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brilliants [131]
3 years ago
7

16. Why does the number of carts matter when designing a roller coaster track? (Hint: PE = mass x gravity x height and KE = /2 m

ass x velocity ^2)
Choose 2 correct statements.

A. Adding carts increases the mass and decreases the total energy in the system.

B. Adding carts increases the mass and increases the total energy in the system.

C. Removing carts increases the mass and decreases the total energy in the system.

D. Removing carts decreases the mass and decreases the total energy in the system.​
Physics
1 answer:
NeTakaya3 years ago
8 0

Answer:

Answer B. A<em>dding carts increases the mass and increases the total energy in the system.</em>

Explanation:

By adding carts, the mass of the system is larger, and therefore, both the potential energy and the kinetic energy of the system will increase, thus contributing to larger final velocities as the carts roll down the tracks.

The correct answer is therefore the one shown in answer B:

<em>Adding carts increases the mass and increases the total energy in the system.</em>

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Sound travels at a rate of 340 m/s in all directions through air. Matt rings a very loud bell at one location, and Steve hears i
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A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with rig
aleksandr82 [10.1K]

Answer:

The rate of change of the shadow length of a person is 2.692 ft/s

Solution:

As per the question:

Height of a person, H = 20 ft

Height of a person, h = 7 ft

Rate = 5 ft/s

Now,

From Fig.1:

b = person's distance from the lamp post

a = shadow length

Also, from the similarity of the triangles, we can write:

\frac{a + b}{20} = \frac{a}{7}

a = \frac{7}{13}b

Differentiating the above eqn w.r.t t:

\frac{da}{dt} = \frac{7}{13}.\frac{db}{dt}

Now, we know that:

Rate = \frac{db}{dt} = 5\ ft/s

Thus

\frac{da}{dt} = \frac{7}{13}.\times 5 = 2.692\ ft/s

5 0
3 years ago
Suppose a distant world with surface gravity of 5.20 m/s2 has an atmospheric pressure of 7.16 ✕ 104 Pa at the surface. (a) What
Nesterboy [21]

Answer:

899752.13598 N

Explanation:

p = Pressure on the plate = 7.16\times 10^4\ Pa

A = Area = \pi r^2=\pi 2^2=\pi 4

F = Force on the region

When force is divided by area we get pressure

p=\frac{F}{A}\\\Rightarrow F=p\times A\\\Rightarrow F=7.16\times 10^4\times \pi 4\\\Rightarrow F=899752.13598\ N

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6 0
3 years ago
Check the correctness of formula t=2π √m/k, dimensionally​
pantera1 [17]

Hi there! Lets see!

  • m is mass, and its units are kg
  • k is the elastic constant measured in newtons per meter (N/m), or kilograms per second squared kg/s²

Therefore:

\sqrt{\dfrac{m}{k}} =\sqrt{\dfrac{[kg]}{[\dfrac{kg}{s^2}]}}  =\sqrt{\dfrac{[kg]}{[kg]}\cdot s^2} = \sqrt{[s]^2} = s

The period is given in seconds so the formula is dimensionally​ correct.

4 0
3 years ago
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