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evablogger [386]
3 years ago
6

A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and the tension in the chain is 1000

N. How much work is done by the truck in pulling the car 1 km? (Round your answer to the nearest ten thousand.) joules
Physics
1 answer:
statuscvo [17]3 years ago
6 0

To develop this problem it is necessary to apply the work theorem. This tells us that the energy on a body is equivalent to the product between the Force applied on it and the distance traveled. The vector product of these measures can be expressed as

W = \vec{F}\times \vec{x}

And its magnitude is equivalent to

W = Fx cos\theta

Where \theta is the angle formed between the applied force and the line of displacement of the body.

Our values are given as,

\theta = 30\°

F= 1500N

x = 1000m

Applying this value and replacing we have,

W = Fxcos\theta

W = (1500)(1000)cos(30)

W = 1.299*10^6J

Therefore the work done by the truck is 1.299 Mega Jules

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A batter hits a foul ball. The 0.140-kg baseball that was approaching him at 40.0 m/s leaves the bat at 30.0 m/s in a direction
lara31 [8.8K]
<h3>Answer</h3><h3>7 Ns</h3><h3>Explanation</h3>

Given in the question,

mass of foul ball = 0.140 kg

initial speed with which ball was hit with the bat = 30 m/s

final speed  = 40 m/s

According to the scenario the whole scene is making a right angle triangle

So, to the solve the question we will use pythagorus theorem

<h3>Hypotenuse² = base² + height²</h3>

Here,

Hypotenuse= Magnitude of impulse

Base = 1st change of momentum

height = 2nd change of momentum

 

1st impulse (1st change of momentum)

p = m(1)v(1) = (0.14 kg)(40.0 m/s) = 5.6 kg m / s = 5.6 N s

2nd impulse (2nd change of momentum)

p = m(2)v(2) = (0.14 kg)(30.0 m/s) = 4.2 kg m / s = 4.2 N s

Magnitude of impulse (hypotenuse of triangle)

impulse² = (5.6)² + (4.2)²

impulse² = 31.36 + 17.64

impulse² = 49

impulse² = √49

impulse = 7.0 N s

7 0
3 years ago
Uranium-235 decays to thorium-231 with a half-life of 700 million years. When a rock was formed, it contained 6400 million urani
Dahasolnce [82]

Answer:

proof in explanation

Explanation:

First, we will calculate the number of half-lives:

n = \frac{t}{t_{1/2}}

where,

n = no. of half-lives = ?

t = total time passed = 2100 million years

t_{1/2} = half-life = 700 million years

Therefore,

n = \frac{2100\ million\ years}{700\ million\ years}\\\\n = 3

Now, we will calculate the number of uranium nuclei left (n_u):

n_u = \frac{1}{2^{n} }(total\ nuclei)\\\\n_u = \frac{1}{2^{3} }(6400\ million)\\\\n_u = \frac{1}{8}(6400\ million)\\\\n_u =  800\ million

and the rest of the uranium nuclei will become thorium nuclei (u_{th})

n_{th} = total\ nuclei - n_u\\n_{th} = 6400\ million-800\ million\\n_{th} = 5600\ million

dividing both:

\frac{n_{th}}{n_u}=\frac{5600\ million}{800\ million} \\\\n_{th} = 7n_u

<u>Hence, it is proven that after 2100 million years there are seven times more thorium nuclei than uranium nuclei in the rock.</u>

6 0
2 years ago
When a magnetic field is first turned on, the flux through a 20-turn loop varies with time according to Φm=5.0t2−2.0t, where Φm
goldfiish [28.3K]

Answer:

A) ( - 200t + 40 ) volts

B)  b) anticlockwise ,  c) anticlockwise , d) clockwise ,  e) clockwise

Explanation:

Given data:

magnetic flux (Φm) = 5.0t^2 − 2.0t

number of turns = 20

<u>a) determine induced emf </u>

E = - N \frac{d\beta }{dt}

  =  - N ( 10t - 2 ) = - 20 ( 10t - 2 )

  =  - 200t + 40  volts

<u>b) Determine direction of induced current </u>

i) at t = 0

 E = - 0 + 40  ( anticlockwise direction )

ii) at t = 0.10

E = -20 + 40 =  20 ( anticlockwise direction )

iii) at t = 1

E = - 200 + 40 = - 160 ( clockwise direction)

iv) at t = 2

E = -400 + 40 =  - 360 ( clockwise direction )

8 0
2 years ago
In a given chemical reaction, the energy of the products is less than the energy of the reactants. Which statements is true for
Inessa05 [86]

Answer:It is an Endothermic reaction

Explanation:

Exothermic reaction

An exothermic reaction is one that releases energy in the form of heat or light.

Endothermic reaction

An endothermic reaction is one that absorbs energy in the form of heat or light.

7 0
2 years ago
Read 2 more answers
Which expression is equivalent to g−m ÷ gn?
Vinvika [58]

<u>Answer</u>

(g²n - m)/(gm)


<u>Explanation</u>

g - m ÷ gn = g - m/gn  

Make the equation have the same denominator

  g - m ÷ gn = g - m/gn    = (ggn)/gn  - m/gn

                                          = (g²n)/gn - m/gm

Since they have the same denominator, we can carry out the subtraction on the numerator and then put them under one denominator.

                                      (g²n)/gn - m/gm  = (g²n - m)/(gm)


5 0
2 years ago
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