Ask question

Ask question

All categories

3 years ago

13

A roller skater of 47kg moving with a velocity of 12 m/s to the east picks up a bag of 6.0 kg. What is the final velocity of the

person traveling with the basket? show your work HINT: Use the law of conservation of momentum in the perfectly inelastic collision m1v1i + m2v2i = (m1+m2) vf
plz guys i have exam now answer her quikly

1 answer:

11Alexandr11 [23.1K]3 years ago

4 0

Answer:

v_f = 10.85 m/s

Explanation:

We will apply the law of conservation of momentum here:

$m_{1}v_{1i} + m_{2}v_{2i} = m_{1}v_{1f}+m_{2}v_{2f}\\$

where,

m₁ = mass of roller skater = 47 kg

m₂ = mass of bag = 6 kg

v_1i = initial speed of roller skater = 12 m/s

v_2i = initial speed of the bag = 0 m/s

v_1f = final speed of the roller skater = ?

v_2f = final speed of the bag = ?

Both the bag and the skater will have same speed at the end because kater is carrying the bag:

v_1f = v_2f = v_f

Therefore, the equation will become:

$(47\ kg)(12\ m/s)+(6\ kg)(0\ m/s)=(47\ kg)(v_{f})+(5\ kg)(v_{f})\\564\ N.s = (47\ kg+5\ kg)(v_{f})\\v_{f} = \frac{564\ N.s}{52\ kg}\\$

<u>v_f = 10.85 m/s</u>

You might be interested in

A quantity of gas has a volume of 1.5 m3 and an absolute pressure of 95 kPa. When the gas is compressed to a volume of 0.5 m3, w

nordsb [41]

at isothermal condition we know that when temperature is constant we will have

$P_1V_1 = P_2V_2$

here we will have

$P_1 = 95 kPa$

$V_1 = 1.5 m^3$

Now gas is compressed and its final volume will become

$V_2 = 0.5 m^3$

now from above formula we have

$(95 kPa)(1.5 m^3) = (P_2)(0.5 m^3)$

now we have

$P_2 = \frac{1.5 m^3}{0.5 m^3} (95 kPa)$

$P_2 = 285 kPa$

so final pressure will be 285 kPa

7 0

3 years ago

If you put in 10 J of work to push 1 c of charge against and electric field what will be its voltage with respect to its startin

pashok25 [27]

It will have a value if 10V as a volt is a measurement of joules per charge so if there is 10j and 1c that makes 10V and since there is 10 J at its position using .5mv^2 we can solve this. First we find mass by knowing per electron it has a mass of 9.1E-31 kg and a charge is 1.6E-19C so we then divide 1C/1.6E-19 getting us roughly 6.2E18 electrons, then by multiplying the number of electrons by mass of an electron we get the total mass which is 5.642E-12kg. Now we can use the energy equation and plug in out mass so 10J=.5*(5.642E-12kg)*v^2. Then isolating v we end up with sqrt (2(10J)/5.642E-12kg)=V so V equals 3.5E12

3 0

3 years ago

Simpson drives his car with an average velocity of 48.0 km/h to the east. How long will it take him to drive 144 km on a straigh

Lorico [155]

Answer:

The time save by Simpson is 25.8 minutes.

Explanation:

Given that,

Velocity of the car, v = 48 km/h

Distance covered by the car, d = 144 km

Let t is the time taken by the car. Speed of an object is given by distance covered per unit time. It is given by :

$v=\dfrac{d}{t}$

$t=\dfrac{d}{v}$

$t=\dfrac{144\ km}{48\ km/h}$

t = 3 hours

If the velocity is increased to 56 km/h to the east. Time taken is given by :

$t'=\dfrac{144\ km}{56\ km/h}$

t' = 2.57 seconds

The time save by Simpson increasing his average velocity is given by :

$\Delta t=t-t'$

$\Delta t=3-2.57$

$\Delta t=0.43\ hours$

or

$\Delta t=25.8\ min$

So, the time save by Simpson is 25.8 minutes. Hence, this is the required solution.

5 0

4 years ago

A truck with 0.410 m radius tires travels at 25.0 m/s. What is the angular velocity of the rotating tires in radians per second?

Eduardwww [97]

relation between linear velocity and angular velocity is given as

$v = R\omega$

here

v = linear speed

R = radius

$\omega$ = angular speed

now plug in all data in the equation

$25.0 = 0.410 \omega$

$\omega = \frac{25}{0.410}$

$\omega = 60.9 rad/s$

so rotating speed is 60.9 rad/s

6 0

3 years ago

Why do you think soccer is an important sport?

Ostrovityanka [42]

Answer:

Soccer is a great way to maintain health, fitness, strength, and endurance. Soccer can help with cardiovascular health, lower body fat and improves muscle tone, increases muscle and bone strength, and improves health due to shifting between walking, running, and sprinting. Soccer can also promote teamwork and sharing, increase skills in concentration, persistence, and self-discipline, and can provide an opportunity to build your confidence and self-esteem, and it can also reduce anxiety.

Explanation:

4 0

3 years ago