B
Weight is caused by the influence of gravity on matter/mass. Weight is given by the formulae;
Weight = Mass * Gravitational acceleration
On earth, the gravitation acceleration is a constant 10m/s2
Therefore the weight will be influenced by mass of the object in a direct relationship.
An increase in mass will cause a proportionate increase in weight.
Explanation:
Gravity is not constant across the universe with larger celestial bodies have a greater gravitational pull. Therefore an object with the same mass on earth may weigh differently on another celestial body with different gravitational acceleration. An example is the Moon. Due to the fact that the Moon has approximately ¹/3 of earth’s gravitational force, astronauts weight ¹/3 times less on the moon than on earth.
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Power is defined as the rate of doing work or the work per unit of time. The first step to solve this problem is by calculating the work which can be determined by the equation:
W = Fd
where:
F = force exerted = ma
d = distance traveled
m = mass of object
a = acceleration
Acceleration is equivalent to the gravitational constant (9.81 m/s^2) if the force exerted has a vertical direction such as lifting.
W = Fd = mad = 63(9.81)(7) = 4326.21 Joules
Now that we have work, we can calculate power.
P = W/t = 4325.21 J / 5 seconds = 865.242 J/s or watts
Convert watts to horsepower (1 hp = 745.7 watts)
P = 865.242 watts (1hp/745.7 watts) = 1.16 hp
Answer:
The final angular speed is 0.223 rad/s
Explanation:
By the conservation of angular moment:
ΔL=0
L₁=L₂
L₁ is the initial angular moment
L₂ is the final angular moment
L₁ is given by:

As the door is at rest its angular moment is zero and the angular moment of mud can be considered as a point object, then:

where
r is the distance from the support point to the axis of rotation (the mud hits at the center of the door; r=0.5 m)
v is the speed
m is the mass of the mud
L₂ is given by:

ωf is the final angular speed
The moment of inertia of the door can be considered as a rectangular plate:

M is the mass of the door
W is the width of the door
The moment of inertia of the mud is:

Hence,



Answer:
528.9 nm
Explanation:
For a grating dsinθ = mλ where m = order of grating, d = grating space, λ = wavelength of light and θ = angle of deflection of light
First, we find the grating space d = mλ/sinθ where m = 2 for second order, λ = 632.8 nm = 632.8 × 10⁻⁹ m, θ = 43.2°
d = mλ/sinθ = 2 × 632.8 × 10⁻⁹ m ÷ sin43.2° = 1.849 × 10⁻⁶ m = 1.849 μm
We now find the wavelength of the light to be measured from λ = dsinθ/m
Here, θ = 34.9° and m = 2 for second order. So, we have
λ = dsinθ/m = 1.849 × 10⁻⁶ m × sin34.9° ÷ 2 = 0.5289 × 10⁻⁶ m = 528.9 nm
The answer is B- a positive charge