides a force of 1.55 N that points 25° north of east. The force on its keel is 0.655 N pointing south. The drag force of the water on the boat is 0.750 N toward the west. If the boat starts from rest and heads east, what is its final speed vf after it travels for a distance of 3.85 m? Uf = m/s

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Energy Of A System

Section: Chapter Questions

Problem 7.4OQ: A cart is set rolling across a level table, at the same speed on every trial. If it runs into a...

See similar textbooks

Similar questions

Sally wants to hang up some decorations on the side of her house, so she props up a ladder of length L = 3m against a wall at an angle of θ = 50° with respect to the horizontal. The ground is somewhat icy, where the coefficient of static friction between the ground and the ladder’s feet is µ = 0.55; while the wall of her house can be considered frictionless. If Sally has a mass of 60kg and the ladder has a mass of 80kg, what is the max distance that she can climb up the length of the ladder without it slipping? You may assume the ground is perfectly flat, and the wall is perpendicular to the ground.
The engines of a tanker broke down and the wind pushes the ship with a constant speed of 1.5 m / s straight towards a reef. When the boat is 500 m from the reef, the wind stops and the engineer manages to start the engines. The rudder is stuck, so the only option is to try to accelerate backwards. The mass of the ship and its cargo is 3.6 x 107 kg and the engines produce a net horizontal force of 8 x 104 N. The hull can withstand impacts at a speed of 0.2 m / s or less. The retarding force that the water exerts on the hull of the ship can be neglected. a) The equation of motion that corresponds to the horizontal component is? b)The acceleration of the ship is equal to? c) If the reef does not exist, the vessel, before stopping, travels what distance?
If a 2.3 kg object is initially at rest on a frictionless, horizontal surface and subjected to a 10.2 N force in the positive x-direction over a distance of 4.1 meters, what will the object’s final speed be? Assume the answer in in m/s.
A 7450kg car is travelling at 28.7m/s when the driver decides to exit the freeway by going up a ramp. After coasting 383m along the exit ramp, the car's speed is 13.3m/s, and it is h=13.7m above the freeway. What is the magnitude of the average drag force Fdragexerted on the car?
A 4.2-g bullet leaves the muzzle of a rifle with a speed of 326 m/s. What force (assumed constant) is exerted on the bullet while it is traveling down the 0.78-m-long barrel of the rifle? ____ N
The kinetic friction force between a 8.1-kg object and a horizontal surface is 72 N. If the initial speed of the object is 74 m/s, what distance will it slide before coming to a stop?
A 6.53 kg block initially at rest is pulled to the right along a horizontal surface by a constant force of 125 N applied at an angle θ above the horizontal. The coefficient of kinetic friction between the block and the horizontal surface is 0.150. At what angle θ above the horizontal surface should the force be applied to achieve the largest possible speed after the block has moved 5.00 m to the right?
A dart gun has a spring of spring constant k = 13 N/m which is used to shoot a dart of mass m. The dart leaves the gun at a speed of v = 3.7 m/s after the spring is compressed 1 cm. What is the weight, Fg in Newtons, of the dart? What is the dart’s speed when it hits the floor vf, in m/s, if it is fired horizontally at a height of h = 2 meters? What angle, θ in degrees, does the dart's final velocity make with the horizontal?
A stone with a weight of 4.89 N is launched vertically from the ground levelwith an initial speed of 15 m/s and the air drag on it is 0.250 N throughout the flight. Find the speed of the stone before it hits the ground.
A constant applied force ?p of 15.0 N pushes a box with a mass ?=6.00 kg a distance ?=15.0 m across a level floor. The coefficient of kinetic friction between the box and the floor is 0.150.Assuming that the box starts from rest, what is the final velocity ?f of the box at the 15.0 m point If there were no friction between the box and the floor, what applied force ?new would give the box the same final velocity?
Jane needs to swing across a river filled with man-eating crocodiles in order to rescue Tarzan from danger. However, she must swing into a constant horizontal wind force, F, on a vine that is initially at an angle of ? with the vertical (see Fig. P5.73). Use these values to solve the problem: Jane's mass = 49.0 kg, Tarzan's mass = 80.0 kg, D = 50 m, F = 140 N, L = 40 m, ? = 24.6, and ? = 56.5°. With what minimum speed must Jane begin her swing in order to just make it to the other side? If she can make it to the other side with zero initial speed, what is her final speed (enter this value with a negative sign)?______ m/s Once the rescue is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they begin their swing? If they can make it to the other side with zero initial speed, what is their final speed (enter this value with a negative sign)?______ m/s
7. A dart gun includes a spring of spring constant k = 14 N/m which is used to shoot a dart of mass m. The dart leaves the gun at a speed of v = 6.9 m/s after the spring is compressed 1 cm. Part (a) What is the weight, Fg in Newtons, of the dart? Part (b) What is the dart’s speed when it hits the floor vf, in m/s, if it is fired horizontally at a height of h = 2 meters? Part (c) What angle, θ in degrees, does the dart's final velocity make with the horizontal?