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3 years ago

Why does your boat float but not your ring?

1 answer:

5 0

The air that is inside a ship is much less dense than water. That's what keeps it floating! ... The closer the total density of the ship is to the density of the same volume of water, the greater the amount of the ship that will be in the water.

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An arrow is shot at an angle of 35° and a velocity of 50 m/s. How long does it take to return to its original starting height?

Ostrovityanka [42]

Answer:

4.02 s

Explanation:

From the question given above, the following data were obtained:

Angle of projection (θ) = 35°

Initial velocity (u) = 50 m/s

Acceleration due to gravity (g) = 10 m/s²

Time of flight (T) =?

The time of flight of the arrow can be obtained as follow:

T = 2uSineθ / g

T = 2 × 35 × Sine 35 / 10

T = 70 × 0.5736 / 10

T = 7 × 0.5736

T = 4.02 s

Therefore, the time taken for the arrow to return is 4.02 s

4 0

3 years ago

Two crates, one with mass 5.4 kg and the other with mass 8.2 kg, connected by a light rope. The coefficient of kinetic friction

Gnom [1K]

Answer:

R= 2.5 :ratio of the magnitude of the applied horizontal force to the magnitude of the tension in the rope connecting the blocks

Explanation:

We apply Newton's second law:

∑F=m*a

velocity is constant ,then , a=0

Nomenclature

W: weight

m: mass

N : normal force

Ff: Friction force

μk: coefficient of kinetic friction

T: tension force in the rope

F: applied horizontal force

g: acceleration due to gravity.

Force Calculation

W₁=m₁*g=5.4 kg *9.8m/s²=52.92 N

W₂=m₂*g=8.2 kg *9.8m/s²= 80.36N

∑Fy=0

N₁-W₁=0 , N₁=W₁ = 52.92 N

N₂-W₂=0, N₂=W₂=80.36N

Ff₁= μk* N₁=0.4*52.92 N = 21.16N

Ff₂= μk* N₂=0.4*80.36N = 32.14N

Look at the attached graphic

Free-Body diagram m₁=5.4 kg

∑Fx=0

T- Ff₁=0 , T= Ff₁ , T= 21.16N

Free-Body diagram m₂=8.2 kg

∑Fx=0

F-T- Ff₂=0 , F=T+Ff₂= 21.16N+32.14N=53.3N

Ratio of the magnitude of the applied horizontal force to the magnitude of the tension in the rope connecting the blocks (R)

R= F/T= 53.3N/21.16N = 2.5

3 0

3 years ago

How can humans building a drainage system affect the water cycle?

nasty-shy [4]

Human building a drainage system could affect the water cycle because :
C. water would be directed to a new location because of the drains

This could potentially changed the natural occurrence that usually happened within the water cycle

hope this helps

5 0

3 years ago

Read 2 more answers

What is the charge of an atom before any electrons are transferred?

Dmitrij [34]

The charge of an atom before any electrons are transferred is zero.An atom as a whole is electrically neutral.

An atoms contains same number of electrons and protons. The charge of an electron and a proton is equal in magnitude but opposite in sign. The charge of a proton is 1.6 x 10⁻¹⁹C and the charge of an electron is -1.6 x 10⁻¹⁹C .Thus the charge of all the protons in an atoms is neutralized by the total charge of all the electrons.Thus an atom is electrically neutral.

when an atom loses electrons , it acquires a positive charge and when it gains electrons, it acquires a net charge.

5 0

3 years ago

A person jogs at an average velocity of 3 m/s West. How long will it take this person to run a 30-meter city block?

grigory [225]

Answer:

It will take the person 10 seconds to run a 30-meter city block.

Explanation:

To solve this problem, we must remember the formula for velocity:

velocity = displacement/time

If we plug in the values that we are given, we get:

3 m/s = 30 m/time

We can see from the above equation that our answer should be in seconds, so we can get rid of the units to simplify the equation slightly.

3 = 30/t

Next, we can multiply both sides by t:

3t = 30

Then, we should divide both sides of the equation by 3 to get the variable t alone on the left side of the equation.

t = 10

Therefore, the correct answer is 10 s.

8 0

3 years ago

Read 2 more answers