Question

A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.

273

likes
1367 views

Answer to a math question A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.

Expert avatar
Brice
4.8
110 Answers
Para calcular la aceleración, utilizamos la fórmula de aceleración:

a = \frac{v_f - v_i}{t}

Donde:
a = aceleración
v_f = velocidad final
v_i = velocidad inicial
t = tiempo

En este caso, la velocidad inicial (v_i) es igual a 30 km/h, la velocidad final (v_f) es igual a 0 km/h (ya que el autobús se detiene por completo) y el tiempo (t) es igual a 15 segundos.

Convertimos la velocidad de km/h a m/s:
v_i = 30 \times \frac{1000}{3600} = 8.33 \, \text{m/s}

Sustituimos los valores en la fórmula de aceleración:
a = \frac{0 - 8.33}{15} = -0.55 \, \text{m/s}^2

Por lo tanto, la aceleración del autobús es de -0.55 \, \text{m/s}^2.

Para calcular la fuerza que actúa sobre el cuerpo, utilizamos la segunda ley de Newton:

F = m \cdot a

Donde:
F = fuerza
m = masa
a = aceleración

En este caso, la masa (m) del autobús es de 20,000 kg y la aceleración (a) es de -0.55 m/s^2.

Sustituimos los valores en la fórmula de la fuerza:
F = 20,000 \cdot (-0.55) = -11,000 \, \text{N}

Por lo tanto, la fuerza que actúa sobre el cuerpo del autobús es de -11,000 \, \text{N}.

\textbf{Respuesta:}
La aceleración del autobús es de -0.55 \, \text{m/s}^2 y la fuerza que actúa sobre el cuerpo es de -11,000 \, \text{N}.

Frequently asked questions (FAQs)
What is the value of sinh(3) - cosh(2)
+
What is the maximum value for the function f(x) = x^2 - 4x + 5 on the interval [0, 4]?
+
What is the equation of an exponential function with a base of 3, passing through the point (2, 9)?
+
New questions in Mathematics
a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?
5 . {2/5 + [ (8/-9) - (1/-7) + (-2/5) ] ÷ (2/-5)} . 8/15
11(4x-9)= -319
Solve: −3(−2x+23)+12=6(−4x+9)+9.
Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.
How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?
132133333-33
Find the measures of the sides of ∆KPL and classify each triangle by its sides k (-2,-6), p (-4,0), l (3,-1)
Moaz wanted to test whether the level of headache pain (on a scale of 1 – 10) changes after taking Advil. He collected data from 9 participants and calculated the difference in headache pain before and after taking Advil (summarized in the table below). Determine W observed for this test. Difference Scores -2 -4 0 +1 +3 -2 0 -3 -5 Also, What is the degrees of freedom for this test?
Divide 22 by 5 solve it by array and an area model
Estimate the fifth term if the first term is 8 and the common ratio is -1/2
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
We have spent 1/4 of the inheritance on taxes and 3/5 of the rest on buying a house. If the inheritance was a total of €150,000 How much money do we have left?
3. A rock is dropped from a height of 16 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤3) is given by s(t)=-2t2 + 16. Find the average velocity of the rock over [0.2,0.21] time interval.
With the aim of identifying the presence of the feline leukemia virus (FeLV), blood samples were collected from cats sent to a private veterinary clinic in the city of Belo Horizonte. Among the animals treated, it was possible to observe that age followed a Normal distribution with a mean of 4.44 years and a standard deviation of 1.09 years. Considering this information, determine the value of the third quartile of the ages of the animals treated at this veterinary clinic. ATTENTION: Provide the answer to exactly FOUR decimal places
User One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number s(t), this function s is called the clockwise function of the movement. By deriving the time function we obtain the velocity function at time t, denoted by v(t). A body has a time function that determines its position in meters at time t as S(t)=t.³√t+2.t . Present the speed of this body at time t = 8 s.
Let v be the set of all ordered pairs of real numbers and consider the scalar addition and multiplication operations defined by: u+v=(x,y)+(s,t)=(x+s+1,y+t -two) au=a.(x,y)=(ax+a-1,ay-2a+2) It is known that this set with the operations defined above is a vector space. A) calculate u+v is au for u=(-2,3),v=(1,-2) and a=2 B) show that (0,0) #0 Suggestion find a vector W such that u+w=u C) who is the vector -u D) show that axiom A4 holds:-u+u=0
How to factorise 5y^2 -7y -52
nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north
if y=1/w^2 yw=2-x; find dy/dx