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
velikii [3]
2 years ago
9

A van has a weight of 4000 lb and center of gravity at Gv. It carries a fixed 900 lb load which has a center of gravity at Gl. I

f the van is traveling at 40 ft/s, determine the distance it skids before stopping. The brakes cause all the wheels to lock or skid. The coefficient of kinetic friction between the wheels and the pavement is . Assume that the two rear wheels are one normal, NB, and the two front wheels are one normal, NA.
Physics
1 answer:
natulia [17]2 years ago
5 0

Answer:

 x = 25 / μ     [ ft]

Explanation:

To solve this exercise we can use Newton's second law.

Let's set a reference system where the x axis is parallel to the road

Y axis  

       N_B + N_A - W_van - W_load = 0

       N_B + N_A = W_van + W_load

X axis

     fr = ma

     a = fr / m

the total mass is

        m = (W_van + W_load) / g

the friction force has the expression

      fr = μ N_{total}

      fr = μy (W_van + W_load)

we substitute

      a = μ (W_van + W_load)    \frac{g}{W_van + W_load}

      a = μ g

taking the acceleration let's use the kinematic relations where the final velocity is zero

       v² = v₀² - 2 a x

       0 = v₀² -2a x

        x = \frac{v_o^2}{2a}

        x = \frac{v_o^2}{2 \mu g}

        x = \frac{40^2}{2 \ 32 \  \mu}

        x = 25 / μ     [ ft]

You might be interested in
A centripetal force of 5.0 newtons is applied to a rubber stopper moving at a constant speed in a horizontal circle. If the same
mezya [45]

Answer:

Both the frequency f and velocity v will increase.

When the radius reduces, the circumference of the circular path becomes smaller which means that more number of revolutions can be made per unit time as long as the force is kept constant; this is an increase in frequency.

Explanation:

The centripetal force acting on a mass in circular motion is given by equation (1);

F_c=\frac{mv^2}{r}....................(1)

where m is the mass of the object and r is radius of the circle. From equation one we see that the centripetal force is directly proportional to the square of the velocity and inversely proportional to the radius of the circular path.

However, according to the problem, the force is constant while the radius and the velocity changes. Therefore we can write the following equation;

\frac{mv_1^2}{r_1}=\frac{mv_2^2}{r_2}......................(2)

Also recall that m is constant so it cancels out from both sides of equation (2). Therefore from equation we can write the following;

v_2=\sqrt{\frac{v_1^2r_2}{r_1}} .................(2)

By observing equation (2) carefully, the ratio \frac{r_2}{r_1} will with the square root increase v_1 since r_2 is lesser than r_1.

Hence by implication, the value of v_2 will be greater than v_1.

As the radius changes from r_1 to r_2, the velocity also changes from v_1 to v_2.

3 0
3 years ago
Suppose you pull two opposite sides of the loop away from each other, such that the other two sides get closer, reducing the loo
HACTEHA [7]

Answer:

Explanation:

Magnetic field is oriented downwards . area of loop is decreasing so downward flux is decreasing . To increase the downward flux , current induced will be clockwise so that flux generated by induced current increases the downwards flux . It is in accordance with Len'z law.

6 0
3 years ago
A speedboat initially at rest accelerates uniformly at 4.0 m/s (squared) for 7.0 s. How fast is the boat moving after 7.0 s?
zaharov [31]
Well if the boat initially at rest accelerates at uniformly at 4.0 m/s (squared) then it would be best to muitlply it so 4.0 squared equals 2 by multiplying that by 7.0 your answer would be 14 s
8 0
3 years ago
Consider a spherical volume of space that is large enough to be considered homogeneous. Also consider a particle on the surface
LenKa [72]

Answer:

Option A applies.

A.  Greater than its escape speed from the mass within the volume

Explanation:

Here it is mentioned that the spherical volume is large enough for the space to be considered as homogeneous. Also, the pressure within the volume is negligible, so that will not result into the re collapse of the Universe. Now as per our knowing, Hubble's Law relates the average speed of the particle to the distance R between the Earth and the particle. So, if the particle's speed is greater than it's escape speed from the mass within the volume, then the Universe is bound to re collapse back again. Option A applies.

3 0
3 years ago
Ordinary ocean waves are created by the interaction of the ____ and ____.
dmitriy555 [2]
Wind and amplitude creates the waves in an ordinary ocean
7 0
3 years ago
Other questions:
  • The solid right-circular cylinder of mass 500 kg is set into torque-free motion with its symmetry axis initially aligned with th
    13·1 answer
  • The current in the wires of a circuit is 120.0 milliAmps. If the voltage impressed across the ends of the circuit were doubled (
    6·1 answer
  • Which statement correctly describes the motion on which an Earth time interval is based?
    9·1 answer
  • I REALLY NEED HELP!!!!
    11·1 answer
  • Why are simple machines important?
    11·2 answers
  • FILL IN THE BLANK.<br><br> The __________ of a vector is represented by the length of the arrow.
    10·1 answer
  • An iceberg of density 920kg/m^3 floats in seawater of density 1025kg/m^3 with volume of 10^6m^3.What is the total mass of the ic
    13·1 answer
  • Which two changes would decrease the electric force between two charged
    15·1 answer
  • A motorcycle travels 3km in five minutes how much distance can travels in one second.
    9·1 answer
  • The diagrams show four bodies moving in the directions shown. The only forces acting on the bodies are shown in each diagram.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!