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
anyanavicka [17]
3 years ago
14

A 60-kg skier is stationary at the top of a hill. She then pushes off and heads down the hill with an initial speed of 4.0 m/s.

Air resistance and the friction between the skis and the snow are both negligible. How fast will she be moving after she is at the bottom of the hill, which is 10 m in elevation lower than the hilltop
Physics
2 answers:
GREYUIT [131]3 years ago
6 0

Answer:

The velocity is  v = 8.85 m/s

Explanation:

From the question we are told that

    The mass of the skier is m_s =  60 \ kg

      The initial speed is u =  4.0 \ m/s

       The height is  h =  10 \ m

According to the law of energy conservation

     PE_t  + KE_t  =  KE_b + PE_b

Where PE_t is the potential energy at the top which is mathematically evaluated as

       PE_t =  mg h

substituting values

       PE_t  =  60 * 4*9.8

      PE_t  =  2352 \ J

And  KE_t is the kinetic energy at the top which equal to zero due to the fact that velocity is zero at the top of the hill

And  KE_b is the kinetic energy at the bottom of the hill which is mathematically represented as

         KE_b  =  0.5 * m * v^2

  substituting  values

         KE_b  =  0.5 * 60 * v^2

=>     KE_b  = 30 v^2

Where v is the velocity at the bottom

   And PE_b is the potential  energy at the bottom which equal to zero due to the fact that height  is zero at the bottom of the hill

So  

        30 v^2 =  2352

=>      v^2 =   \frac{2352}{30}

=>       v =  \sqrt{ \frac{2352}{30}}

        v = 8.85 m/s

         

Romashka [77]3 years ago
5 0

Answer:

The Skier's velocity at the bottom of the hill will be 18m/s

Explanation:

This is simply the case of energy conversion between potential and kinetic energy. Her potential energy at the top of the hill gets converted to the kinetic energy she experiences at the bottom.

That is

mgh = 0.5 mv^{2}

solving for velocity, we will have

v= \sqrt{2gh}

hence her velocity will be

v=\sqrt{2 \times 9.81 \times 10}=14.00m/s

This is the velocity she gains from the slope.

Recall that she already has an initial velocity of 4m/s. It is important to note that since velocities are vector quantities, they can easily be added algebraically. Hence, her velocity at the bottom of the hill is 4 + 14 = 18m/s

The Skier's velocity at the bottom of the hill will be 18m/s

You might be interested in
A lorry of mass 4000 kg is travelling at a speed of 4 m/s.
bulgar [2K]

Answer:

KE = 32,000J

v = 8m/s

Explanation:

KE = .5*m*v²

KE = .5*4000kg*(4m/s)²

KE = 32,000J

32,000J = .5*1000kg*v²

v² = 64

v = 8m/s

7 0
3 years ago
Which of these events is an example of resonance?
vodka [1.7K]
An opera singer breaks a thin glass with only the use of her high frequency voice
8 0
3 years ago
Read 2 more answers
Words that describe direction east, up, and left is it true or false
m_a_m_a [10]

Answer:

True

Explanation:

East, up, and left all define as a direction.

7 0
3 years ago
What forces are those that act on an object causing the net force to be something other than zero?
Arisa [49]
Gravity is all ways pulling down and the normal force acting on top of the object and for it to have to push or pull to the object
3 0
3 years ago
The table shows the diameters of the planets in our solar system. Assume that a basketball whose diameter is 25
tino4ka555 [31]

Answer:

Mercury:

.85

pea

Venus:

2.1

gumball

Earth:

2.2

gumball

Mars:

1.2

marble

Uranus:

9

grapefruit

Neptune:

8.6

softball

Explanation:

I have no clue if I'm right but hopefully, I am

3 0
2 years ago
Other questions:
  • you push the ball with a force of 22.8N which induces a -2.3 frictional force what is the net force while you push the ball
    14·1 answer
  • If a freely falling object were somehow equipped with a speedometer, its speed
    7·1 answer
  • A car traveling west at 70 miles per hour for 3 hours covers a distance of
    11·1 answer
  • If a cell is dying because it lacks an inorganic substance that is important for nutrition, what does it need?
    10·1 answer
  • When low on gasoline, is it better to increase or decrease the speed of the vehicle? Explain.
    12·1 answer
  • What type of bond results from the side‑on overlap of orbitals?
    15·1 answer
  • Ptolemy suggested that the Earth was at the center of the solar system. Copernicus suggested that the sun was at the center of t
    7·1 answer
  • Which would increase the rate of dissolving salt into water? low temperature little to no agitation more surface area darker col
    14·1 answer
  • 4. Find the density of 2750 g of a substance that occupies 250 mL.​
    9·1 answer
  • 11. A box with a mass of 1.0 kg is resting on a horizontal surface and the coefficient of friction between the block and the sur
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!