Answer:
295.42 N
Explanation:
From Newton's law of universal gravitation.
F = Gmm'/r².................. Equation 1
Where F = Gravitational force, G = Universal constant, m = mass of the human, m' = mass of mass, r = radius of mass.
Given: m = 80 kg, m' = 6.4×10²³ kg, r = 3.4×10⁶ m.
Constant: G = 6.67×10⁻¹¹ Nm²/Kg²
Substitute into equation 1
F = 6.67×10⁻¹¹(80)(6.4×10²³ )/( 3.4×10⁶)²
F = 3415.04×10¹²/(11.56×10¹²)
F = 3415.04/11.56
F = 295.42 N
Hence the gravitational force = 295.42 N
Answer:
0.69444 m, 0.08152 m, 0.32407 m, 0.03804 m
Explanation:
v = Velocity of sound
f = Frequency
Length of vocal tract is given by
At f = 270 Hz v = 750 m/s
At f = 2300 Hz v = 750 m/s
At f = 270 Hz v = 350 m/s
At f = 2300 Hz v = 350 m/s
Answer:
c.
=0 and 
Explanation:
We are given that two particles collide and stick together.
If there is no external force act on the two particles then ,it is inelastic collision.
Inelastic collision: There is some loss of kinetic energy but the momentum is conserved.
According to law of conservation of momentum
Initial momentum=Final momentum
Change in momentum=Final momentum-Initial momentum=0
Change in momentum=
Initial kinetic energy is greater than final kinetic energy.
Change in kinetic energy=Final kinetic energy-kinetic energy=- negative
Hence, option c is true.
c.=0 and
Answer:
ω = √(2T / (mL))
Explanation:
(a) Draw a free body diagram of the mass. There are two tension forces, one pulling down and left, the other pulling down and right.
The x-components of the tension forces cancel each other out, so the net force is in the y direction:
∑F = -2T sin θ, where θ is the angle from the horizontal.
For small angles, sin θ ≈ tan θ.
∑F = -2T tan θ
∑F = -2T (Δy / L)
(b) For a spring, the restoring force is F = -kx, and the frequency is ω = √(k/m). (This is derived by solving a second order differential equation.)
In this case, k = 2T/L, so the frequency is:
ω = √((2T/L) / m)
ω = √(2T / (mL))
Wildfires benefit grasslands, northern forests, and deciduous forests. Grasslands are benefited by improved soil quality and control of tree cover. Invertebrate species diversity is maintained through wildfire as well. Northern forests, like grasslands, experience increased production and nutritional quality of food as a result of wildfires. Deciduous forests experience an increase in the nutritional quality of food as well, but the effects are more temporary. The amount of shrubs in deciduous forests is reduced as a result of wildfires, allowing more herbaceous plants such as mosses and lichens to grow.
