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
____ [38]
3 years ago
15

Now let’s apply the work–energy theorem to a more complex, multistep problem. In a pile driver, a steel hammerhead with mass 200

kg is lifted 3.00 m above the top of a vertical I-beam that is to be driven into the ground (Figure 1) . The hammer is then dropped, driving the I-beam 7.40 cm farther into the ground. The vertical rails that guide the hammerhead exert a constant 60.0 N friction force on it. Use the work–energy theorem to find
(a) the speed of the hammerhead just as it hits the I-beam and
(b) the average force the hammerhead exerts on the I-beam.
Physics
1 answer:
andrew11 [14]3 years ago
6 0

Answer:

a) v = 7.67

b) n = 81562 N

Explanation:

Given:-

- The mass of hammer-head, m = 200 kg

- The height at from which hammer head drops, s12 = 3.00 m

- The amount of distance the I-beam is hammered, s23 = 7.40 cm

- The resistive force by contact of hammer-head and I-beam, F = 60.0 N

Find:-

(a) the speed of the hammerhead just as it hits the I-beam and

(b) the average force the hammerhead exerts on the I-beam.

Solution:-

- We will consider the hammer head as our system and apply the conservation of energy principle because during the journey of hammer-head up till just before it hits the I-beam there are no external forces acting on the system:

                                   ΔK.E = ΔP.E

                                  K_2 - K_1 = P_1- P_2

Where,  K_2: Kinetic energy of hammer head as it hits the I-beam

             K_1: Initial kinetic energy of hammer head ( = 0 ) ... rest

             P_2: Gravitational potential energy of hammer head as it hits the I-beam. (Datum = 0)

             P_1: Initial gravitational potential energy of hammer head      

- The expression simplifies to:

                                K_2 = P_1

Where,                     0.5*m*v2^2 = m*g*s12

                                v2 = √(2*g*s12) = √(2*9.81*3)

                                v2 = 7.67 m/s

- For the complete journey we see that there are fictitious force due to contact between hammer-head and I-beam the system is no longer conserved. All the kinetic energy is used to drive the I-beam down by distance s23. We will apply work energy principle on the system:

                               Wnet = ( P_3 - P_1 ) + W_friction

                               Wnet = m*g*s13 + F*s23

                               n*s23 = m*g*s13 + F*s23

Where,    n: average force the hammerhead exerts on the I-beam.

               s13 = s12 + s23

Hence,

                             n = m*g*( s12/s23 + 1) + F

                             n = 200*9.81*(3/0.074 + 1) + 60

                             n = 81562 N

                               

                                                   

You might be interested in
What type of objects exert gravitational pull? (5 points) Only living objects Only space objects All objects having mass All sub
Yanka [14]

Answer:

Every object in the universe that has mass exerts a gravitational pull, or force, on every other mass. The size of the pull depends on the masses of the objects. You exert a gravitational force on the people around you, but that force isn't very strong, since people aren't very massive.

6 0
3 years ago
Please help me with 1,2,3,4,5,6
Trava [24]
I know that 4. Is wave 2 and 5. Is wave 3.
3 0
2 years ago
What is the atomic number of this element?
Zina [86]
The atomic number is the number of protons in the nucleus of an atom. The number of protons define the identity of an element (i.e., an element with 6 protons is a carbon


So I believe it’s 6 hope this helps if not reply back
5 0
3 years ago
Read 2 more answers
Help me with this question please
vichka [17]

Answer:

Its true i'm pretty sure

Explanation:

7 0
2 years ago
Read 2 more answers
10 points<br> A baseball game can end in a tie.<br> True<br> False<br> Help???
Vinvika [58]

Answer:

False

Explanation:

The game will go into more innings until a team outscores another. So, a game cannot end in a tie.

3 0
3 years ago
Other questions:
  • 0.2000 kg of water at 20.00°C is contained in a 0.1000-kg copper container. The container is shaken vigorously for 10.00 minutes
    5·1 answer
  • The diagram below illustrates the law of reflection.
    15·1 answer
  • A box with its contents has a total mass of 40 kg. It is dropped from a very high building. After reaching terminal speed, what
    7·2 answers
  • Which is the best example of Newton's first law of motion
    5·2 answers
  • I believe that our solar system formed by the same process as star formation. A huge cloud of dust and gas collapsed and condens
    8·1 answer
  • The idea that states are unitary actors acting under anarchy and the structure of the system shapes their behavior is associated
    6·1 answer
  • Mount mckinley in Alaska is America’s highest mountain at 20,320 feet. Find it’s height in kilometers. 1mi = 1.609 km= 5280. Ans
    8·1 answer
  • A car travels 480 km in 12 hr. what is its velocity
    14·2 answers
  • What is sin for the given right triangle?
    12·2 answers
  • How long does it take light to reach Earth from an object on light-year away?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!