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
algol13
11 months ago
11

A 1,103 kg car traveling at 18 m/s to the south collides with a 4,919 kg truck that is initially at rest at a stoplight. The car

and the truck stick together and move together after the collision. What is the final velocity of the two-vehicle mass? Round to the hundredths place.
Physics
1 answer:
Zigmanuir [339]11 months ago
8 0

ANSWER

3.30\text{ m/s}

EXPLANATION

Parameters given:

Mass of car, mc = 1103 kg

Mass of truck, mt = 4919 kg

Initial velocity of car, uc = 18 m/s

Inital velocity of truck = 0 m/s

To solve this problem, we have to apply the law of conservation of momentum, which states that the total momentum of a system is constant.

This implies that:

m_cu_c+m_tu_t=m_cv_c+m_tv_t

Since the car and the truck stick together after the collision, they will have the same final velocity.

Hence:

m_cu_c+m_tu_t=(m_c+m_t)v_{}_{}

Substitute the given values and solve for v (final velocity):

\begin{gathered} (1103\cdot18)+(4919\cdot0)=(1103+4919)v \\ \Rightarrow19854=6022v \\ \Rightarrow v=\frac{19854}{6022} \\ v=3.30\text{ m/s} \end{gathered}

That is the final velocity of the two-vehicle mass.

You might be interested in
An ice-making machine inside a refrigerator operates in a Carnot cycle. It takes heat from liquid water at 0.0 ∘C and rejects he
Agata [3.3K]

Answer:

2.36 x 10^6 J

Explanation:

Tc = 0°C = 273 K

TH = 22.5°C = 295.5 K

Qc = heat used to melt the ice

mass of ice, m = 85.7 Kg

Latent heat of fusion, L = 3.34 x 10^5 J/kg

Let Energy supplied is E which is equal to the work done

Qc = m x L = 85.7 x 3.34 x 10^5 =  286.24 x 10^5 J

Use the Carnot's equation

\frac{Q_{H}}{Q_{c}}=\frac{T_{H}}{T_{c}}

Q_{H}=286.24\times 10^{5}\times \frac{295.5}{273}

QH = 309.8 x 10^5 J

W = QH - Qc

W = (309.8 - 286.24) x 10^5

W = 23.56 x 10^5 J

W = 2.36 x 10^6 J

Thus, the energy supplied is 2.36 x 10^6 J.

8 0
3 years ago
What happens to the image when u make the hole bigger in a pinhole camera?​
marta [7]

Answer:

more light enters and disturbs the formation of the image.

7 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST! QUICK PLEASE HELP!!!
LenKa [72]

Answer:Weight is the result of gravity . The gravitational field strength of Earth is 10 N/kg (ten newtons per kilogram). This means an object with a mass of 1 kg would be attracted towards the centre of Earth by a force of 10 N. We feel forces like this as weight.

Explanation:

3 0
2 years ago
Read 2 more answers
An oscillator consists of a block of mass 0.628 kg connected to a spring. When set into oscillation with amplitude 27 cm, the os
oksian1 [2.3K]

Answer:

T=0.372 s, f=2.7 Hz, w=16.9 rad/s, k=179.2 N/m, v= 8.78 m/s, F= 48.4 N

Explanation:

a.)

Period: It is already given in the question "oscillator repeats its motion every 0.372 s".

So T=0.372 s

b)

frequency= f = 1/ T

f = 1/ 0.372

f=2.7 Hz

c).

Angular frequency= w= 2πf

w= 2*π*2.7

w=16.9 rad/s

d)

Spring Constant:

As w=\sqrt{k/m}

⇒w²= k/m

⇒k= m*w²

⇒k= 0.628 * 16.9² N/m

⇒k=179.2 N/m

e)

The mass will have maximum speed when it passes through the mean position.

At mean position

Maximum elastic potential energy = Maximum kinetic energy

1/2 k A² = 1/2 m v²    ( A is amplitude of oscillation)

⇒ v=\sqrt{k A^2/m}

⇒ v= \sqrt{179.2 * 0.27/ 0.628}\

⇒ v= 8.78 m/s

f)

Maximum force will be exerted on the block when it is at maximum distance.

F= k* A   ( A is amplitude of oscillation)

F= 179.2 * 0.27 N

F= 48.4 N

5 0
3 years ago
Which of these does not depend on a close binary system to occur?
Alinara [238K]

Answer:

B type ii supernova is the right answer

6 0
1 year ago
Other questions:
  • What are the magnitude and direction of the acceleration of an electron at a point where the electric field has magnitude 7400 N
    13·1 answer
  • Calculate the speed of light if the wavelength is 3cm and the period is 1*10^-10
    10·1 answer
  • What do radio waves and microwaves have in common?
    8·2 answers
  • Select all that apply. Marks of the Gupta society included: all male citizens could own property an established caste system wom
    7·2 answers
  • An old wheat-grinding wheel in a museum actually works. The sign on the wall says that the wheel has a rotational acceleration o
    14·1 answer
  • A 4.45 g object moving to the right at 18.6 cm/s makes an elastic head-on collision with an 8.9 g object that is initially at re
    15·1 answer
  • The speed of a car changes from 15 m/s to 55 m/s in 10 sec. find the Acceleration​
    10·2 answers
  • Which of the following are examples of etiquette? Check all of the boxes that apply.
    7·1 answer
  • Spring stretches 14 cm when an object weighing 28 n is hung from it. what is the spring constant
    5·1 answer
  • Consider a river flowing toward a lake at an average velocity of 3 m/s at a rate of 510 m3/s at a location 90 m above the lake s
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!