A 2.0 kg box is placed on an inclined plane that forms an angle of 21 ° with the horizontal

qaws [65]

The french revolution led to many deaths and impacted history because of the amount of life lost

8 0

2 years ago

What is the radius of a communications satellite’s orbital path that is in a uniform circular orbit around Earth and has a perio

pantera1 [17]

If the period of a satellite is T=24 h = 86400 s that means it is in geostationary orbit around Earth. That means that the force of gravity Fg and the centripetal force Fcp are equal:

Fg=Fcp

m*g=m*(v²/R),

where m is mass, v is the velocity of the satelite and R is the height of the satellite and g=G*(M/r²), where G=6.67*10^-11 m³ kg⁻¹ s⁻², M is the mass of the Earth and r is the distance from the satellite.

Masses cancel out and we have:

G*(M/r²)=v²/R, R=r so:

G*(M/r)=v²

r=G*(M/v²), since v=ωr it means v²=ω²r² and we plug it in,

r=G*(M/ω²r²),

r³=G*(M/ω²), ω=2π/T, it means ω²=4π²/T² and we plug that in:

r³=G*(M/(4π²/T²)), and finally we take the third root to get r:

r=∛{(G*M*T²)/(4π²)}=4.226*10^7 m= 42 260 km which is the height of a geostationary satellite.

3 0

2 years ago

What is mass?Explain

Alexxx [7]

Answer:

The term mass is used to refer to the amount of matter in any given object For instance, a person or object may be weightless on the moon because of the lack of gravity but that same person or object maintains the same mass regardless of location

Explanation:

8 0

2 years ago

The electric field between the plates of the cathode ray tube of an older television set can be as high as 2.5x104 N/C. Determin

pentagon [3]

Answer:

(a) $F = -4.01 * 10^{-15} N$

(b) $a = 4.40 * 10^{15} m/s^2$

Explanation:

Parameter given:

Electric field, E = $2.5 * 10^4 N/C$

(a) Electric force is given (in terms of electric field) as a product of electric charge and electric field.

Mathematically:

$F = qE$

Electric charge, q, of an electron = $- 1.602 * 10^{-19} C$

$F = -1.602 * 10^{-19} * 2.5 * 10^4\\\\\\F = -4.01 * 10^{-15} N$

(b) This electrostatic force causes the electron to accelerate with an equivalent force:

F = -ma

where m = mass of an electron

a = acceleration of electron

(Note: the force is negative cos the direction of the force is opposite the direction of the electron)

Therefore:

$-ma = -4.01 * 10^{-15} N\\\\\\a = \frac{-4.01 * 10^{-15}}{-m}$

Mass, m, of an electron = $9.11 * 10^{-31} kg$

=> $a = \frac{-4.01 * 10^{-15}}{-9.11 * 10^{-31}}\\\\\\a = 4.40 * 10^{15} m/s^2$

The acceleration of the electron is $4.40 * 10^{15} m/s^2$

5 0

2 years ago

Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are

Vikentia [17]

Answer:

Speed of faster train equals 29 mph

Explanation:

Let the speed of slower train be 'x' miles per hour and the speed of faster train be 'y' miles per hour.

Distance that slower train covers in 2 hours= $2\times x miles$

Distance that faster train covers in 2 hours= $2\times y miles$

Since they move at right angles the distance between them can be found by Pythagoras formula as

$d^{2}=(2x)^{2}+(2y)^{2}\\\\d^{2}=4(x^{2}+y^{2})\\(70.46)^{2}=4(x^{2}+y^{2})\\\\\therefore (x^{2}+y^{2})=\frac{(70.46)^{2}}{4}\\\\(x^{2}+y^{2})=\frac{4964.6}{4}\\\\(x^{2}+y^{2})=1241.15$

It is given that $y=x+9$

Using this in the above equation we get

$(x^{2}+y^{2})=1241.15\\\\x^{2}+(x+8)^{2}=1241.15\\2x^{2}+16x+64=1241.15\\2x^{2}+16x-1177.15=0$

This is a quadratic equation in 'x'

Comparing with standard quadratic equation $ax^{2}+bx+c$ we get value of x as

$(x^{2}+y^{2})=1241.15\\\\x^{2}+(x+8)^{2}=1241.15\\2x^{2}+16x+64=1241.15\\2x^{2}+16x-1177.15=0\\\\x=\frac{-16\pm \sqrt{(16)^{2}-4\times 2\times -1177.15}}{2\times 2}\\\\x=\frac{-16\pm 98.35}{4}\\\\x=20.58mph(\because speed\neq$

Thus speed of faster train = 28.58 mph

Speed of faster train = 19 mph

3 0

3 years ago

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