A 1000-kg barge is being towed by means of two horizontal cables. One cable is pulling with a force of 80.0 N in a direction of 30.0 degrees west of north. In What direction should the second cable pull so that the barge will accelerate northward, if the force exerted by the cable is 120 N? Assume that the water exerts no appreciable frictional drag on the barge.

Question
Asked Jun 18, 2019
857 views

A 1000-kg barge is being towed by means of two horizontal cables. One cable is pulling with a force of 80.0 N in a direction of 30.0 degrees west of north. In What direction should the second cable pull so that the barge will accelerate northward, if the force exerted by the cable is 120 N? Assume that the water exerts no appreciable frictional drag on the barge.

check_circle

Expert Answer

Step 1

The direction of the cable exerting force of 120 N can be calculated using following steps:

Given:

Mass of barge, m=1000 kg
Force, F 80.0N
Angle of inclination of F, 0-30.0°
Force, F120.0N
help_outline

Image Transcriptionclose

Mass of barge, m=1000 kg Force, F 80.0N Angle of inclination of F, 0-30.0° Force, F120.0N

fullscreen
Step 2

Calculations:

The free body diagram of barge is given by,

N
F2
F1
309
a
F2Sina
FISin
Barge
help_outline

Image Transcriptionclose

N F2 F1 309 a F2Sina FISin Barge

fullscreen
Step 3

The equation of force acting on the ba...

F sin a
Fsin0
Substituting the given values,
80.0 sin (30) 120.0 sin (a)
40.0 0.33
sin(a)120.0
a sin(0.33
a 19.47°
help_outline

Image Transcriptionclose

F sin a Fsin0 Substituting the given values, 80.0 sin (30) 120.0 sin (a) 40.0 0.33 sin(a)120.0 a sin(0.33 a 19.47°

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

Other

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: In a classroom demonstration, an 820 N student lies on a bed of sharp, evenly spaced, vertical nails...

A: (a)The average force exerted by the nail on the student’s body is,Here, W is the total weight of the...

question_answer

Q: What is the wavelength of a radio wave of frequency 101.1 MHz(one of the frequencies in the FM band)

A: The wavelength of a wave of particular frequency can be calculated using following equation.

question_answer

Q: In the hydraulic press used in a trash compactor, the radii of the input piston and the output plung...

A: Given,

question_answer

Q: a test rocket is falling downward at a constant speed (however, it is acceleration in the horizontal...

A: Thank you for the question. Since, we are entitled to answer up to 3 sub-parts, we’ll answer the fir...

question_answer

Q: VectorA⃗points in the negativeydirection and has a magnitude of 15 units. Vector B has twice the mag...

A: Part c)The vector representation of A and B is,

question_answer

Q: The figure shows wire 1 in cross section; the wire is long and straight, carries a current of 4.12 m...

A: The magnetic force per unit length on wire 2 due to wire 1, will be:

question_answer

Q: An object that weighs 75 N is pulled on a horizontal surface by a horizontal pull of 50 N to the rig...

A: Given weight of the object =75 NWeight = mg =75Mass of the object = 75/g = 75/9.8  = 7.653 kg.Pullin...

question_answer

Q: In the figure, a climber leans out against a vertical ice wall that has negligible friction. Distanc...

A: Let m be the mass of the climber, for the equilibrium condition the net torque and net force will be...

question_answer

Q: a box is moved 10 m across a smooth floor by a force making a downward angel with the floor, so that...

A: Work done is,