1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexdok [17]
2 years ago
5

A 66.0 kg diver is 3.10 m above the water, falling at speed of 6.10 m/s. Calculate her kinetic energy as she hits the water. (Ne

glect air friction)
Physics
1 answer:
castortr0y [4]2 years ago
3 0

Kinetic energy as she hits the water is 3300 joule.

To find the answer, we need to know about the Newton's equation of motion.

<h3>What's the Newton's equation of motion to determine the final velocity?</h3>
  • The final velocity is determined as

V²=U²+2aS

  • V= final velocity, U= initial velocity, a= acceleration and S= distance
<h3>What's the final velocity of the driver falling from 3.10m with initial velocity of 6.10m/s?</h3>
  • Here, a= 9.8m/s², U= 6.10m/s and S= 3.10m
  • So, V²= 6.1²+2×9.8×3.10= 98
  • V= √98= 10m/s
<h3>What's the kinetic energy of the driver when touches the water?</h3>

Kinetic energy= 1/2×mass×velocity²

= 1/2 × 66 × 10²

= 3300J

Thus, we can conclude that the kinetic energy of the driver is 3300 Joule.

Learn more about the kinetic energy here:

brainly.com/question/25959744

#SPJ4

You might be interested in
3. Same questions as the previous problem, but for mass m just falling 3 meters in a vacuum: (a) How long does it take mass m to
sveticcg [70]

Answer:

a) 0.78 s

b) 58.86m/s'

c) Galileo's law of free fall

Explanation:

a) x = v_{i}t + \frac{1}{2}at^{2} \\3 = 0*t+\frac{1}{2} *9.81*t^{2}\\t=\sqrt{\frac{6}{9.81} }

b)At the bottom:

kinetic energy = potential energy

\frac{1}{2}mv^{2} = mgh\\ v^{2} =2*9.81*3=58.86m/s downwards

c) Galileo's law of free fall says regardless of the masses, bodies in a vacuum will fall, on the earth, at the same acceleration

3 0
3 years ago
5. A stream of air at 12 bar and 900 K is mixed with another stream of air at 2 bar and 400 K with 2 times the mass flowrate. If
Softa [21]

Answer:

The anserrs to the question are

(a)  The temperature would be 566.67  K and

(b) The pressure of the resulting air stream is 14 bar

Explanation:

Here the two streams of gases meet ad form a single stream

The steady-flow energy equation can be implemented at the mixing point of the to streams as follows

mₐhₐ₁ + mₙ hₙ₁ + Q° + W° = mₐhₐ₂ + mₙhₙ₂

Where the flow is adiabatic, we have

Q = 0 and  W = 0  hence

mₐhₐ₁ + mₙ hₙ₁ = mₐhₐ₂ + mₙhₙ₂ where h = cp×T we have

mₐcpₐ×Tₐ + mₙcpₙ×Tₙ  = mₐcpₐ×T + mₐcpₙ×T

Therefore the final temperature T is given by

T = \frac{m_ac_{pa}T_a + m_nc_{pn}T_n}{m_ac_{pa} + m_nc_{pn}}  for the same kind of gas cpₐ =cpₙ therefore

T = \frac{m_aT_a + m_nT_n}{m_a + m_n} where mₐ and mₙ are mass flow rate

Therefore we have where Tₐ = = 900 K and Tₙ = 400 K and mₙ = 2mₐ gives

T = \frac{m_a*900 + 2*m_a*400}{m_a + 2*m_a} = T = \frac{900 + 800}{1 + 2} = 1700/3 = 566.67 K  

From Dalton's law, the total pressure of a mixture of gases is equal to the sum of the partial pressures of the components of the mixture

Therefore the total pressure of the combined stream = pₐ + pₙ = p

= 12 bar + 2 bar = 14 bar

Stream pressure = 14 bar

4 0
3 years ago
A car moving with an initial speed of 25 m/s slows down to a speed of 5 m/s in 10 seconds Calculate a) the acceleration of the c
stealth61 [152]

Answer :

(a) The acceleration  of the car is, -2m/s^2

(b) The distance covered by the car is, 150 m

Explanation :  

By the 1st equation of motion,

v=u+at ...........(1)

where,

v = final velocity = 5 m/s

u = initial velocity  = 25 m/s

t = time = 10 s

a = acceleration  of the car = ?

Now put all the given values in the above equation 1, we get:

5m/s=25m/s+a\times (10s)

a=-2m/s^2

The acceleration  of the car is, -2m/s^2

By the 2nd equation of motion,

s=ut+\frac{1}{2}at^2 ...........(2)

where,

s = distance covered by the car = ?

u = initial velocity  = 25 m/s

t = time = 10 s

a = acceleration  of the car = -2m/s^2

Now put all the given values in the above equation 2, we get:

s=(25m/s)\times (10s)+\frac{1}{2}\times (-2m/s^2)\times (10s)^2

By solving the term, we get:

s=150m

The distance covered by the car is, 150 m

8 0
3 years ago
Calculate the force of gravity on the 0.50-kg mass if it were 6.4×106 m above earth's surface (that is, if it were two earth rad
Sunny_sXe [5.5K]

Radius of Earth is given as

R = 6.4 * 10^6 m

now here the height from the surface of earth is same as that of radius

h = 6.4 * 10^6 m

now here the acceleration due to gravity at this height is given as

g' = \frac{GM}{(R+h)^2}

g' = \frac{GM}{4R^2}

g' = \frac{g}{4}

now the force of gravity on the given object will be

F = mg'

F = m*\frac{g}{4}

F = 0.5 * \frac{9.8}{4}

F = 1.225 N

<em>so the force of gravity on it is 1.225 N</em>

7 0
3 years ago
Four 21.2 ω resistors are connected in parallel across a 35.8 v ideal battery. what is the current through the battery?
Alenkinab [10]

The resistors behavelike a single resistor of (21.2/4) = 5.3 ohms.

The total current through the parallel bunch of resistors is E/R = 35.8/5.3 = 6.75 Amperes.

That's the total current SUPPLIED by the battery. Current doesn't flow 'through' a battery.

6 0
3 years ago
Other questions:
  • A ball is fixed to the end of a rod and is swung in a circle at a constant rate. Consider four scenarios with differing values f
    6·1 answer
  • A box slides downwards at a constant velocity on an inclined surface that has a coefficient of friction uK = .58 The angle of th
    14·1 answer
  • What happens when you throw a ball
    13·2 answers
  • A completely submerged object always displaces its own
    9·1 answer
  • What type of system uses a liquid to transmit a force
    13·1 answer
  • How can Newton's third law describe the forces affecting a rocket as it
    8·1 answer
  • What is the function of the cornea?
    11·1 answer
  • A political campaign manager must decide whether to emphasize television advertisements or letters to potential voters in a reel
    8·1 answer
  • 1) Why does an electron have no quarks?
    8·1 answer
  • How much time would it take for the sound of thunder to travels at a speed of 330m/seconds
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!