If vector b is added to vector a under what conditions does the resultant vector has magnitude a+b?

A 465 g block slides along a frictionless surface at a speed of 0.35 m/s. It runs into a horizontal massless spring with spring

katovenus [111]

Answer:

a) The duration, during which the block remain in contact with the spring is 0.29 s

b) The period of the simple harmonic oscillatory motion depends only on the mass and spring constant, therefore when the speed is doubled, the duration of contact remains the same as 0.29 s.

Explanation:

Mass of the block = 465 g

Surface speed = 0.35 m/s

Spring constant , k = 54 N/m

$T = 2\times \pi \times \sqrt{\frac{m}{K} } = 2\times \pi \times \sqrt{\frac{0.465}{54} }$ = 0.58 s

a) Since the period for the oscillatory motion is 0.58 s, then the time when the block and spring remain in contact is T/2 = 0.29 s

b) When the speed is doubled, we have

$T = 2\times \pi \times \sqrt{\frac{m}{K} }$

Therefore, since T is only dependent on the mass, m and the spring constant, K, then the time it takes when the speed is doubled remain as

T /2 = 0.29 s

7 0

3 years ago

Give an example of the of conservation of momentum

seropon [69]

Refraction is the bending of a wave when it enters a medium where its speed is different. This phenomenon is explained by the conservation of energy and conservation of momentum.

Law of Conservation of energy states the total energy of an isolated system remains constant.

law of conservation of momentum states that in a closed system the total momentum is constant.

In refraction, when a medium changes, the phase velocity also changes but its frequency does not; it remains constant.

3 0

3 years ago

What property makes ocean water a good conductor of electricity

Lostsunrise [7]

Answer:

The salt molecules (Sodium ions and Chlorine ions) in the ocean water makes it a good conductor of electricity.

Explanation:

Conductivity refers to the ability of an object to transmit electricity. Transmitting electricity means allowing electricity to pass through the material. The best conductor of electricity is "silver." Other elements which are also good conductors are: gold, aluminum, copper, etc. Those which are poor in conducting electricity are called insulators. These include glass, plastic, rubber, paper, styrofoam, etc.

Ocean water is considered a good conductor of electricity because it contains Sodium ions and Chlorine ions. Remember that ions carry electrical charges, which could either be positive or negative. The Sodium ion here is positively charged, while the Chlorine ion is negatively charged. Being mixed with water makes it an electrolyte solution. When electricity travels, it needs to have two sources: a positive terminal and a negative terminal. This means that the Sodium ions will be attracted to the electricity's negative terminal, while the Chlorine ions will be attracted to the positive terminal. This will allow the electrons to flow through the medium, thus creating a circuit for electricity to pass through.

This is the reason why ocean water is a good conductor of electricity.

5 0

3 years ago

Which state of matter can be compressed?

MA_775_DIABLO [31]

Gases............In gases, the atoms are much more spread out than in solids or liquids, and the atoms collide randomly with one another. A gas will fill any container, but if the container is not sealed, the gas will escape. Gas can be compressed much more easily than a liquid or solid

3 0

3 years ago

Read 2 more answers

If 27 J of work are needed to stretch a spring from 15 cm to 21 cm and 45 J are needed to stretch it from 21 cm to 27 cm, what i

kupik [55]

Answer:

9 cm.

Explanation:

The energy used for stretch the spring from $15 cm$ to $21 cm$ will be , $E_{1}=27J$

The energy used for stretch the spring from $21 cm$ to $27 cm$ will be , $E_{2}=45J$

using the energy of spring formula ,we find that

$27 = \frac{1}{2}K((21-L^{2})-(15-L^{2}))$

$45 = \frac{1}{2}K((27-L^{2})-(21-L^{2}))$

Dividing both the equation will get,

$\frac{3}{5}=\frac{(21-L)^{2}-(15-L)^{2}}{(27-L)^{2}-(21-L)^{2}}\\5((21-L)^{2}-(15-L)^{2})=3((27-L)^{2}-(21-L)^{2})\\3(729 - 54L + L^{2}- 441 + 42L - L^{2} ) = 5(441 - 42L + L^{2} - 225 + 30L - L^{2} )\\3(288 - 12L) = 5(216 - 12L)\\24L = 216\\L = 9 cm$

Therefore, the natural length of the spring is, 9 cm.

4 0

3 years ago

If vector b is added to vector a under what conditions does the resultant vector has magnitude a+b?​

If vector b is added to vector a under what conditions does the resultant vector has magnitude a+b?