A 72-kg water skier is being accelerated by a ski boat on a flat (glassy) lake. The
Question:
(a) What is the skier's acceleration if the rope pulling the skier behind the boat applies a horizontal tension force of magnitude FT = 240 N to the skier (θ = 0°)?
(b) What is the skier's horizontal acceleration if the rope pulling the skier exerts a force of FT = 240 on the skier at an upward angle (θ = 12°?
(c) Explain why the skier's acceleration in part (b) is greater than that in part (a).
FT = 240 N HE = 0.25
Step by Step Answer:
a See the freebody diagram for the skier when the tow ...View the full answer
Related Video
Static friction and kinetic friction are two types of friction that occur when two objects are in contact with each other. Static friction is the force that must be overcome to initiate motion between two surfaces that are in contact with each other but are not moving relative to each other. It is caused by the interlocking of rough surfaces at the microscopic level, and it increases as the force pushing the surfaces together increases. Once motion between the surfaces starts, the static friction is no longer present. Kinetic friction, also known as sliding friction, is the force that opposes the motion of two surfaces that are in contact with each other and are moving relative to each other. It is caused by the rubbing of the surfaces against each other and the resistance of the molecules in the surfaces to being moved. Kinetic friction is generally less than static friction, but it can still be a significant force, especially at high speeds. Both static and kinetic friction can be quantified using a coefficient of friction, which is a dimensionless number that represents the ratio of the frictional force between two surfaces to the normal force (the force perpendicular to the surfaces). The coefficient of static friction is typically greater than the coefficient of kinetic friction for a given pair of surfaces, because it takes more force to overcome the interlocking of the surfaces at rest than to maintain motion once it has started.
Students also viewed these Mechanics questions
-
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...
-
A 10.0-kg microwave oven is pushed 8.00 m up the sloping surface of a loading ramp inclined at an angle of 36.9 above the horizontal, by a constant force F with a magnitude 110 N and acting parallel...
-
A 20.0-kg rock is sliding on a rough, horizontal surface at 8.00 m/s and eventually stops due to friction. The coefficient of kinetic friction between the rock and the surface is 0.200. What average...
-
The future value S of principal P invested for n years with an interest rate r% compounded annually may be calculated using the formula Rearrange this formula to express P in terms of S, r and n. S =...
-
The Hilbert transform of a Fourier transformable signal m (t), denoted by m (t), is defined by below, in the frequency domain, we have M (?) = -j sgn (?) M (?), where m (t) ? M (?), m (t) ? M (?),...
-
Did Qwest admit to improper accounting before or after the SEC suit?
-
You are purchasing a new car. The possible manufacturers, car sizes, and colors are listed in the table. How many different ways can you select one manufacturer, one car size, and one color? Use a...
-
1. Is the pressure for Richard Branson to change Virgins business strategy coming from the internal or external environment? 2. In order to better compete with its rivals, should Virgin focus on a...
-
What effect did the propaganda following the Boston Massacre have on the colonists?
-
Paul Clark is employed by Aerotech Products and assembles a component part for one of the companys product lines. He is paid $14 per hour for regular time and time and a half (i.e., $21 per hour) for...
-
A 28.0-kg block is connected to an empty 2.00-kg bucket by a cord running over a frictionless pulley (Fig. 4-73). The coefficient of static friction between the table and the block is 0.45 and the...
-
Two blocks made of different materials, connected by a thin cord, slide down a plane ramp inclined at an angle to the horizontal, Fig. 4-76 (block B is above block A). The masses of the blocks are mA...
-
Determine the amount of taxable income that should be reported by a cash-basis taxpayer in 2021 in each of the following independent cases: a. A taxpayer completes $500 of accounting services in...
-
Design the filter satisfying the following specifications using the minimax approach and show its submatrices of overlapped blocking filtering, for \(M=L=4\) and \(N=2\) :...
-
Find an \(N\) th-order AR approximation for the ARMA system \[H(z)=\frac{\left(1-0.8 z^{-1} ight)\left(1-0.9 z^{-1} ight)}{\left(1-0.5 z^{-1} ight)\left(1+0.5 z^{-1} ight)}\] and compare the...
-
Design the filter of Exercise 8.26 with the minimax approach and show its submatrices of overlapped blocking filtering for \(M=N=4\) and for \(L=2\). Exercise 8.26 Design the filter satisfying the...
-
Design a lowpass filter using one decimation/interpolation stage satisfying the following specifications: \[\begin{aligned}& \delta_{\mathrm{p}}=0.001 \\& \delta_{\mathrm{r}} \leq 0.0001 \\&...
-
Look at the following pseudocode class definitions: Given these class definitions, what will the following pseudocode display? Class Plant Public Module message () Display "I'm a plant. End Module...
-
An emphasis-of-matter paragraph is used with an unmodified opinion when: a. A significant uncertainty exists that should be brought to the financial statements users attention. b. An extreme...
-
on 8 For the following set of lengths 130, 170, 160, 160, 150, 190 Third quartile is: et red d out of Select one: O a. 160 a question O b. 145 O c. 175 O d. 180
-
What is the content of DTMs?
-
List the advantages of compiling maps using field-to-finish software?
-
Define the geoid and ellipsoid.
-
Golden Gate Mining Co. (GGMC) currently has a gold mine operating in Canada and is looking to purchase another gold mine in Peru, operating as Inca Gold Inc. (ICI). You currently work for the CFO at...
-
Cokolo Inc. has entered into the following two derivatives contracts: Purchased put options on 1,000 Trenton Co. shares that have an exercise price of $52 per share and expire in 60 days Negotiated a...
-
As a financial manager (consultant), undertake an investigation on your allocated company to evaluate its strategic financial position. Prepare a business report for the board of directors of the...
Study smarter with the SolutionInn App