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wolverine [178]
2 years ago
6

The pressure in a container will stay the same if you ——?

Physics
1 answer:
elena55 [62]2 years ago
8 0
I think it’s D...not sure tho !
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A 62-kg person jumps from a window to a fire net 20.0 m directly below, which stretches the net 1.4 m. Assume that the net behav
gayaneshka [121]

Answer:

a) x = 0.098

b) x = 2.72 m

Explanation:

(a) To find the stretch of the fire net when the same person is lying in it, you can assume that the net is like a spring with constant spring k. It is necessary to find k.

When the person is falling down he acquires a kinetic energy K, this energy is equal to the elastic potential energy of the net when it is max stretched.

Then, you have:

K=U\\\\\frac{1}{2}mv^2=\frac{1}{2}kx^2        (1)

m: mass of the person = 62kg

k: spring constant = ?

v: velocity of the person just when he touches the fire net = ?

x: elongation of the fire net = 1.4 m

Before the calculation of the spring constant, you calculate the final velocity of the person by using the following formula:

v^2=v_o^2+2gy

vo: initial velocity = 0 m/s

g: gravitational acceleration = 9.8 m/s^2

y: height from the person jumps = 20.0m

v=\sqrt{2gy}=\sqrt{2(9.8m/s^2)(20.0m)}=14\frac{m}{s}

With this value you can find the spring constant k from the equation (1):

mv^2=kx^2\\\\k=\frac{mv^2}{x^2}=\frac{(62kg)(14m/s)^2}{(1.4m)^2}=6200\frac{N}{m}

When the person is lying on the fire net the weight of the person is equal to the elastic force of the fire net:

W=F_e\\\\mg=kx

you solve the last expression for x:

x=\frac{mg}{k}=\frac{(62kg)(9.8m/s^2)}{6200N/m}=0.098m

When the person is lying on the fire net the elongation of the fire net is 0.098m

b) To find how much would the net stretch, If the person jumps from 38 m, you first calculate the final velocity of the person again:

v=\sqrt{2gy}=\sqrt{2(9.8m/s^2)(38m)}=27.29\frac{m}{s}

Next, you calculate x from the equation (1):

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(62kg)(27.29m/s)^2}{6200N/m}}\\\\x=2.72m

The net fire is stretched 2.72 m

5 0
2 years ago
A county commissioner wants to reduce the amount of waste sent to the local landfill. Which of the following would result in the
Nookie1986 [14]
The recycling of glass, plastic, and metal would highly reduce the amount of the waste being sent to the local landfill. The large plastic container, fiberboards, etc, are removed by hand for this. This sorting makes it easy to recycle and reuse the plastic and fiber materials. 
8 0
2 years ago
gives the speed v versus time t for a 0.500 kg object of radius 6.00 cm that rolls smoothly down a 30° ramp. The scale on the ve
ddd [48]

Answer:

Rotational inertia of the object is given as

I = 7.2 \times 10^{-4} kg m^2

Explanation:

As we know that the acceleration of the object on inclined plane is given as

a = \frac{gsin\theta}{1 + k^2/R^2}

now we know that velocity at any instant of time is given as

v = at

now we know that if the graph between velocity and time is given then the slope of the graph will be same as acceleration

so here we have

\frac{gsin\theta}{1 + k^2/R^2} = slope

now from the graph slope of the graph is given as

slope = \frac{3.5 - 0}{1}

\frac{gsin\theta}{1 + k^2/R^2} = 3.5

\frac{9.81 sin30}{1 + k^2/R^2} = 3.5

k^2 = 0.4 R^2

now rotational inertia is given as

I = mk^2

I = 0.5(0.4)(0.06)^2

I = 7.2 \times 10^{-4} kg m^2

8 0
3 years ago
Amber moves from her desk to the door in 17 seconds. Her speed changes from rest to 5 m/s. What is Amber's average acceleration?
VMariaS [17]
Vf - vi/ time
5 - 0/17
0.29 m/s square
4 0
2 years ago
Name 2 common methods of polymerization.
navik [9.2K]

Answer: Addition polymerization & Condensation polymerization

6 0
2 years ago
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