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
tensa zangetsu [6.8K]
2 years ago
14

Emily holds a banana of mass m over the edge of a bridge of height h. She drops the banana and it falls to the river below. Use

conservation of energy to show that the speed of the banana just before hitting the water is v
Physics
1 answer:
bearhunter [10]2 years ago
5 0

Answer:

The mass of the banana is m and it is at height h.

Applying the Law of Conservation of Energy

              Total Energy before fall = Total Energy after fall

                                E_{i}  = E_{f}

Here, total energy is the sum of kinetic energy and potential energy

K.E_{i} + P.E_{i} = K.E_{f} + P.E_{f}       (a)

When banana is at height h, it has

                 K.E_{i} = 0    and    P.E_{i} = mgh          

and when it reaches the river, it has

       K.E_{f}  = 1/2mv^{2}    and   P.E_{f}  = 0

Putting the values in equation (a)

                              0 + mgh = 1/2mv^{2} + 0

                                      mgh = 1/2mv^{2}

<em>cutting 'm' from both sides</em>

<em>                                           </em>gh = 1/2v^{2}

                                          v = \sqrt{2gh}

Hence, the velocity of banana before hitting the water is

                                          v = \sqrt{2gh}

You might be interested in
A solid sphere has a radius of 0.200 m and a mass of 150.0 kg. how much work is required to get the sphere rolling with an angul
Allisa [31]

Here in this case we can use work energy theorem

As per work energy theorem

Work done by all forces = Change in kinetic Energy of the object

Total kinetic energy of the solid sphere is ZERO initially as it is given at rest.

Final total kinetic energy is sum of rotational kinetic energy and translational kinetic energy

KE = \frac{1}{2}Iw^2 +\frac{1}{2} mv^2

also we know that

I = \frac{2}{5}mR^2

w= \frac{v}{R}

Now kinetic energy is given by

KE = \frac{1}{2}(\frac{2}{5}mR^2)w^2 +\frac{1}{2} m(Rw)^2

KE = \frac{1}{5}mR^2w^2 +\frac{1}{2} mR^2w^2

KE = \frac{7}{10}mR^2w^2

KE = \frac{7}{10}*150*(0.200)^2(50)^2

KE = 10500 J

Now by work energy theorem

Work done = 10500 - 0 = 10500 J

So in the above case work done on sphere is 10500 J

7 0
2 years ago
Anybody help me, please?<br><br> Describe one periodic trend that you learned about.
Korolek [52]

Answer:

the renegade

Explanation: charklie dfamielo

8 0
2 years ago
A 2000-kg car moving with a speed of 20 m/s collides with and sticks to a 1500-kg car at rest at a stop sign. Show that because
amid [387]

Answer:

13.33m/s

Explanation:

Given data

m1= 2000kg

u1= 20m/s

m2= 1500kg

u2= 0m/s

v1= 10m/s

Required

The speed of the sticks

We know that  from the expression for the conservation of momentum

m1u1+m2u2= m1v1+m2v2

2000*20+1500*0=2000*10+1500*v2

40000=20000+1500v2

collect like terms

40000-20000= 1500v2

20000= 1500v2

v2= 20000/1500

v2= 13.33 m/s

Hence the velocity of the sticks is 13.33m/s

8 0
3 years ago
Definition of artficial and natural radioactivity​
Genrish500 [490]
Search Results
Featured snippet from the web
The spontaneous emission of radiations from an unstable nuclei is known as natural radioactivity. on the other hand, The process of emission of radiations from naturally occurring isotopes when they are bombarded with sub-atomic particles or high levels of X-rays or gamma rays called artificial radioactivity.
8 0
2 years ago
Read 2 more answers
At what point does the external energy enter the system?
Phoenix [80]
The correct answer as the first one above !
8 0
3 years ago
Other questions:
  • A photon ionizes a hydrogen atom from the ground state. The liberated electron 11. recombines with a proton into the first excit
    5·1 answer
  • Explain our ideas about why the terrestrial planets are rocky and have less gas than the giant planets.
    14·1 answer
  • Which side of continents have a colder climate than might be expected?
    9·2 answers
  • SOMEONE PLEASE HELP ME ASAP PLEASE!!!!!​
    14·2 answers
  • A 1040 kg car and 3360 kg truck undergo a perfectly inelastic collision. before the collision, the car was traveling southward a
    10·1 answer
  • Based on its surface features, the most important event on Venus in the past billion years or so was _______.a) the eruption of
    13·1 answer
  • How is the energy of a photon related to its wavelength?
    10·1 answer
  • T/F: Stars die.<br> True<br> False
    9·1 answer
  • Watt (w) is a drived unit why​
    7·1 answer
  • The ability of the brain to change in response to experience is called____
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!