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Eddi Din [679]
3 years ago
12

The 6 kg block is then released and accelerates

Physics
1 answer:
erica [24]3 years ago
8 0

Answer:

5.709 m/s

Explanation:

Assuming compression of spring as 0.6m and spring constant of 602 N/m

The initial energy stored in the spring will be given by \frac {kx^{2}}{2}

By substitution, the initial energy is \frac {602\times0.6^{2}}{2}=108.36 J

Kinetic energy of the 6 Kg block is given by subtracting energy lost due to friction from the initial stored energy hence

\frac {mv^{2}}{2}=108.36-\mu_k mgx where m is mass, v is speed, g is acceleration due to gravity, x is the spring compression and \mu_x is the coefficient of friction

Making v the subject then  

v^{2}=\frac {2(108.36-\mu mgx)}{m}

v=\sqrt{\frac {2(108.36-\mu_x mgx)}{m}}= \sqrt {\frac {2(108.36-(0.3\times 6\times 9.8\times 0.6))}{6}}\approx 5.709 m/s

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4 years ago
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A spring with a spring constant of 120 J/m2 is fixed to a wall, free to oscillate. On the other end, a ball with a mass of 1500
Neporo4naja [7]

Answer:

A. 4.47 m/s

Explanation:

As the ball oscillates, it mechanical energy, aka the total kinetic and elastics energy stays the same. For the ball to be at maximum speed, its elastic energy i 0 and vice versa. When the ball is at rest, its kinetic energy is 0 and its elastic energy is at maximum at 50 cm, or 0.5 m

1500 g = 1.5 kg

E_e = E_k

kx^2/2 = mv^2/2

120*0.5^2/2 = 1.5*v^2/2

15 = 0.75v^2

v^2 = 15 / 0.75 = 20

v = \sqrt{20} = 4.47 m/s

5 0
4 years ago
1. A piece of metal weighs 50.0 N in air, 36.0 N in water, and 41.0 N in an unknown
denis23 [38]

Answer:

a) 3.37 x 10^{3} kg/m^3

b) 6.42kg/m^{3}

Explanation:

a) Firstly we would calculate the volume of the metal using it`s weight in air and water , after finding the weight we would find the density .

Weight of metal in air = 50N = mg implies the mass of metal is 5kg.

Now the difference of weight of the metal in air and water = upthrust acting on it = volume (metal) p (liquid) g = V (1000)(10) = 14N. So volume of metal piece = 14 x 10^{-4}  kg/m^{3}. So density of metal = mass of metal / volume of metal = 5 / 14 x 10^{-4}  kg/m^{3} = 3.37 x 10^{3} kg/m^3

b) Water exerts a buoyant force to the metal which is 50−36 = 14N, which equals the weight of water displaced. The mass of water displaced is 14/10 = 1.4kg Since the density of water is 1kg/L, the volume displaced is 1.4L. Hence, we end up with 3.57kg/l. Moreover, the unknown liquid exerts a buoyant force of 9N. So the density of this liquid is 6.42kg/m^{3}

3 0
3 years ago
Suppose each object emitted a burst of light right now.Rank the objects from left to right based on the amount of time itwould t
Wittaler [7]

Answer:

the order of arrival is from highest to lowest

star other side of Andromeda> star near side of andromeda> other side of milky way   > center of the milky way> nevulosa orion> Pluto> Sum

Explanation:

The light that comes from stars and galaxies travels in a vacuum so its speed is constant and with a value of c = 3 108 m / s, so time will be directly proportional to the distance to the object

             x = c t

the order of arrival is from highest to lowest

star other side of Andromeda> star near side of andromeda> other side of milky way   > center of the milky way> nevulosa orion> Pluto> Sum

4 0
3 years ago
A migrating bird can travel at a speed of 30 m/s. How far will it travel in 25 minutes at this speed? Give your answer in metres
Nady [450]

Answer:

It will travel 45 km (45000 m)

Explanation:

25 minutes is equal to 1500 seconds (25*60=1500)

distance=speed*time

distance=30m/s * 1500s = 45000 m = 45 km

7 0
2 years ago
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