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
aleksley [76]
3 years ago
6

A 3.20 kg block starts at rest and slides a distance d down a frictionless β = 30.0 ◦ incline, where it runs into a spring with

spring constant k = 431 N/m. The block slides an additional 21.0 cm before it is brought to rest momentarily by compressing the spring. (a) What is the value of d? (b) Where is the speed of the block at the maximum value? Is it when the block first comes into contact with the spring? If not, how much further below this point of contact does it travel before it reaches this maximum speed? Compare this point to the point where there is zero net force on the block.
Physics
1 answer:
Virty [35]3 years ago
7 0

Answer:

Explanation:

a ) work done by gravitational force

= mg sinθ ( d + .21)

Potential energy stored in compressed spring

= 1/2 k x²

= .5 x 431 x ( .21 )²

= 9.5

According to conservation of energy

mg sinθ ( d + .21)  = 9.5

3.2 x 9.8 x sin 30( d + .21 ) = 9.5

d = 40 cm

b )

As long as mg sin30 is greater than kx ( restoring force ) , there will be acceleration in the block.

mg sin30 = kx

3.2 x 9.8 x .5 = 431 x

x =  3.63 cm

When there is compression of 3.63 cm in the spring , block will have maximum velocity. there after its speed will start decreasing.

You might be interested in
In two or more complete sentences, explain the effect of gases being trapped in the atmosphere.
MAVERICK [17]
Earth's surface warms up in the sunlight. At night, Earth's surface cools, releasing the heat back into the air. But some of the heat istrapped<span> by the greenhouse </span>gases<span> in the </span>atmosphere<span>. ... Greenhouse </span>effect<span> of Earth's </span>atmosphere<span> keeps some of the Sun's energy from escaping back into space at night.</span>
8 0
4 years ago
The new sweet potato plant grew from the root of the original through
noname [10]
The old sweet potatoes rootlings
3 0
4 years ago
A 12 V automobile battery is connected to an electric starter motor. The current
krek1111 [17]

Answer: 3000\ W,\ 78,000\ J

Explanation:

Given

The voltage of the battery is V=12\ V

Current through the battery is I=250\ A

(a) Power is the product of voltage and current

Power dissipates is given by

P=VI\\P=12\times 250\\P=3000\ W

(b) Energy delivered

E=P\times t

E=3000\times 26\\E=78,000\ J

3 0
3 years ago
A piston-cylinder device initially contains 0.08 m3 of nitrogen gas at 150 kPa and 200°C. The nitrogen is now expanded to a pres
Lemur [1.5K]

Answer:

V_2 = 0.125 m^3

Work done =  = 5 kJ

Explanation:

Given data:

volume of nitrogen v_1 = 0.08 m^3

P_1 = 150 kPa

T_1 = 200 degree celcius = 473 Kelvin

P_2 = 80 kPa

Polytropic exponent n = 1.4

\frac{T_2}{T_1} = [\frac{P_2}{P_1}]^{\frac{n-1}{n}

putting all value

\frac{T_2}{473} = [\frac{80}{150}]^{\frac{1.4-1}{1.4}

\frac{T_2} = 395.23 K = 122.08 DEGREE \ CELCIUS

polytropic process is given as

P_1 V_1^n = P_2 V_2^n

150\times 0.08^{1.4} = 80 \times V_2^{1.4}

V_2 = 0.125 m^3

work done = \frac{P_1 V_1 -P_2 V_2}{n-1}

= \frac{150 \times 0.8 - 80 \times 0.125}{1.4-1}

                  = 5 kJ

4 0
3 years ago
A space rocket is launched and accelerates uniformly to 160 m/s in 4.5 s. Calculate the acceleration of the rocket.​
-BARSIC- [3]

Answer:

<h2>35.56 m/s²</h2>

Explanation:

The acceleration of an object given it's velocity and time taken can be found by using the formula

a =  \frac{v}{t}  \\

v is the velocity

t is the time

From the question we have

a =  \frac{160}{4.5}  = 35.55555...

We have the final answer as

<h3>35.56 m/s²</h3>

Hope this helps you

6 0
3 years ago
Other questions:
  • Kendra separately pushes two boxes in a straight line at constant velocity over the same distance on level ground. Each box begi
    14·1 answer
  • A clinical psychologist is one type of pure basic research psychologist . True are false
    14·1 answer
  • Light traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under whic
    12·1 answer
  • A garden hose having with an internal diameter of 1.1 cm is connected to a (stationary) lawn sprinkler that consists merely of a
    11·1 answer
  • An archer puts a 0.300kg arrow into a bow and draws the bowstring back. She exerts an average force of 201N to draw the bow stri
    5·1 answer
  • What two systems work with the digestive system to control digestion speed? a. Endocrine and Excretory c. Circulatory and Nervou
    10·2 answers
  • The movement of water is like the flow of the electricity. Electricity must have a complete path for the flow. This movement is
    5·1 answer
  • Type of pulley that has additional numbers of ropes that help to increase mechanical advantage
    14·1 answer
  • Choose the word from the drop-down menu that completes each sentence.
    9·2 answers
  • All objects in the universe are attracted to each other by the force of. A. effort
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!