Oceanographers use submerged sonar systems, towed by a cable from a ship, to map the ocean floor. In addition to their downward weight, there are buoyant forces and forces from the flowing water that allow them to travel in a horizontal path. One such submersible has a cross-section area of 1.3 m2, a drag coefficient of 1.2, and, when towed at 5.1 m/s, the tow cable makes an angle of 30° with the horizontal. What is the tension in the cable?

Oceanographers use submerged sonar systems, towed by a cable from a ship, to map the ocean floor. In addition to their downward weight, there are buoyant forces and forces from the flowing water that allow them to travel in a horizontal path. One such submersible has a cross-section area of 1.3 m2, a drag coefficient of 1.2, and, when towed at 5.1 m/s, the tow cable makes an angle of 30° with the horizontal. What is the tension in the cable?

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

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 29P

See similar textbooks

Similar questions

(a) A very powerful vacuum cleaner has a hose 2.86 cm in diameter. With the end of the hose placed perpendicularly on the flat face of a brick, what is the weight of the heaviest brick that the cleaner can lift? (b) What If? An octopus uses one sucker of diameter 2.86 cm on each of the two shells of a clam in an attempt to pull the shells apart. Find the greatest force the octopus can exert on a clamshell in salt water 32.3 m deep.
(a) A wry powerful vacuum cleaner has a hose 2.86 cm in diameter. With the end of the hose placed perpendicularly on the flat face of a brick, what is the weight of the heaviest brick that the cleaner can lift? (b) What If? An octopus uses one sucker of diameter 2.86 cm on each of the two shells of a clam in an attempt to pull the shells apart. Find the greatest force the octopus can exert on a clamshell in salt water 32.3 m deep.
Oceanographers use submerged sonar systems, towed by a cable from a ship, to map the ocean floor. In addition to their downward weight, there are buoyant forces and forces from the flowing water that allow them to travel in a horizontal path. One such submersible has a cross-section area of 1.3 m, a drag coefficient of 1.2, and, when towed at 5.5 m/s, the tow cable makes an angle of 30° with the horizontal.
It is autumn. You look outside a window and see a maple leaf falling face down, in a straight vertical line. You estimate the speed of the leaf to be 25.77 cm/s. You then pick up the leaf and do measurements. It has a mass of 2.76 g and a cross sectional area of 76 square cm. You measure the density of air to be 1.298 kg m-³. What is the drag coefficient between the leaf and the air? (numerical value only) Number (Hint: For an object to fall with constant speed, it must be at 'terminal velocity'.)
Callie is running a 400 m race around a 400 m track. On the backstretch her velocity is 8 m/s, but she is running into a 2 m/s headwind. How large is the drag force that acts on Callie? Assume that the density of the air is 1.2 kg/m3, that Callie’s cross-sectional area is 0.5 m2, and that her coefficient of drag is 1.1.
Running on a treadmill is slightly easier than running outside because there is no drag force to work against. Suppose a 60 kg runner completes a 5.0 km race in 19 minutes. The density of air is 1.20 kg/m3 Determine the drag force on the runner during the race. Suppose that the runner has the cross section area of 0.72 m2 and the drag coefficient of 1.2. What is this force as a fraction of the runner's weight?
Kayaking is a great example of multiple drag forces. Where a person has to deal with currents in the water and air to propel themselves forward. In this problem, the water is moving at a velocity of 1.7 m/s directly in the direction you are trying to row. When considering this water, the area in contact with the water is .05 m^2, the drag coefficient is 1.02 with normal water density. You are moving at a velocity of 3 m/s, while the air is blowing against you with a velocity of 2.7 m/s (head wind). For the air, you have an area in contact of .5 m^2, and a drag coefficient of 1.75. Normal air density is present. In order to accomplish your time goal, you need a net force propelling you downstream of 175 newtons, how much force are you applying with the paddle to achieve this goal?
An object hangs between two walls which are 1.8 m apart. If the rope sags 15° below horizontal and the object’s mass is 1.5 kg, what is the tension in the rope?
A stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls on the leash with force F ⃗ = (98.0i ^ + 132.0j ^ + 32.0k ^ )N along the leash. (a) What is the magnitude of the pulling force? (b) What angle does the leash make with the vertical?
A 565-g squirrel with a surface area of 860 cm2 falls from a 6.0-m tree to the ground. Estimate its terminal velocity. (Use the drag coefficient for a horizontal skydiver. Assume that the cross-sectional area of the squirrel can be approximated as a rectangle of width 11.1 cm and length 22.2 cm. Note, the squirrel may not reach terminal velocity by the time it hits the ground. Give the squirrel's terminal velocity, not it's velocity as it hits the ground.) -------m/s What will be the velocity of a 56.5-kg person hitting the ground, assuming no drag contribution in such a short distance? -------m/s
A tennis ball (typical mass 57.5 g) flying through the air may be affected by air resistance. The drag force applied to the ball can be approximated as: F drag C₁pAv² Where: Fdrag Drag force (N) Cd = Coefficient of drag, which for a tennis ball is around 0.55 p = The density of air, which at ground level at 25°C is around 1.2 A = The presented area of the tennis ball in the direction of travel, around 3500 mm² v = The velocity (by convention in the positive direction) in m/s (a) Draw a free-body diagram of the tennis ball during flight, including air resistance. Also include a separate vector showing the direction of travel (v) at an arbitrary angle (theta) from horizontal. (b) Write Newton's second law for the x and y directions, and from this state the first-order differential equations (in each coordinate) that govern the motion of the tennis ball The tennis ball is at a vertical height of 1.4 m above the ground when it is struck with a racquet. The initial velocity as it leaves the…
A pulley is attached to one end of a rough plank, which makes an angle of 34° with the horizontal. A box is held at rest on the plank by a string that is attached to the box and passes over the pulley. A bucket of water is attached to the other end of the string and hangs freely. The coefficient of static friction between the plank and the box is 0.8. The box remains at rest but is on the point of slipping up the plank. The bucket of water has mass 7.5 kg. pulley box bucket of water 34° Model the box and the bucket of water as particles, the string as a model string and the pulley as a model pulley. (a) By considering the forces acting on the bucket of water, find the magnitude of the tension in the string (in newtons) in terms of g and the magnitude of the acceleration due to gravity (in ms-2). (b) State the four forces that act on the box and draw a force diagram showing them, including the angles that show their directions. (c) Take the unit vector i to be in the direction up the…