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
Gnoma [55]
3 years ago
8

A 2.25 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0340 m . The spring has

force constant 855 N/m . The coefficient of kinetic friction between the floor and the block is 0.45 . The block and spring are released from rest and the block slides along the floor. What is the speed of the block when it has moved a distance of 0.0200 m from its initial position? (At this point the spring is compressed 0.0140 m .)
Physics
1 answer:
skelet666 [1.2K]3 years ago
5 0

Answer:

v = 0.434 m/s

Explanation:

let k be the spring force constant. for all the calculations.

the energy stored in the spring is given by:

Es = 1/2×k×(x^2)

    = 1/2×855×(0.0340)^2

    = 0.49419 J

then, the work done by friction is given by:

Wf = f×x = μ×m×g×x = (0.45)×(2.25)×(9.8)×(0.0200) = 0.19845 J

then, the energy stored in the spring at 0.0200 m is:

E = 1/2×k×x^2 = 1/2×(855)×(0.0140)^2 = 0.08379 J

by conservation of energy:

            Es = Wf + E + 1/2×m×v^2

0.49419 J = 0.19845 J + 0.08379 J + 1/2×m×v^2

0.49419 J = 0.19845 J + 0.08379 J + 1/2×(2.25)×v^2

  0.21195 = 1.125×v^2

             v = 0.434 m/s

Therefore, the speed of the block when it has moved 0.0200 from the initial position is 0.434 m/s.

You might be interested in
Identify the number of neutrons in one atom of sulfur with an isotopic mass number of 34 amu.
Musya8 [376]
So, using the periodic table of elements, we know that the atomic number of sulfur is 16, which stands for the number of protons/electrons in the atom. Since the mass number, in this case is 34, is the sum of protons and neutrons, all we have to do is subtract 16 from 34, which will give us 18, the number of neutrons for this isotope of sulfur. :)
6 0
3 years ago
Read 2 more answers
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Paha777 [63]
Light sound and thermal
6 0
3 years ago
Read 2 more answers
High voltage power is often carried in wire bundles made up of individual strands. In your initial post to the discussion, discu
Firdavs [7]

Answer:

<em>There will  be a huge problem of holding the wire strands together, and the power losses will also be amplified.</em>

Explanation:

The force per unit length on two current carrying conductors, lying parallel to each other is proportional to the product of the current through the conductors, and inversely proportional to their distance apart. This force is attractive if the current flows through these conductors in the same direction, and is repulsive if it flows in the opposite direction.

For the strand of wire that make up a high voltage wire bundle, there will be a force of attraction pulling the wires closer to each other, and they will experience the maximum pulling force possible, since they lie next to each other. This force helps to hold these wires in a high tension wire strand together, limiting the area, and reducing "skin effect."

In the case that this wires in the wire strand acts in opposite of the known behavior, the wires will repel and push each other apart. This pushing apart will increase power loss due "skin effect" which is increased by an increase in exposed surface area of the wire strands. This will pose a big problem for high tension transmission.

6 0
3 years ago
There is a very slight change in gravity at the top of a mountain. Which property
son4ous [18]

Answer:

The entity that decreases is the Weight.

Explanation:

Every object on the surface of the earth is usually pulled downwards by the action of gravity. The force or weight is W = mg

Now, the farther one gets away from the surface of the earth by climbing a mountain, the further the person is from the Earth's centre of gravity.

We know that the formula for Force of gravity away from the Earth's surface is given by;

F_g = GM1M2/r²

So the greater the distance, the lesser the gravitational force.

Now, the gravitational force equals the weight of the individual.

Thus, the entity that decreases is the Weight of the individual.

8 0
2 years ago
A bus and a car have an inelastic head-on collision. The bus has a mass of 1.5 × 103 kilograms and an initial velocity of 20 met
makkiz [27]

Answer:

+5300 kg m/s

Explanation:

In any type of collision, the total momentum is conserved. Therefore, we can just calculate the total momentum before the collision, and the final momentum will be equal to the initial one.

The total momentum before the collision is:

p_i = m_1 u_1 + m_2 u_2

where

m_1 = 1.5 \cdot 10^3 kg is the mass of the bus

m_2 = 9.5\cdot 10^2 kg is the mass of the car

u_1 = 20 m/s is the initial velocity of the bus

u_2 = -26 m/s is the initial velocity of the car

Substituting the numbers, we find

p_1 = (1.5 \cdot 10^3 kg)(20 m/s)+(9.5\cdot 10^2 kg)(-26 m/s)=5300 kg m/s

And since the total momentum is conserved, this is also the final momentum after the collision.

7 0
3 years ago
Read 2 more answers
Other questions:
  • A student attaches a block of mass M to a vertical spring so that the block-spring system will oscillate if the block-spring sys
    14·1 answer
  • the force exerted by gravity,electricity,and magnetism act at a distance with no physical connection. for this reason, they are
    6·2 answers
  • At an instant when a soccer ball is in contact with the foot of the player kicking it, the horizontal or x component of the ball
    12·1 answer
  • The number of neutrons in an atom is determined by which if the following means?
    7·2 answers
  • What are the products in the reaction in the introduction above? Select all that apply.
    8·1 answer
  • Pls help me... taking a quiz.
    14·1 answer
  • What happens to most of the light waves that strike a clear pane of glass? O A. absorption B. diffraction O C. reflection O D. t
    10·2 answers
  • Your friend says their laptop speakers
    10·1 answer
  • PLEASE HELP I'LL GIVE BRAINLIEST: Consider a sound wave produced by a tuning fork. Through which materials would the sound trave
    6·2 answers
  • The Earth's crust is made of tectonic plates. These plates are constantly in motion. How are earthquakes related to the movement
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!