How much larger is the diameter of Jupiter compared to the diameter of Saturn?

A proton that has a mass m and is moving at 270 m/s in the i hat direction undergoes a head-on elastic collision with a stationa

Nataly_w [17]

Answer:

$V_p = 267.258 m/s$

$V_n = 38.375 m/s$

Explanation:

using the law of the conservation of the linear momentum:

$P_i = P_f$

where $P_i$ is the inicial momemtum and $P_f$ is the final momentum

the linear momentum is calculated by the next equation

P = MV

where M is the mass and V is the velocity.

so:

$P_i = m(270 m/s)$

$P_f = mV_P + M_nV_n$

where m is the mass of the proton and $V_p$ is the velocity of the proton after the collision, $M_n$ is the mass of the nucleus and $V_n$ is the velocity of the nucleus after the collision.

therefore, we can formulate the following equation:

m(270 m/s) = m $V_p$ + 14m $V_n$

then, m is cancelated and we have:

270 = $V_p$ + $14V_n$

This is a elastic collision, so the kinetic energy K is conservated. Then:

$K_i = \frac{1}{2}MV^2 = \frac{1}{2}m(270)^2$

and

Kf = $\frac{1}{2}mV_p^2 +\frac{1}{2}(14m)V_n^2$

then,

$\frac{1}{2}m(270)^2$ = $\frac{1}{2}mV_p^2 +\frac{1}{2}(14m)V_n^2$

here we can cancel the m and get:

$\frac{1}{2}(270)^2$ = $\frac{1}{2}V_p^2 +\frac{1}{2}(14)V_n^2$

now, we have two equations and two incognites:

270 = $V_p$ + $14V_n$ (eq. 1)

$\frac{1}{2}(270)^2$ = $\frac{1}{2}V_p^2 +\frac{1}{2}(14)V_n^2$

in the second equation, we have:

36450 = $\frac{1}{2}V_p^2 +\frac{1}{2}(14)V_n^2$ (eq. 2)

from this last equation we solve for $V_n$ as:

$V_n = \sqrt{\frac{36450-\frac{1}{2}V_p^2 }{\frac{1}{2} } }$

and replace in the other equation as:

270 = $V_p +$ 14 $\sqrt{\frac{36450-\frac{1}{2}V_p^2 }{\frac{1}{2} } }$

so,

$V_p = -267.258 m/s$

Vp is negative because the proton go in the -i hat direction.

Finally, replacing this value on eq. 1 we get:

$V_n = \frac{270+267.258}{14}$

$V_n = 38.375 m/s$

3 0

3 years ago

What is frictional less pulley

Talja [164]

Answer:

Conditions under which the belt and pulleys are operating – The friction between the belt and pulley may decrease substantially if the belt happens to be muddy or wet, as it may act as a lubricant between the surfaces.

Explanation:

I hope that this would be helpful

7 0

2 years ago

As an object falls

Sidana [21]

As an object falls in response to gravitational force, its velocity increases
and its acceleration is unchanged. On Earth, its acceleration is 9.8 m/s².

3 0

2 years ago

Read 2 more answers

Jody does long distance running and also strength trains twice a week.

murzikaleks [220]

Answer:

Jody will have strong bones and show muscle hypertrophy. 

Explanation:

Long distance running practiced regularly helps in increasing the strength of bones. Muscular hypertrophy is the increase in mass of skeletal muscles due to the increase in the size of myofibrils or increase in muscle glycogen storage. Strength training exercises performed regularly induce muscular hypertrophy.

During strength training exercises muscles undergo contraction and repeated contraction breaks muscle fibres. New muscle fibres are added as a means of repair and this happens at the relaxing phase of muscles. More muscle fibres are added to compensate the damage and thus muscle mass increases. 

6 0

3 years ago

An 800-W heater raises the temperature of 4 kg of soup by 40 °C in 13 minutes.

Tju [1.3M]

Answer:

Q=0.16*c kJ

Explanation:

Heat transfer and energy changes is related by the equation

Q=mcΔT

where

Q=heat transfer

m=mass of substance

c=specific heat of the material

ΔT= change in temperature

Given

m= 4 kg

c=c

ΔT=40° C

Q=4*c*40

Q=160c

Q=160/1000*c kJ

Q=0.16*c kJ

6 0

3 years ago