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SSSSS [86.1K]
3 years ago
13

A 15,000 N truck starts from rest and moves down a 15∘ hill with the engine providing a 8,000 N force in the direction of the mo

tion. Assume the rolling friction force between the truck and the road is very small. If the hill is 50 m long, what will be the speed of the truck at the bottom of the hill?
Physics
1 answer:
GenaCL600 [577]3 years ago
7 0

Answer:

v_f = 27.9 m/s

Explanation:

Component of the weight of the truck along the inclined plane is given as

F_1 = W sin\theta

F_1 = 15000 sin15

F_1 = 3882.3 N

also the engine is providing the constant force to it as

F_2 = 8000 N

now the net force along the the plane is given as

F_{net} = 8000 + 3882.3

F = 11882.3 N

mass of the truck is given as

m = \frac{w}{g} = 1529 kg

now the acceleration is given as

a = \frac{F}{m}

a = 7.77 m/s^2

now the speed of the truck after travelling distance of d = 50 m is given as

v_f^2 = v_i^2 + 2 a d

v_f^2 = 0 + 2(7.77)(50)

v_f = 27.9 m/s

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<u>Answer:</u>

Force = 20N

acceleration (a) = 1.5 m/s²

Mass of object (m) = ?

<u>From Newtons II law</u>

                   <em>    F = m. a N</em>

                        m =  F/a

                        m = 20/1.5

                      <em>  m = 13.34 Kg</em>

<em>Mass of an object is 13.34 Kg</em>

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3 years ago
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Answer:

<u>(B) wheat</u>

Explanation:

  • Wheat is an <u>anemophilous</u> plant (form of pollination by which wind distributes pollen)
  • They lack petals and sepals (outer whorls of the flower)
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2 years ago
Read 2 more answers
A pendulum is made by letting a 4 kg mass swing at the end of a string that has a length of 1.5 meter. The maximum angle that th
olga nikolaevna [1]

Answer:

Approximately 7.8\; \rm J.

Explanation:

The change in the gravitational potential energy of the pendulum is directly related to the change in its height.

Refer to the sketch attached. The pendulum is initially at \rm P_2. Its highest point is at P_1. The length of segment \rm BP_2 gives the change in its height.

The lengths of \rm AP_1 and \rm AP_2 are simply the length of the string, 1.5\; \rm m. To find the length of \rm BP_2, start by calculating the length of \rm AB.

\rm AB forms a leg in the right triangle \rm \triangle AP_1B. Besides, it is adjacent to the 30^\circ angle \rm P_1\hat{A}B. Its length would be:

\rm AB = 1.5 \times \cos(30^\circ) \approx 1.30\; \rm m.

The length of \rm BP_2 would thus be

\rm BP_2 = AP_2 - AB = 1.5 - 1.30 \approx 0.20\; \rm m.

The change in gravitational potential energy can be found with the equation

\Delta \mathrm{GPE} = m \cdot g \cdot \Delta h. In this equation,

  • m is the mass of the object,
  • g \approx 9.81\; \rm N \cdot kg^{-1} near the surface of the earth, and
  • \Delta h is the change in the object's height.

In this case, m = 4\; \rm kg and \Delta h \approx 0.20\; \rm m. Therefore:

\Delta \mathrm{GPE} = 4 \times 9.81 \times 0.20 \approx 7.8\; \rm J.

6 0
3 years ago
A 125 g pendulum bob hung on a string of length 35 cm has the same period as when the bob is hung from a spring and caused to os
Bingel [31]

Answer:

k = 3.5 N/m

Explanation:

It is given that the time period the bob in pendulum is the same as its time period in spring mass system:

Time\ Period\ of\ Pendulum = Time\ Period\ of\ Spring-Mass\ System\\2\pi \sqrt{\frac{l}{g}} = 2\pi \sqrt{\frac{m}{k}

\frac{l}{g} = \frac{m}{k}\\\\ k = g\frac{m}{l}

where,

k = spring constant = ?

g = acceleration due to gravity = 9.81 m/s²

m = mass of bob = 125 g = 0.125 kg

l = length of pendulum = 35 cm = 0.35 m

Therefore,

k = (9.81\ m/s^2)(\frac{0.125\ kg}{0.35\ m})\\\\

<u>k = 3.5 N/m</u>

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You are playing a speed-based card game with your 64-year-old grandfather. The object of the game is to get rid of your cards as
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Now, you always beat him. Your grandfather is likely experiencing a slight decline in perceptual speed.

<u>Explanation:</u>

The speed of perception refers to the capacity to accurately (and completely) compare words letter, digits, objects, images, etc. When testing, these objects can be displayed simultaneously or one after the other. This type of test can be included in the proficiency test.

For example, we have also seen all the puzzles that ask the reader to notice the differences between the two pictures. The time it takes to recognize these differences is a measure of the speed of perception. Likewise, in getting rid of cards at the given situation, grandfather experiences a less decline in his perceptual speed.

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