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joja [24]
3 years ago
9

A 50 g dart rests up against a spring that has been compressed 0.04 meters. It has a spring constant of 1560 N/m.What is the max

imum velocity of the dart after the spring has transferred all its energy to it.
Physics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer:

The maximum velocity of the dart after the spring has transferred all its energy to it is 7.06 m/s.  

Explanation:

Given that,

Mass of the dart, m = 50 g = 0.05 kg

Compression in the spring, x = 0.04 m

Spring constant, k = 1560 N/m

We need to find the maximum velocity of the dart after the spring has transferred all its energy to it. The kinetic energy is converted to elastic potential energy as :

\dfrac{1}{2}mv^2=\dfrac{1}{2}kx^2

v=\sqrt{\dfrac{kx^2}{m}} \\\\v=\sqrt{\dfrac{1560\times (0.04)^2}{0.05}} \\\\v=7.06\ m/s

So, the maximum velocity of the dart after the spring has transferred all its energy to it is 7.06 m/s.

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An airline employee tosses two suitcases in rapid succession with a horizontal velocity of 7.2 ft/s onto a 50-lb baggage carrier
zalisa [80]

Answer:

m₁ = 70 lb

Explanation:

Here we will use the law of conservation of momentum:

m₁u₁ + m₂u₂ + m₃u₃ = m₁v₁ + m₂v₂ + m₃v₃

where,

m₁ = mass of first suitcase = ?

m₂ = mass of second suitcase = 30 lb

m₃ = mass of baggage carrier = 50 lb

u₁ = initial speed of first suitcase = 7.2 ft/s

u₂ = initial speed of second suitcase = 7.2 ft/s

u₃ = initial speed of baggage carrier = 0 ft/s

v₁ = Final speed of first suitcase = 4.8 ft/s

v₂ = Final speed of second suitcase = 4.8 ft/s

v₃ = Final speed of baggage carrier = 4.8 ft/s

because after collision all three will have same speed

Therefore,

(m₁)(7.2 ft/s) + (30 lb)(7.2 ft/s) + (50 lb)(0 ft/s) = (m₁)(4.8 ft/s) + (30 lb)(4.8 ft/s) + (50 lb)(4.8 ft/s)

(m₁)(7.2 ft/s) + (216 lb ft/s) + (0 lb ft/s) = (m₁)(4.8 ft/s) + (144 lb ft/s) + (240 lb ft/s)

(m₁)(7.2 ft/s) - (m₁)(4.8 ft/s) = 168 lb ft/s

m₁ = (168 lb ft/s)/(2.4 ft/s)

<u>m₁ = 70 lb</u>

6 0
3 years ago
__________________________ are made of rock or metal, which often collide with Earth
konstantin123 [22]

Answer:

Planets are bodies of rock or gas that are named after ancient gods.

Asteroids and Meteoroids are made of rock or metal, which often collide with Earth.

The terrestrial planets are more like the Earth.

The Juno spacecraft is exploring the planet Jupiter.

Explanation:

The planets and other stars in our solar system were similarly baptized. The planets were named after ancient gods. Other stars were baptized with names chosen by scientists or according to their peculiarity. Most of the planets were baptized by ancient Chinese astronomers, and later, by Babylonians. But over time different civilizations changed the names of the planets.

An asteroid is a smaller body in the solar system, usually on the order of just a few hundred kilometers. Meteoroids, in turn, are fragments of rocks that form from comets and asteroids. The luminous effect is produced when fragments of celestial bodies ignite in contact with the Earth's atmosphere due to friction. Both asteroids and meteoroids are made of rock or metal, which often collide with Earth.

The terrestrial planets are the most similar to the earth. These planets are those formed mainly by rocks and metals, have a solid surface without the incidence of rings, as is the case with Mercury, Venus and Mars.

The Juno spacecraft is exploring the planet Jupiter. This probe has already given us several unprecedented discoveries about the largest gas giant in the Solar System, in addition to sending us sensational images showing the complex and beautiful atmosphere of the planet.

6 0
4 years ago
Read 2 more answers
A batter hits two baseballs with the same force.One hits the ground near third base.The other is a home run out of the park.Wher
andrezito [222]

The formula for work is:

W = F * d  Where W is work, F is Force, and d is distance.

Without doing any math, it can be seen from the equation that work is directly proportional to the force applied and the distance it travels.  The homerun hit both traveled more distance and had a grater force applied to it in order to achieve this distance (assuming both baseballs weighed the same).  Based on this reasoning, it is valid to conclude that the baseball which was a homerun was the hit that accomplished more work.

5 0
4 years ago
The rectangular plates in a parallel-plate capacitor are 0.063 m × 5.4 m. A distance of 3.5 × 10–5 m separates the plates. The p
djverab [1.8K]

Answer:

capacitance of the capacitor = 0.18 μ  F

Explanation:

Area of the plate A = 0.063 m x 5.4 m = 0.3402 m²

distance between the plate d = 3.5 × 10–5 m

dielectric value for Teflon K = 2.1

capacitance of capacitor = ?

Formula for capacitance of parallel plate is as follows ,

C= \frac{K\epsilon_0 A}{d} (Where \epsilon_0 = 8.82 \times 10^-12\ \frac{F}{m} )

putting the values in the equation,

C = \frac{2.1\times8.82\times10^-12\times0.3402 }{3.5\times10^-5} =0.18\times 10^-6 =0.18 μ  F

4 0
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An airplane is cruising at a speed of 250 m/s. If the airplanes engines provide a forward force of 19,540 N, calculate the force
ExtremeBDS [4]
250/300 dived by 500
3 0
3 years ago
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