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
yawa3891 [41]
3 years ago
13

A school bus has a mass (including the driver and passengers) of 1.64 times 10^4 kg and is driving north at a speed of 15.2 km/h

. Another school bus whose empty mass is 1.578 times 10^4 kg is moving south at a speed of 12.2 km/h. Assuming an average passenger mass of 64.8 kg, what is the minimum number of passengers (including the driver) of the southbound bus so that the total momentum of the two buses is directed south?
Physics
1 answer:
Butoxors [25]3 years ago
5 0

Answer:

Explanation:

Given

mass of bus along with travelers travelling in North direction is m_1=1.6\times 10^4 kg

speed of bus towards North v_1=15.2 km/h\approx 4.22\ m/s

mass of bus travelling in South direction is m_2=1.578\times 10^4 kg

speed of bus v_2=12.2 km/h\approx 3.38\ m/s

mass of each Passenger in south moving bus m_0=64.8 kg

Momentum of North moving bus

P_1=m_1\times v_1

P_1=1.6\times 10^4\times 4.22

P_1=6.768\times 10^4 kg-m/s

Momentum with south moving bus

P_2=m_2\times v_2+n\cdot m_0\times v_2

P_2=(1.578\times 10^4+n\cdot 64.8 )\cdot 3.38

For total momentum to be towards south

P_2-P_1 should be greater than 0

thus for least value of n

P_2=P_1

(1.578\times 10^4+n\cdot 64.8 )\cdot 3.38=6.768\times 10^4

1.578\times 10^4+n\cdot 64.8=2.0023\times 10^4

n=\frac{4243.6686}{64.8}=65.48\approx 66    

You might be interested in
When the area of block increases for constant force, the
Lemur [1.5K]

Answer: B

adding force will add accesion

7 0
2 years ago
Read 2 more answers
What are the effects of global warming in simple words?
alukav5142 [94]
Answer is Global Warming causes destruction of our ecosystem due to increased temperatures, drought, fire, weed and pest infestations, more intense storms, water shortages, melting ice caps and glaciers, air pollution.

3 0
1 year ago
The drag force that resists the motion of a car traveling at 80 km h^- 1 is 300 N.
kobusy [5.1K]

The power require to keep the car traveling is 6,666 W.

The power of the engine at the given efficiency is 3,999.6 W.

<h3>What is Instantaneous power?</h3>

This the product of force and velocity of the given object.

The power require to keep the car traveling is calculated as follows;

P = Fv

P = 300\ N \ \times  \ \frac{80 \ kmh^{-1}}{3.6 \ km h^{-1}/m/s} \\\\&#10;P = 300 \ N \times 22.22 \ m/s\\\\&#10;P = 6,666 \ W

The power of the engine at the given efficiency is calculated as follows;

E = \frac{P_{out}}{P _{in}} \times 100\%\\\\&#10;60\% = \frac{P_{out}}{6,666} \times 100\%\\\\&#10;0.6 = \frac{P_{out}}{6,666} \\\\&#10;P_{out} = 3,999.6 \ W

Learn more about efficiency here: brainly.com/question/15418098

8 0
2 years ago
The heat energy gained by the water in one minute is ?
kari74 [83]
<span>fast-moving particles colliding with slow-moving particles</span>
7 0
3 years ago
4. A 1,000 kg truck moving at 10 m/s runs into a concrete wall. It takes 0.5 seconds for the truck to conipietery
Maru [420]

Answer:

\large \boxed{\text{h. 20 000 N}}  

Explanation:

Force is the change in momentum over time

F = Δp/Δt

1. Calculate the change in momentum

p₁ = mv₁ = 1000 kg × 10 m/s = 10 000 kg·m·s⁻¹

p₂ = 0

Δp = p₂ - p₁= (0 - 10 000) kg·m·s⁻¹ = -10 000 kg·m·s⁻¹

2. Calculate the force

\begin{array}{rcl}F & = & \dfrac{\Delta p}{\Delta t}\\\\& = & \dfrac{-10 000 \text{ kg$\cdot$m$\cdot$ s}^{-1}}{\text{ 0.5 s}}\\\\& = & \textbf{-20 000 N}\\\end{array}\\\text{The negative sign shows that the force is exerted opposite to the direction of motion.}\\\text{The magnitude of the force is $\large \boxed{\textbf{20 000 N}}$}

3 0
3 years ago
Read 2 more answers
Other questions:
  • How can two objects have different mass and volume yet have the same density?
    15·1 answer
  • In a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so
    15·1 answer
  • A term used to describe water that is safe to drink?
    15·1 answer
  • A 730 N student stands in the middle of a frozen pond having a radius of 5.8 m. He is unable to get to the other side because of
    8·1 answer
  • Which of the following best describes chemical weathering?
    10·2 answers
  • Electromagnets can be used to lock doors. How could an engineer increase the strength of an electromagnetic lock? Check all that
    6·1 answer
  • A science teacher ran a marathon. After the race she showed her students the silver blanket she was given to keep her warm.A gro
    5·1 answer
  • A bromine atom has an atomic number of 35 and an atomic mass of 80. What is the structure of this atom?
    12·2 answers
  • What is the meaning of length based on scientific measurements?
    7·2 answers
  • Based on the tug of war pictured below, what is the net force? –190 N 10 N –10 N 190 N.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!