Question: A 59-kg water skier is being pulled by a nylon tow rope that is attached to a boat. The unstretched length of the rope is

A 59-kg water skier is being pulled by a nylon tow rope that is attached to a boat. The unstretched length of the rope is 12 m, and its cross-sectional area is 2.0 × 10-5 m2. As the skier moves, a resistive force (due to the water) of magnitude 130 N acts on her; this force is directed opposite to her motion. What is the change in the length of the rope when the skier has an acceleration whose magnitude is 0.85 m/s2?

Step by Step Solution

★★★★★

3.42 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

REASONING The change L in the length of the rope is given by L FL 0 YA see Equation 1017 where F is ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1176-P-M-P-A-S(353).docx

120 KBs Word File

Students Have Also Explored These Related Modern Physics Questions!

A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 70.3-kg water-skier has an initial speed of 6.10 m/s. Later, the...

A 72-kg water skier is being accelerated by a ski boat on a flat ("glassy") lake. The coefficient of kinetic friction between the skier's skis and the water surface is µk = 0.25 (Fig. 4-74)....

A trailer with loaded weight Fg is being pulled by a vehicle with a force P, as in Figure P12.71. The trailer is loaded such that its center of mass is located as shown. Neglect the force of rolling...

A recreational motor boat on a lake is towing a 06-kg water skier. She holds on to a nylon tow rope of length 13 m with a cross sectional area of 2.0 x 10"5 m. As the boat and she starts moving, she...

a 6 5 kg skier is pulled by a nylon ( youngs modulus 3 . 7 x 1 0 ^ 9 ) tow rope attached to a boat. the unstretched length of the rope is 1 1 m and its cross - section area is

1. [-/1 Points] DETAILS SERPSE 10 7.2.OP.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A raindrop of mass 3.06 x 10" kg falls vertically at constant speed under the influence of gravity and air...

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 ft from the dock, the length of the rope from the boat to the dock is 3 ft longer than twice...

210 Chapter 3 / Topics in Differentiation 22. For the camera and rocket shown in Figure 3.4.5, at what constant rate of 5 ft/ min, at what rate is sand pouring from rate is the rocket rising when the...

100% 243 Q Sun Oct:22 /?courseld=12434814&key-694854921526217922 Student/PlayerHomework.aspx?homeworkid=659271633&questionld=4&flushed=true&cld=7580515¢erw Kreya patel 10/22/23 9:39 PM tion 3.11...

Let AH} he the area of a circle 1with radius t], at time t in min. Suppose the radius is changing d1" at the rate of E = i3 tttmin. Find the rate of change at the area at the moment in time when r =...

Consider the economy of two countries: England (E) and China (C) initially not trading with each other. Each country has 1000 workers for producing bananas (B) and roses (R). An English worker can...

An excerpt from the Fourth Amendment reads: The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and...

4.36 A survey by Accenture indicated that 64% of millennials as compared to 28% of baby boomers prefer hybrid investment advicea combination of traditional advisory services and low-cost digital...

In the Amazon.com example of free shipping, the initial experience was different in France because in that country, page 484.) (Related to Application 2 on

A disk with a rotational inertia of 7.00 kg m2 rotates like a merry-go-round while undergoing a torque given by = (5.00 + 2.00t) N m. At time t = 1.00 s, its angular momentum is 5.00 kg.m2/s. What is...

A man stands on a platform that is rotating (without friction) with an angular speed of 1.2 rev/s; his arms are outstretched and he holds a brick in each hand. The rotational inertia of the system...

The rotor of an electric motor has rotational inertia Im = 2.0 x 10 3 kg m2 about its central axis. The motor is used to change the orientation of the space probe in which it is mounted. The motor...

Need help solving; A put option that expires in six months with an exercise price of $75 sells for $4.55. The stock is currently priced at $71, and the risk-free rate is 4.1 percent per year,...

26. To qualify for a police academy, candidates must score in the top 20% on a general abilities test. The test has a mean of 200 and a standard deviation of 20. Find the lowest possible score to...

One can use a fitted logistic regression model to predict the probability/odd of an interest of choice represented by an dependent variable given a set of the values of the independent variables in...