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
Volgvan
3 years ago
10

8. An ant on a picnic table travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is the ant's displace

ment, angle, and direction
relative to its original position?
Physics
1 answer:
wel3 years ago
5 0

Answer:

The displacement of the ant, R = 29.15 cm

The angle of the resultant displacement with its original position is, θ = 30° 57'

The direction of the displacement is towards the northeast.  

Explanation:

Given data,

The displacement towards east, d₁ = 30 cm

The displacement towards north, d₂ = 25 cm

The displacement towards  west, d₃ = 15 cm

The total displacement towards east,

                                       d₄ = d₁ - d₃

                                           = 30 - 15

                                           = 15 cm

The total displacement of ant is given by the resultant displacement,

                            R = √(d₂² + d₄² + 2· d₂ d₄ CosФ)

Where Ф is the angle between the vectors, d₂ & d₄

                                                Ф = 90°

Therefore,

                               R = √(d₂² + d₄²)

Substituting in the above equation,

                               R = √(25² + 15²)

                                  = 29.15 cm

Hence, the displacement of the ant, R = 29.15 cm

The angle of the resultant displacement with its original position is,

                                θ = tan⁻¹ (d₄ / d₂)

                                   = tan⁻¹ (15 / 25)

                                   = tan⁻¹ 0.6

                                   = 30° 57'

Hence, the angle of the resultant displacement the its original position is, θ = 30° 57'

The direction of the displacement is towards the northeast.                                            

You might be interested in
What does WNBA stand for
Alexeev081 [22]

Answer:The Women's National Basketball Association,

Explanation:Branliest:)

6 0
3 years ago
Read 2 more answers
Energy that is transferred from a warmer object to a cooler object is called
alukav5142 [94]

Answer:

Heat

Explanation:

Energy that is transferred from a warmer object to a cooler object is called heat.

3 0
2 years ago
Read 2 more answers
Freight car A with a gross weight of 200,000 lbs is moving along the horizontal track in a switching yard at 4 mi/hr. Freight ca
zhenek [66]

Answer: a) 4.7 mi/hr.  b) 86,500 lbs. mi²/Hr²

Explanation:

As in any collision, under the assumption that no external forces exist during the very small collision time, momentum must be conserved.

If the collision is fully inelastic, both masses continue coupled each other as a single mass, with a single speed.

So, we can write the following:

p₁ = p₂ ⇒m₁.v₁ + m₂.v₂ = (m₁ + m₂). vf

Replacing by the values, and solving for vf, we get:

vf = (200,000 lbs. 4 mi/hr + 100,000 lbs. 6 mi/hr) / 300,000 lbs = 4.7 mi/hr

If the track is horizontal, this means that thre is no change in gravitational potential energy, so any loss of energy must be kinetic energy.

Before the collision, the total kinetic energy of the system was the following:

K₁ = 1/2 (m₁.v₁² + m₂.v₂²) = 3,400,000 lbs. mi² / hr²

After the collision, total kinetic energy is as follows:

K₂ = 1/2 ((m₁ + m₂) vf²) = 3,313,500 lbs. mi²/hr²

So we have an Energy loss, equal to the difference between initial kinetic energy and final kinetic energy, as follows:

DE = K₁ - K₂ = 86,500 lbs. mi² / hr²

This loss is due to the impact, and is represented by the work done by friction forces (internal) during the impact.

8 0
3 years ago
A convex mirror is placed to the right of an object. The image formed by the mirror will be a
kotegsom [21]

Answer:If you look at the image of the toy car in the mirror, it will appear to be the same ... However, there is a virtual focal point on the other side of the mirror if we follow them ... Concave mirrors, on the other hand, can have real images. ... Naturally, in concave mirror, the closer the image to the mirror, the bigger the image formed.

8 0
2 years ago
Read 2 more answers
Which statements accurately describe electronic tools? Check all that apply.
levacccp [35]

Answer:

Electronic tools provide accurate data

Explanation:

The sentence "Electronic tools provide accurate data analysis" is the only correct of all the options shown, because it is the only sentence that describes a characteristic present in all the electronic tools. The other options are not all electronic tools, but each option represents a type of electronic tool, depending on the time and technology used to build the tool.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Make a list of possible consequenes of solar flares to the following members of your community
    11·1 answer
  • There are many different mediums that waves travel through. What type of wave causes distortion of a medium?
    14·1 answer
  • Describing Momentum Calculatthe momentum of cars A and answer the question Car A: Mass: 1,000 kilograms Velocity: 40 meters/seco
    10·2 answers
  • How long will the cylinder last at the given flow rate is the pressure is 1000 psi?
    9·1 answer
  • a car moves at 12m/s and coasts up a hill with a uniform acceleration of -1.6m/s2. how far has it traveled after 6.0s?
    13·1 answer
  • What is the basis for rutherford's planetary model?
    7·1 answer
  • What is the potential energy of a 150 kg diver standing on a diving board that is 10 m high?
    5·2 answers
  • How can gravitational energy play an important part of my life
    11·1 answer
  • What are the major forces that drive patterns of atmospheric movement?<br>help plz i being timed
    12·1 answer
  • if a car is accelerating downhill under a net force of 3674 N, what additional force would cause the car to have a constant velo
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!