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Papessa [141]
3 years ago
6

The worlds most powerful tugboats are built in Finland. One of these boats can do 9.8x10^7 J of work through a distance of 35 mi

les. What is the force exerted by the tugboat?
Physics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

The force exerted by the tugboat is 1616 N

Explanation:

The work done by a force on a body is given by

W=Fd cos \theta

where

F is the magnitude of the force

d is the displacement of the body

\theta is the angle between the direction of the force and of the displacement

In this problem, we have:

W=9.8 \cdot 10^7 J is the work done by the tugboat

d=35 miles \cdot 1609 m/miles = 56,315 m is the displacement

The maximum work is done when the force is parallel to the displacement, so when

\theta=0

So, we can re-arrange the equation to find the force exerted by the tugboat:

F=\frac{W}{d cos \theta}=\frac{9.8\cdot 10^7}{(56315)(1)}=1616 N

Learn more about work here:

brainly.com/question/6763771

brainly.com/question/6443626

#LearnwithBrainly

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Answer:

Vf = 210 [m/s]

Av = 105 [m/s]

y = 2205 [m]

Explanation:

To solve this problem we must use the following formula of kinematics.

v_{f} =v_{o} +g*t

where:

Vf = final velocity [m/s]

Vo = initial velocity = 0 (released from the rest)

g = gravity acceleration = 10 [m/s²]

t = time = 21 [s]

Vf = 0 + (10*21)

Vf = 210 [m/s]

Note: The positive sign for the gravity acceleration means that the object is falling in the same direction of the gravity acceleration (downwards)

The average speed is defined as the sum of the final speed plus the initial speed divided by two. (the initial velocity is zero)

Av = (210 + 0)/2

Av = 105 [m/s]

To calculate the distance we must use the following equation of kinematics

v_{f} ^{2} =v_{o} ^{2} +2*g*y\\\\(210)^{2} = 0 + (2*10*y)

44100 = 20*y

y = 2205 [m]

5 0
3 years ago
Which statement(s) correctly compare the masses of protons, neutrons, and electrons?
ZanzabumX [31]
FULL ANSWER

Neutrons and protons make up a nucleus and they are in the middle of an atom. Electrons surround the nucleus. Opposite charges attract each other. Because of this, protons do not attract other protons and electrons do not attract other electrons. Instead, protons attract electrons and electrons attract protons. When someone looks at the elements on the periodic table, they can see how many protons are present by looking at the atomic number. Since atoms have to have an equal amount of each, if an element contains 36 protons, it also has 36 electrons.

6 0
3 years ago
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Dima020 [189]

Answer:

1.8L

Explanation:

Boyle's law is a gas law, stating that the pressure and volume of a gas have an inverse relationship. If volume increases, then pressure decreases and vice versa, when the temperature is held constant.

So x is the volume at pressure 235

235x = 101(4.2)

x = 424.2/235 = 1.8

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3 years ago
Calculate the electric charge of the glass ball
-Dominant- [34]

Answer:

As per Coulomb's law we know that force between two charges is given as

F = \frac{kq_1q_2}{r^2}F=

r

2

kq

1

q

2

here we know that

q_1 = 2.5 \times 10^{-6} Cq

1

=2.5×10

−6

C

q_2 = -5.0 \times 10^{-6} Cq

2

=−5.0×10

−6

C

r = 0.0050 mr=0.0050m

now from above formula we will have

F = \frac{(9 \times 10^9)(2.5 \times 10^{-6})(5 \times 10^{-6})}{(0.0050)^2}F=

(0.0050)

2

(9×10

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)(2.5×10

−6

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4 0
3 years ago
If
JulijaS [17]

Answer:

the time it will take the element to decay to 1.9 g is 34.8 mins.

Explanation:

Given;

half life of Nitrogen, t = 10 min

initial mass of the element, N₀ = 20 g

final mass of the element, N = 1.9 g

The time taken for the element to decay to final mass is calculated as follows;

time (min)                        mass remaining

0 ----------------------------------20 g

10 mins ------------------------- 10 g

20 mins ------------------------- 5 g

30 mins -------------------------- 2.5 g

40 mins --------------------------- 1.25 g

Interpolate between 2.5 g and 1.25 to obtain the time for 1.9 g

30 min ------------------------- 2.5 g

x ----------------------------------- 1.9 g

40 min -------------------------- 1.25 g

\frac{30 - x}{40- 30} = \frac{2.5 - 1.9}{1.25 - 2.5} \\\\-1.25(30-x) = 6\\\\-37.5 + 1.25x = 6\\\\1.25x = 6+37.5\\\\1.25x = 43.5\\\\x = \frac{43.5}{1.25} \\\\x = 34.8 \ mins

Therefore, the time it will take the element to decay to 1.9 g is 34.8 mins.

5 0
3 years ago
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