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Elina [12.6K]
3 years ago
10

Two clowns are launched from the same spring-loaded circus cannon with the spring compressed the same distance each time. Clown

A has a 40-kg mass; clown B a 60-kg mass. The relation between their kinetic energies at the instant of launch is
Physics
1 answer:
pochemuha3 years ago
7 0

Answer:

the kinetic energy of clown A is 0.444 times the kinetic energy of clown B.

Explanation:

Let the spring constant of the spring is k.

For clown A:

m = 40 kg

let the extension in the spring is y.

So, the spring force, F = k y

m g = k y

40 x g = k x y

y = 40 x g / k      ..... (1)

For clown B:

m' = 60 kg

Let the extension in the spring is y'.

So, the spring force, F' = k y'

m' g = k y'

y' = 60 x g / k      .....(2)  

Kinetic energy for A, K = 1/2 ky^2

Kinetic energy for B, K' = 1/2 ky'^2

So, K/K' = y^2/y'^2 K / K' = (40 x 40) / (60 x 60)     (from equation (1) and (2))

K / K' = 0.444

K = 0.444 K'

So the kinetic energy of clown A is 0.444 times the kinetic energy of clown B.

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nataly862011 [7]

Explanation:

Formula to calculate the electric potential is as follows.

            V_{A} = \frac{kq_{1}}{\sqrt{2}L} + \frac{kq_{2}}{L}

Putting the given values into the above formula as follows.

       V_{A} = \frac{kq_{1}}{\sqrt{2}L} + \frac{kq_{2}}{L}

               = \frac{9 \times 10^{9}}{0.25}[\frac{-3.3}{\sqrt{2}} + 4.2] \times 10^{-6}

               = 6.72 \times 10^{4} V

Hence, electric potential at point A is 6.72 \times 10^{4} V.

Now, the electric potential at point B is as follows.

         V_{B} = \frac{kq_{1}}{L} + \frac{kq_{2}}{\sqrt{2}L}

                  = \frac{9 \times 10^{9}}{0.25} [-3.3 + \frac{4.2}{\sqrt{2}}] \times 10^{-6}

                  = -1.19 \times 10^{4} V

Hence, electric potential at point B is -1.19 \times 10^{4} V.

8 0
4 years ago
Two particles with different charges are on the same equipotential line. Do these particles have the same electric potential ene
emmainna [20.7K]

Answer:

both charges will have different potential energies that will depend upon the charge magnitude.

Explanation:

It is given that both the charges are on the same equipotential line which means the potential V at which the two charges are is same.

Now the potential energy of a charge at potential V is given by

q×V where q is the charge value

Thus Higher the charge value for a given value of potential , higher will be the potential energy

Thus the larger charge will have higher potential energy and not the same.

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4 years ago
A particle's position is given by z(t) = −(6.50 m/s2)t2k for t ≥ 0. (Express your answer in vector form.) a. Find the particle's
blondinia [14]

Answer:

a) z'(t) =v(t) = -13t

Now we can replace the velocity for t=1.75 s

v(1.75s) = -13*1.75 =-22.75 \frac{m}{s}

For t = 3.0 s we have:

v(3.0s) = -13*3.0 =-39 \frac{m}{s}

b) v_{avg}= \frac{z_f - z_i}{t_f -t_i}

And we can find the positions for the two times required like this:

z_f = z(3.0s) = -(6.5 \frac{m}{s^2}) (3.0s)^2=-58.5m

z_i = z(1.75s) = -(6.5 \frac{m}{s^2}) (1.75s)^2=-19.906m

And now we can replace and we got:

V_{avg}= \frac{-58.5 -(-19.906) m}{3-1.75 s}= -30.875 \frac{m}{s}

Explanation:

The particle position is given by:

z(t) = -(6.5 \frac{m}{s^2}) t^2, t\geq 0

Part a

In order to find the velocity we need to take the first derivate for the position function like this:

z'(t) =v(t) = -13t

Now we can replace the velocity for t=1.75 s

v(1.75s) = -13*1.75 =-22.75 \frac{m}{s}

For t = 3.0 s we have:

v(3.0s) = -13*3.0 =-39 \frac{m}{s}

Part b

For this case we can find the average velocity with the following formula:

v_{avg}= \frac{z_f - z_i}{t_f -t_i}

And we can find the positions for the two times required like this:

z_f = z(3.0s) = -(6.5 \frac{m}{s^2}) (3.0s)^2=-58.5m

z_i = z(1.75s) = -(6.5 \frac{m}{s^2}) (1.75s)^2=-19.906m

And now we can replace and we got:

V_{avg}= \frac{-58.5 -(-19.906) m}{3-1.75 s}= -30.875 \frac{m}{s}

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How far does a car go in 30 seconds at a speed of 29 m/s?​
wolverine [178]

Answer:

870m

Explanation:

just multiply 30 by 29

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2. Relevant equations E=mc^2
 

3. The attempt at a solution Well for part (a), first I found the difference in the starting masses and the end masses ie, 232.037156u - (228.028741u + 4.002603u) = 0.005812u I then put this into the equation and got 5.413878MeV. I thought this was right until I read part (b) and now I'm starting to think this might be how I'm meant to do that part, not part (a). Could anyone tell me if I'm even on the right track with this question or should I be using different equations?


4 0
4 years ago
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