Question
Asked Oct 29, 2019
The motor of a ski boat produces a power of 35400 W to maintain a constant speed of 12.0 m/s. To pull a water skier at the same constant speed the motor must produce a power of 36400 W. What is the tension in the
ope pulling the skier?
help_outline

Image Transcriptionclose

The motor of a ski boat produces a power of 35400 W to maintain a constant speed of 12.0 m/s. To pull a water skier at the same constant speed the motor must produce a power of 36400 W. What is the tension in the ope pulling the skier?

fullscreen
check_circle

Expert Answer

Step 1

Given information:

The power produced by the boat without the skier (Wb) = 35400 W

The velocity of the boat without the skier (v) = 12 m/s

The power produced by the boat with the skier (Ws) = 36400 W

The velocity of the boat with the skier (v) = 12 m/s

The tension in the rope is (T) =?

Step 2

The force produced by boat alone (...

Wb
Fbv Fb
2950 N
The force the boat has to produce while dragging the skier (F) is given by:
Ws
= 3033.33 N
S
The tension in the string is given by:
T F F
3033.33 2950 = 83.33 N
help_outline

Image Transcriptionclose

Wb Fbv Fb 2950 N The force the boat has to produce while dragging the skier (F) is given by: Ws = 3033.33 N S The tension in the string is given by: T F F 3033.33 2950 = 83.33 N

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Work,Power and Energy

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: = 4.10 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a p...

A: Given:Mass of the first block, m1 = 4.10 kgMass of the second block, m2 = 10.4 kg

question_answer

Q: Tom and Jerry both push on the 3.00-m-diameter merry-go-round shown in (Figure 1). Tom pushes with a...

A: Net torque on merry-go-round is,

question_answer

Q: A girl delivering newspapers covers her route by traveling 5.00 blocks west, 3.00 blocks north, and ...

A: Given values:Distance travelled due west, OA = 5 BlocksDistance travelled due north, AB =3 BlocksDis...

question_answer

Q: A sort of "projectile launcher" is shown in (Figure 1). A large current moves in a closed loop compo...

A: Given that,The length of the bar L = 30 cm= (30 cm)(10^-2 m/cm)= 0.30 mThe mass of the bar m = 1.5 g...

question_answer

Q: The electric potential in a region of space is V- 350V-m where a and y are in meters. V22+y2 Part A ...

A: Let E be the electric field, V be the potential at any point in xy-plane.Write the given values of q...

question_answer

Q: In the figure below a 1.24-kg block is held at rest against a spring with a force constant K = 700 N...

A: Given information:Mass of the block (m) = 1.24 kgSpring constant of the spring (k) = 700 N/mThe comp...

question_answer

Q: At the centre of a circular ice rink, a 82.0 kg ice skater moving 2.25 m/s north hits and grabs onto...

A: Given,

question_answer

Q: A 1,200-kg car travels at a constant speed of 35.0 m/s on a flat surface around a circular path with...

A: For a car travelling in a circular path, the centripetal force is balanced by the frictional force.

question_answer

Q: 21. As the angle between two concurrent forces decreases from 180°, their resultant (3) remains the ...

A: Resultant force is given by,