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
Andrei [34K]
3 years ago
8

A 2137 kg car moving east at 12.91 m/s collides with a 3264 kg car moving north. The cars stick together and move as a unit afte

r the collision, at an angle of 36.8 ◦ north of east and at a speed of 6.38 m/s. What was the speed of the 3264 kg car before the collision? Answer in units of m/s.
Physics
1 answer:
IRINA_888 [86]3 years ago
6 0

Answer:

The speed of the 3264 kg car before collision is 6.32 m/s

Explanation:

Let first car, mass m₁, moving east be moving with velocity, v₁ and second car, mass m₂, moving north be moving with velocity, v₂. Let the velocity of the two cars after collision be v₃

In a Collison (whether elastic or inelastic), momentum is always conserved.

Momentum before collision = momentum after collision.

Momentum before collision = m₁v₁ + m₂v₂

v₁ = (12.91î) m/s in vector form, m₁ = 2137 kg

v₂ = ?, v₂ = (v₂j) m/s in vector form, m₂ = 3264 kg

Momentum before collision = (2137)(12.91î) + (3264)(v₂j) = (27590î + 3264v₂j) kgm/s

Momentum after collision = (total mass of the cars after collision) × (velocity of the stuck-together cars after collision)

Total mass of the cars after collision = m₁ + m₂ = 2137 + 3264 = 5401 kg

Velocity after collision, v₃ = 6.38 m/s In the N36.8°E direction, put in vector form,

v₃ = (6.38 cos 36.8°î + 6.38 sin 36.8°j)

v₃ = (5.11î + 3.82j) m/s

Momentum after collision = 5401 (5.11î + 3.82j) = (27590î + 20641.4j) kgm/s

Momentum before collision = momentum after collision.

(27590î + 3264v₂j) = (27590î + 20641.4j)

Comparing components

3264v₂ = 20641.4j

v₂ = 6.32 m/s

Hope this Helps!!!

You might be interested in
Everybody can you post the lyrics to your favorite song? I'll give brainliest if I know the song or if I like the lyrics, I'll b
andrezito [222]

Answer:

Show and tell

I'm on display for all you (bad word) to see

Show and tell

Harsh words if you don't get a pic with me

Buy and sell (buy and sell me, baby)

Like I'm a product to society

Art don't sell

Unless you (bad word) every authority

Explanation:

4 0
2 years ago
Read 2 more answers
Some coastal regions of the world have cooler summers and warmer winters than inland regions at the same latitude. What accounts
maks197457 [2]
Water holds in heat very well. Keep the temperature more steady and average. The areas around the water will also have a less variant change in temperature as a result. This property of water is known as high specific heat.
8 0
3 years ago
DEVELOP SCIENCE CONCEPTS What kind of habitat do animals in<br> your community live in?
hammer [34]

Answer:

We live in a very adaptable environment. If we cannot adapt to the environment, we will not be able to survive.

Explanation:

5 0
3 years ago
Transverse waves are generally stronger than longitudinal waves. True or False ?
kondaur [170]
False
If all other factors, such as medium, are kept the same, longitudinal waves tend to be stronger.
8 0
3 years ago
A hollow cast-iron cylinder 4m long, 300mm outer diameter, and thickness of metal 50mm is subjected to a central load on the top
Sveta_85 [38]

Here, the calculated Magnitude of the load P is 2945.2 kN, the Longitudinal strain produced is 0.0005 and the decrease in length is 2 mm.

Given,

Length, L = 4 m

Outer diameter, D = 300mm, D= 0.3 m

Thickness, t = 50 mm, t = 0.05 m

Stress produced, σ = 75000 kN/m²

Young's modulus for cast iron, E = 1.5 x 10⁸ kN/m²

Calculating the diameter of the cylinder,

Diameter of cylinder, d = (D) – (2t) = 0.3 –( 2 × 0.05)

d= 0.2 m

(i) Magnitude of the load P:

Using the relation, σ =P/A

P = σ × A = 75000 × π /4 (D² – d² )

P= 75000 × π/4 (0.3² – 0.2²)

P= 75000 × π/4 (0.09 – 0.04)

P = 2945.2 kN

Hence, Magnitude of the load P is 2945.2 kN.

(ii) Longitudinal strain produced, e :

Using the relation, Strain, (e) = stress/E

e= 75000/(1.5 x 10⁸)= 0.0005

Hence, the Longitudinal strain produced is 0.0005.

(iii)Total decrease in length, dL:

The total decrease in length can be calculated using the strain as the ratio of change in length to the original length is known as Strain.

Strain = change in length/original length

e= dL/L

0.0005 = dL/4

dL = 0.0005 × 4m = 0.002m=2mm

Hence,the decrease in length is 2 mm.

Learn more about Elasticity here:

brainly.com/question/15230910

#SPJ10

5 0
2 years ago
Other questions:
  • How many foot-pounds of work does it take to throw a baseball 90 mph? a baseball weighs 5 oz, or 0.3125 lb?
    10·1 answer
  • The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively. Because of these charges, a
    5·1 answer
  • A ball is launched at an angle of 39.8 degrees up from the horizontal, with a muzzle velocity of 6.6 meters per second, from a l
    5·1 answer
  • Sully uses a battery and a coil of wire to create an electromagnet. Using the same materials, if he wants to increase the streng
    9·2 answers
  • One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While your opponent is watching this
    14·1 answer
  • A block of weight mg sits on an inclined plane as shown in (Figure 1) . A force of magnitude F1 is applied to pull the block up
    13·1 answer
  • . A 2.0-m wire carries a current of 15 A directed along the positive x axis in a region where the magnetic field is uniform and
    5·1 answer
  • Car B is rounding the curve with a constant speed of 54 km/h, and car A is approaching car B in the intersection with a constant
    6·1 answer
  • In a line graph the dependent variable is plotted on the
    6·1 answer
  • While watching a planet orbiting a star, you notice that the doppler shift in the light of the star is becoming increasingly blu
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!