1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
evablogger [386]
3 years ago
5

One end of a 34-m unstretchable rope is tied to a tree; the other end is tied to a car stuck in the mud. The motorist pulls side

ways on the midpoint of the rope, displacing it a distance of 2 m (assume the car slides forward slightly in response to this, but then become stuck again). If he exerts a force of 87 N under these conditions, determine the force exerted on the car. Round your answer to one decimal place.

Physics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

Fc = 89.67N

Explanation:

Since the rope is unstretchable, the total length will always be 34m.

From the attached diagram, you can see that we can calculate the new separation distance from the tree and the stucked car H as follows:

L1+L2=34m

L1^2=L2^2=L^2=2^2+(H/2)^2  Replacing this value in the previous equation:

\sqrt{2^2+H^2/4}+ \sqrt{2^2+H^2/4}=34  Solving for H:

H=\sqrt{52}

We can now, calculate the angle between L1 and the 2m segment:

\alpha = atan(\frac{H/2}{2})=60.98°

If we make a sum of forces in the midpoint of the rope we get:

-2*T*cos(\alpha ) + F = 0  where T is the tension on the rope and F is the exerted force of 87N.

Solving for T, we get the tension on the rope which is equal to the force exerted on the car:

T=Fc=\frac{F}{2*cos(\alpha) } = 89.67N

You might be interested in
A straight wire segment 5 m long makes an angle of 30° with a uniform magnetic field of 0.37 T. Find the magnitude of the force
SIZIF [17.4K]

Answer:

The magnitude of the force on the wire is 2.68 N.

Explanation:

Given that,

Length of the wire, L = 5 m

Magnetic field, B = 0.37 T

Angle between wire and the magnetic field, \theta=30^{\circ}

Current in the wire, I = 2.9 A

We need to find the magnitude of the force on the wire. The magnetic force in the wire is given by :

F=BIL\ \sin\theta\\\\F=0.37\ T\times 2.9\ A\times 5\ m\times \ \sin(30)\\\\F=2.68\ N

So, the magnitude of the force on the wire is 2.68 N. Hence, this is the required solution.

7 0
3 years ago
Which process do single-celled organisms go through to reproduce asexually?
andrezito [222]
The answer is A-Mitosis
7 0
2 years ago
please help! easy science! second pic is the question and possible answers (A B C or D) its one question! brainliest promised!
kirza4 [7]

Answer:

Please do not take my word for this at all, but this is what I found, "When the pendulum swings back down, the potential energy is converted back into kinetic energy. At all times, the sum of potential and kinetic energy is constant." So I think the answer is B also you are anime fan too lol :DD I love hinata

Explanation:

4 0
2 years ago
A crate is acted upon by a net force of 100N. An acceleration of 5.0 m/s^2 results. What is the rate of the crate?
andreev551 [17]
Is there any other information given? I don't think you can solve this without a time
6 0
3 years ago
Light can travel from the sun to ________ in less than ten minutes.
Solnce55 [7]
To the Earth in less than ten minutes. 
5 0
3 years ago
Other questions:
  • Two technicians are discussing a problem where the brake pedal travels too far before the vehicle starts to slow. Technician A s
    15·1 answer
  • Which of these statements suggests that the orbital period of Venus is shorter than that of Saturn?
    7·1 answer
  • When an object oscillating in simple harmonic motion is at its maximum displacement from the equilibrium position, which of the
    15·1 answer
  • What happens when oxygen reacts with sodium?
    10·1 answer
  • In an experiment performed in a space station, a force of 60n causes an object to have an acceleration equal to 4m/s s .what is
    10·1 answer
  • What is gravitational potential energy?
    10·1 answer
  • If you run with an average speed of 3.9 meters per second for 1,200 seconds, then what distance will you have traveled?
    12·1 answer
  • A periodic wave of frequency f and speed v travel what distance in one period?
    7·1 answer
  • What is in the center of our galaxy?
    5·2 answers
  • If a 50 kg box was accelerated to 10 m/s2, how much force was used?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!