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
pshichka [43]
3 years ago
10

Block 2 of mass 1.00 kg is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 20

0 N/m. The other end of the spring is fixed to a wall. Block 1 of mass 2.00 kg, traveling at speed ????1 = 4.00 m/s, collides with block 2, and the two blocks stick together.When the blocks momentarily stop, by what distance is the spring compressed?
Physics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

x = 0.327 m

Explanation:

Block 2 of mass 1.00 kg is at rest

spring constant = 200 N/m            

Block 1 of mass 2 kg moving at 4 m/s

m₁ v₁ = (m₁ + m₂)V                                

2 x 4 = (2 + 1) V                                                      

V = 2.67 m/s                                                        

loss of kinetic energy = gain elastic potential energy

\dfrac{1}{2}mv^2 = \dfrac{1}{2}kx^2                  

\dfrac{1}{2}\times (3)\times 2.67^2 = \dfrac{1}{2}\times 200 \times x^2

x = 0.327 m

hence, the spring compressed distance is equal to x = 0.327 m

You might be interested in
If Maria lifts a mass of 10kg into a table of 1.25m high. How much gpe has the mass gained
SCORPION-xisa [38]

Answer:

gravitational potential energy of 10 kg mass is 122.625 J

Explanation:

Gravitational Potential energy gain is given as

U = mgh

here we know that

m = 10 kg

h = 1.25 m

now from above formula we have

U = (10)(1.25)(9.81)

U = 122.625 J

So gravitational potential energy of 10 kg mass is 122.625 J

3 0
3 years ago
A 15-µF capacitor and a 25-µF capacitor are connected in parallel, and charged to a potential difference of 60 V. How much energ
Alborosie

Answer:

Energy stored, E = 0.072 J

Explanation:

Given that,

Capacitance, C_1=15\ \mu F

Capacitance, C_2=25\ \mu F

These two capacitor are connected in parallel, and charged to a potential difference of, V = 60 volts

We know that in parallel combination of capacitor, the equivalent capacitance is given by :

C=C_1+C_2\\\\C=(15+25)\ \mu F\\\\C=40\times 10^{-6}\ F

The energy stored in the capacitor is given by :

E=\dfrac{1}{2}CV^2\\\\E=\dfrac{1}{2}\times 40\times 10^{-6}\times (60)^2\\\\E=0.072\ J

So, the energy stored in the capacitor in this capacitor combination is 0.072 J.

4 0
3 years ago
a piece of iron with a temperature of 300 degrees Celsius is dropped into a gallon of water with a temperature of 25 degrees Cel
notka56 [123]
Heat will be transferred from iron to water, because heat flows always from the higher temperature system to the lower temperature system.
7 0
3 years ago
For an object moving with constant negative acceleration, draw the following:
Tcecarenko [31]

Answer:

Kindly find the graphs attached

Explanation:

For figure 1: There is a steady increase in the position of the object as time increases. This is because despite the negative acceleration (deceleration), the object continues to move and cover more ground as time goes by.

<em>The straight line graph is observed because the acceleration is constant  and not varying.</em>

For Figure 2: The graph of velocity vs time will have an inverted nature. This is because since the object is decelerating, it is reducing in its velocity as time goes by (increases). <em>This is also in a straight line since the deceleration is constant.</em>

3 0
3 years ago
When a metal rod is heated, its resistance changes both because of a change in resistivity and because of a change in the length
monitta

Answer:

3.34\Omega

Explanation:

The resistance of a metal rod is given by

R=\frac{\rho L}{A}

where

\rho is the resistivity

L is the length of the rod

A is the cross-sectional area

The resistivity changes with the temperature as:

\rho(T)=\rho_0 (1+\alpha (T-T_0))

where in this case:

\rho_0 is the resistivity of silver at T_0=21.0^{\circ}C

\alpha=6.1\cdot 10^{-3} ^{\circ}C^{-1} is the temperature coefficient for silver

T=180.0^{\circ}C is the current temperature

Substituting,

\rho(180^{\circ}C)=\rho_0 (1+6.1\cdot 10^{-3}(180-21))=1.970\rho_0

The length of the rod changes as

L(T)=L_0 (1+\alpha_L(T-T_0))

where:

L_0 is the initial length at 21.0^{\circ}C

\alpha_L = 18\cdot 10^{-6} ^{\circ}C^{-1} is the coefficient of linear expansion

Substituting,

L(180^{\circ}C)=L_0(1+18\cdot 10^{-6}(180-21))=1.00286L_0

The cross-sectional area of the rod changes as

A(T)=A_0(1+2\alpha_L(T-T_0))

So, substituting,

A(180^{\circ}C)=A_0(1+2\cdot 18\cdot 10^{-6}(180-21))=1.00572A_0

Therefore, if the initial resistance at 21.0°C is

R_0 = \frac{\rho_0 L_0}{A_0}=1.70\Omega

Then the resistance at 180.0°C is:

R(180^{\circ}C)=\frac{\rho(180)L(180)}{A(180)}=\frac{(1.970\rho_0)(1.00285L_0)}{1.00572A_0}=1.9644\frac{\rho_0 L_0}{A_0}=1.9644 R_0=\\=(1.9644)(1.70\Omega)=3.34\Omega

7 0
3 years ago
Other questions:
  • Calculate the gravitational force between a 10 kg ball and 20 kg ball
    7·1 answer
  • A charged particle is injected at 211 m/s into a 0.0633‑T uniform magnetic magnetic field perpendicularly to the field. The diam
    15·1 answer
  • What causes chemical weathering?
    8·2 answers
  • Which sentences describe central ideas of the video? Select all that apply.
    12·1 answer
  • Which geologic feature is most likely to form at a mid-ocean ridge: Peninsula, volcano, delta, or plateau?
    15·2 answers
  • What is a group of individuals of the same species living in the same geographic area
    15·1 answer
  • Unscramble the bolded letters to guess the 6 letter word code. Did you get the poses or exercises correct? MOUNTAIN POSE TRIANGL
    11·1 answer
  • An LED light bulb is favored over an incandescent light bulb because it is more , what?
    8·1 answer
  • Two free charges +q and +4q are a distance l apart. A third charge is placed so that the entire system is in equilibrium. Find t
    8·1 answer
  • A plant cell is no longer capable of capturing energy from sunlight and converting it into chemical energy. Which organelle is m
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!