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lianna [129]
3 years ago
15

In springboard diving, the diver strides out to the end of the board, takes a jump onto its end, and uses the resultant spring-l

ike nature of the board to help propel him into the air. Assume that the diver's motion is essentially vertical. He leaves the board, which is 3.0 m above the water, with a speed of 6.3 m/s. The diver is in the air for 1.7 s from when he left the board to the water. What is the speed of the diver when he reaches the water?
Express your answer with the appropriate units.
Physics
2 answers:
Artyom0805 [142]3 years ago
8 0

Answer:

final speed with which it will hit the water is v = 9.92 m/s

Explanation:

Here we know that diver's motion is essentially in air

So the motion of diver is under gravity at uniform acceleration

so we can use kinematic in order to find the final velocity

so we will have

v_f^2 - v_i^2 = 2ad

v_f^2 - 6.3^2 = 2(9.8)(3)

so we will have

v_f = 9.92 m/s

so final speed with which it will hit the water is v = 9.92 m/s

Ksenya-84 [330]3 years ago
3 0

Answer:

10.4 m/s

Explanation:

The problem can be solved by using the following SUVAT equation:

v=u+at

where

v is the final velocity

u is the initial velocity

a is the acceleration

t is the time

For the diver in the problem, we have:

u=+6.3 m/s is the initial velocity (positive because it is upward)

a=g=-9.8 m/s^2 is the acceleration of gravity (negative because it is downward)

By substituting t = 1.7 s, we find the velocity when the diver reaches the water:

v=+6.3 + (-9.8)(1.7)=-10.4 m/s

And the negative sign means that the direction is downward: so, the speed is 10.4 m/s.

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An electric car is being designed to have an average power output of 4,600 W for 2 h before needing to be recharged. (Assume the
MAVERICK [17]

Answer:

a)3312 x 10⁴ J

b)I = 57.5 A

c)9200 W

Explanation:

Given that

P =4600 W

Time t= 2 h = 2 x 3600 s= 7200 s

We know that

1 W = 1 J/s

a)

Energy stored in the battery = P .t

                                              =4600 x 7200 J

                                            =3312 x 10⁴ J

b)

We know that power P given as

P = V .I

V=Voltage  ,I =Current

4600 = 80 x I

I = 57.5 A

c)

The energy supplied = 4600 x 2 = 9200 W

7 0
3 years ago
A 1200-kg car initially at rest undergoes constant acceleration for 8.8 s, reaching a speed of 10 m/ s. It then collides with a
atroni [7]

Answer:

The final kinetic energy of the two-car system is 60,000 J.

Explanation:

Given;

mass of the car, m = 1200 kg

time of motion, t = 8.8 s

final velocity of the car, v = 10 m/s

Apply the principle of conservation of kinetic energy; the initial kinetic energy is equal final kinetic energy.

K.E_i = K.E_f\\\\K.E_f = \frac{1}{2}mv^2\\\\K.E_f =  \frac{1}{2}(1200)(10)^2\\\\K.E_f = 60,000 \ J

Therefore, the final kinetic energy of the two-car system is 60,000 J.

4 0
3 years ago
You plan to take a trip to the moon. Since you do not have a traditional spaceship with rockets, you will need to leave the eart
hichkok12 [17]

Answer:

v = 3.5 \times 10^5 m/s

Explanation:

At some distance from the Earth the force of attraction due to moon is balanced by the force due to Moon

so we will have

\frac{GM_em}{r^2} = \frac{GM_m}{(d-r)^2}

now we have

\frac{d - r}{r} = \sqrt{\frac{M_m}{M_e}}

\frac{3.844\times 10^8 - r}{r} = \sqrt{\frac{7.36 \times 10^{22}}{5.9742\times 10^{24}}}

so we will have

r = 3.46 \times 10^8 m

Now by energy conservation

-\frac{GM_e}{R_e} - \frac{GM_m}{d - (R_e + R_m)} + \frac{1}{2}v^2 = -\frac{GM_e}{r} - \frac{GM_m}{d - r}

-6.26 \times 10^{8} - 13046 + \frac{1}{2}v^2 = -1.15 \times 10^6 - 1.28 \times 10^5

v = 3.5 \times 10^5 m/s

7 0
3 years ago
How do you calculate the average density of two different fluids?
ANTONII [103]
-- Take a sample of the first fluid.
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-- Take a sample of the second fluid.
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You want their average ?
OK

-- Add  (Density of the first fluid) + (Density of the second fluid).
-- Divide the sum by  2 .

   Now you have the average of the two densities.

Note:
That's NOT necessarily the density of a mixture when you
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fluid in the jar is going to depend on how much of each fluid is
in there. 
I started to calculate how much of each one has to be there in order
for the density of the mixture to be equal to the average of their two
densities. But then I sat up straight, asked myself "Why ? !" . 
Then I stopped, and went into the kitchen and ate some meatloaf.
4 0
3 years ago
4. In not less than 150 words, write your substantial insights on what you have learned in the past modules in relevance to what
Kitty [74]

Answer:

“I think it’s about putting yourself in the students’ shoes and seeing how a first-time student, maybe someone who hasn’t even taken chemistry before, is looking at it.”

—Valerie Taraborelli, undergraduate chemistry student, University of Arizona1

“In some ways, I think the people who are the most successful as teachers are the ones who are able to remember what it was like being uncertain and not knowing. When you become an expert, things are easy. So the idea is to try and see where [students] are coming from and why they’ve developed this misconception and what you can do to specifically address it.”

—Dee Silverthorn, biology professor, University of Texas2

<h2>Hope this helps !! </h2>

8 0
2 years ago
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