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
KengaRu [80]
3 years ago
14

A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is to have the actor fall on hi

s back, but a researcher has been hired to investigate the safety of this stunt. When the researcher examines the mattress, she sees that it effectively has a spring constant of 77144 N/m for the area likely to be impacted by the stuntman, but it cannot depress more than 13.11 cm without injuring him. To approach this problem, consider a simplified version of the situation. A mass falls through a height of 4.12 m before landing on a spring of force constant 77144 N/m. Calculate the maximum mass that can fall on the mattress without exceeding the maximum compression distance.
Physics
1 answer:
Alina [70]3 years ago
4 0

Answer:

131 kg

Explanation:

Data:

Given,

spring constant, k = 65 144 N/m

Height of the fall = 3.32 m

Spring compression distance, x = 13. 55 × 10⁻²m

acceleration due to gravity, g = 9.81 ms⁻²

Now, during the fall, the gravitational potential energy is translated to the kinetic energy.

The kinetic energy is then later absorbed by the spring which absorbs it as the spring potential energy or simply (SPE).

Thus, the equation becomes:

Potential energy = Spring potential energy

mh (h + x) = \frac{1}{2} kx^{2} \\m(9.81 * (3.32 + 0.1311) = \frac{1}{2}*65 144 * (0.1311)^{2}  \\4.268 m = 559.82\\           m = 131 kg

maximum mass = 131 kg

You might be interested in
When sediment is moved around by wind it is called?
Digiron [165]

Answer:

Sediments can be carried from one place to another. The movement of sediments by wind, water, ice, or gravity is called erosion.

8 0
3 years ago
What are the methods that are used for heat transfer
Roman55 [17]

Answer:

Heat can travel from one place to another in three ways: Conduction, Convection and Radiation. Both conduction and convection require matter to transfer heat. If there is a temperature difference between two systems heat will always find a way to transfer from the higher to lower system.

Explanation:

Hope this helps

6 0
3 years ago
Professional Application: A 30,000-kg freight car is coasting at 0.850 m/s with negligible friction under a hopper that dumps 11
Nataliya [291]

Answer:

0.182 m/s

Explanation:

m1 = 30,000 kg, m2 = 110,000 kg, u1 = 0.85 m/s

let the velocity of loaded freight car is v

Use the conservation of momentum

m1 x u1 + m2 x 0 = (m1 + m2) x v

30,000 x 0.85 = (30,000 + 110,000) x v

v = 0.182 m/s

5 0
3 years ago
Describe how impacts between objects in the solar system have helped create notable features in the solar system such as craters
konstantin123 [22]
When 'The big bang' happened lots of large pieces of molten rock was flying around the solar system. As the rocks crashed together they got bigger and as the got bigger they attracted more rocks. Some scientists think that a large piece of molten rock hit the still developing Earth and created the Moon. This impact also caused the Earths angled spin. The Moon got trapped in Earth's orbit and has stayed ever since. Small astroids have hit the Moon causing craters. The Earth doesn't get hit as much because of our thicker atmosphere. Hope this helps!
4 0
3 years ago
The density of 2 kilograms of iron on Earth's surface is
Eduardwww [97]

Answer:

B. The same on the moon.

Explanation:

The density of an object is the ratio of the mass contained by the object to the volume occupied by that mass.

Density = \frac{Mass}{Volume}

When the object is taken from the earth to anywhere in the universe, its mass remains constant. The dimensions of the object and hence its volume also remains constant anywhere in the universe.

Therefore, the density of the object will also remain the same as it depends upon the mass and the volume of the object.

So, the correct option is:

<u>B. The same on the moon.</u>

5 0
3 years ago
Other questions:
  • What is the major role of the Nuclear Regulatory Commission? Monitoring and regulating nuclear waste generated and issues associ
    7·2 answers
  • How do we know Earth is spinning, not the Sun?
    8·1 answer
  • A mine shaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young's modulus of the cable is 10×1010 N/
    8·1 answer
  • Which of the following can happen to solar energy after it enters the earths atmosphere?
    6·2 answers
  • An object travels with velocity v = 4.0 meters/second and it makes an angle of 60.0° with the positive direction of the y-axis.
    8·1 answer
  • The surface of the dock is 6 feet above the water. If you pull the rope in at a rate of 2 ft/sec, how quickly is the boat approa
    13·1 answer
  • What kind of energy is used in baking?<br>A. Light<br>B. Sound<br>C. Heat<br>D. Mechanical​
    13·1 answer
  • Se coloca una tuerca con una llave, como muestra la figura, si el brazo r= 30 cm y el torque de apriete recomendado para la fuer
    13·1 answer
  • Can you help me please​
    6·1 answer
  • A body weighing 250 grams was dropped from a helicopter flying at an altitude of 100 meters. Determine the potential energy of t
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!