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olga55 [171]
2 years ago
13

A particle on a spring moves in simple harmonic motion along the x axis between turning points at x1 = 95 cm and x2 = 135 cm. (i

) At which of the following positions does the particle have maximum speed? 95 cm 105 cm 115 cm at none of those positions (ii) At which position does it have maximum acceleration? 95 cm 105 cm 115 cm at none of those positions (iii) At which position is the greatest net force exerted on the particle? 95 cm 105 cm 115 cm at none of those positions
Physics
1 answer:
uranmaximum [27]2 years ago
8 0

Answer:

(i) x = 115\,cm, (ii) x = 95\,cm, (iii) x = 95\,cm

Explanation:

(i) x_{1} and x_{2} represent the points where particle has a velocity of zero and spring reach maximum deformation, Given the absence of non-conservative force and by the Principle of Energy Conservation, the position where particle is at maximum speed is average of both extreme positions:

x = 115\,cm

(ii) Maximum accelerations is reached at x_{1} and x_{2}.

x = 95\,cm

(iii) Greatest net forces exerted on the particle are reached at  x_{1} and x_{2}.

x = 95\,cm

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The two will fall at the same speed and reach the surface at the same time. This is because the two will experience the same gravitational acceleration on the moon. However, on the earth surface the two will land on the surface of the earth at the same time due to air resistance such that the egg will experience a higher air resistance than the hammer. On, the moon, where there is no noticeable atmosphere there is no air resistance on either object and both fall at the same speed. It is also important to note that their mass doesn't affect their speed.
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3 years ago
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Which of Galileo’s discoveries were later used in Newton’s laws?
Mrrafil [7]

Answer:

a moving object will keep moving if not stopped

the sun being at the center of the solar system

Explanation:

Galileo is known for being the first person make a telescope, there fore being the first person to see that the sun is in the center of the solar system. he also came up with the theory that if something is pushed, it would keep moving until stopped by another force. For example, say you drop your pencil, it keeps falling until it hits the ground. That is exactly what Galileo did in his  Leaning Tower of Pisa experiment and found that theory to be true.

5 0
2 years ago
Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period of 3.87 Earth years in its
dolphi86 [110]

Answer: 4.487(10)^{11}m

Explanation:

This problem can be solved using the Third Kepler’s Law of Planetary motion:

<em>“The square of the orbital period of a planet is proportional to the cube of the semi-major axis (size) of its orbit”.  </em>

<em />

This law states a relation between the orbital period T of a body (the exoplanet in this case) orbiting a greater body in space (the star in this case) with the size a of its orbit:

T^{2}=\frac{4\pi^{2}}{GM}a^{3} (1)  

Where:

T=3.87Earth-years=122044320s is the period of the orbit of the exoplanet (considering 1Earth-year=365days)

G is the Gravitational Constant and its value is 6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}  

M=3.59(10)^{30}kg is the mass of the star

a is orbital radius of the orbit the exoplanet describes around its star.

Now, if we want to find the radius, we have to rewrite (1) as:

a=\sqrt[3]{\frac{T^{2}GM}{4\pi^{2}}} (2)  

a=\sqrt[3]{\frac{(122044320s)^{2}(6.674(10)^{-11}\frac{m^{3}}{kgs^{2}})(3.59(10)^{30}kg)}{4\pi^{2}}} (3)  

Finally:

a=4.487(10)^{11}m This is the radius of the exoplanet's orbit

3 0
2 years ago
A girl on a motorbike passes by at a speed of 15 m/ sec. her mass is 40 kg. what is her kinetic energy
garik1379 [7]
KE = 1/2 * m* v^2
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hope it helped


8 0
3 years ago
Suppose the posted designated speed for a highway ramp is to be 30 mph and the radius of the curve is 700 ft. At what angle must
Basile [38]

Answer:

4.92°

Explanation:

The banking angle θ = tan⁻¹(v²/rg) where v = designated speed of ramp = 30 mph = 30 × 1609 m/3600 s = 13.41 m/s, r = radius of curve = 700 ft = 700 × 0.3048 m = 213.36 m and g = acceleration due to gravity = 9.8 m/s²

Substituting the variables into the equation, we have

θ = tan⁻¹(v²/rg)

= tan⁻¹((13.41 m/s)²/[213.36 m × 9.8 m/s²])

= tan⁻¹((179.8281 m²/s)²/[2090.928 m²/s²])

= tan⁻¹(0.086)

= 4.92°

4 0
3 years ago
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