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
vredina [299]
3 years ago
8

A vector that is 1 cm long represents a displacement of 21 km. How many kilometers are represented by a 3-cm vector drawn to the

same scale?
Physics
1 answer:
koban [17]3 years ago
5 0

The 3 cm vector represents 63 km.

Since a 1 cm long vector represents a displacement of 21 km, we need to find the number of kilometers a 3 cm vector represents.

Let x represent the displacement the 3 cm vector represents.

By ratio, we have 1 cm: 21 km = 3 cm : x

So, 1 cm/21 km = 3 cm/x

Cross-multiplying, we have

x × 1 cm = 3 cm × 21 km

x = 3 cm × 21 km/1 cm

x = 63 km

So, the 3 cm vector represents a displacement of 63 km.

Learn more about displacement here:

brainly.com/question/17673000

You might be interested in
Three point charges are placed at distances of d , 2 d , and 3 d from a point P. The particle that is 2 d away from P has a char
mel-nik [20]

Answer:

at d the charge will be 3q and at 3d it will be 9q

Explanation:

for V=Vp-V2d

V=KQ/d=K*6q/2d=3kq/d for potential to 2d at 6q be zero the Vp will equal 3kq/d; hence at d, Q=3q and at 3d, Q=9q

7 0
3 years ago
How much energy has 4×10^10m^3 of water collected in a reservoir at a hight of 100 m from the power house ?What kind of energy i
sveticcg [70]

Answer:

PE = 3.92x10^16J

potential energy

Explanation:

PE = m*g*h

mass of water = 1000kg/m³

(4*10^10m³)*1000kg = 4*10^13kg

PE = (4*10^13kg)*(9.81m/s²)*(100m)

PE = 3.92x10^16J

7 0
3 years ago
A dog running at 10 m/s is 30m behind a rabbit moving at 5 m/s. when will the dog catch up with the rabbit assuming both their v
dedylja [7]

The will dog catch up with the rabbit in 6 minutes assuming both their velocities remain constant during the chase.

<h3>What time will the dog catch the rabbit?</h3>

The time that the dog will catch up with the rabbit is given as follows:

Let the distance covered by the rabbit be x.

Distance covered by dog = x + 30

  • Time taken = distance/speed

The time taken will be the same T

  1. Time taken by dog, T = (x + 30)/10
  2. Time taken by rabbit, T = x/5

Equating both times.

(x + 30)/10 = x/5

x = 30 m

Solving for T in equation (ii);

T = 30/5 = 6 minutes

In conclusion, time is obtained as a ratio of distance and speed.


Learn more about time and speed at: brainly.com/question/26046491

#SPJ1

7 0
2 years ago
What is the frequency of light with a wavelength of 7.9 x 10^-9 m? ( the speed of light is 3.00 x 10^8)
nlexa [21]
Using the formula v=f times lambada
then v=the speed of light.
and f=what’s we’re looking for
and lambada=the wavelength.

so then you sub what you have (v and lambada) in the formula.
then multiply the frequency(f) by the given wavelength and then solve for f

3 0
3 years ago
A weather balloon is partially inflated with helium gas to a volume of 2.0 m³. The pressure was measured at 101 kPa and the temp
Yanka [14]

Answer:

4.7 m³

Explanation:

We'll use the gas law P1 • V1 / T1 = P2 • V2 / T2

* Givens :

P1 = 101 kPa , V1 = 2 m³ , T1 = 300.15 K , P2 = 40 kPa , T2 = 283.15 K

( We must always convert the temperature unit to Kelvin "K")

* What we want to find :

V2 = ?

* Solution :

101 × 2 / 300.15 = 40 × V2 / 283.15

V2 × 40 / 283.15 ≈ 0.67

V2 = 0.67 × 283.15 / 40

V2 ≈ 4.7 m³

7 0
2 years ago
Other questions:
  • The air pressure inside the tube of a car tire is 430 kPa at a temperature of 13.0 °C. What is the pressure of the air, if the t
    5·1 answer
  • For a plane mirror,how is the object s related to the distance s?
    6·1 answer
  • During times of stress, Yanira notices that her heart pounds a little faster than normal. What part of the brain is responsible
    6·2 answers
  • The index of refraction of a thin lens is 1.5. Its one surface is convex (radius of curvature 20 cm) and the other planar. Calcu
    15·1 answer
  • What drug is an illegal stimulant
    8·1 answer
  • How long will the energy in a 1470-kJ (350-kcal) cup of yogurt last in a woman doing work at the rate of 150 W with an efficienc
    12·1 answer
  • A 1200 kg truck is moving to the right at the speed of 30 m/s. It hit another identical truck that was at rest. The two trucks s
    10·1 answer
  • How do you think the weight and the lift should not be one of the same magnitude​
    5·1 answer
  • 29. Jorge is conducting an investigation into perfectly inelastic collisions using equipment where two carts collide with
    11·1 answer
  • the taipei 101 in taiwan is a 1667-foot tall, 101-story skyscraper. the skyscraper is the home of the world's fastest elevator.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!