The average acceleration of the particle in the time interval of 9.8 s is 10.204 m/s² opposite to the direction of motion.
Given:
Speed of particle, v₁ = 80 m/s (in positive x-direction)
Speed of particle, v₂ = -20 m/s (in opposite direction)
Time interval, Δt = 9.8 s
Calculation:
We know that, the average acceleration is given as:
a_avg = (v₂ - v₁)/ Δt - ( 1 )
Applying values in above equation we get:
a_avg = (v₂ - v₁)/ Δt
= (-20 m/s - 80 m/s) / (9.8 s)
= -10.204 m/s²
Therefore the average acceleration of the particle in the time interval Δt is 10.204 m/s² opposite to the direction of motion.
Learn more about average acceleration here:
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Answer:
When the termination is a terminal block, care must be taken to ensure a good electrical connection without damaging the conductor. Terminals should not be used for more than one
Explanation:
The Terminal block being a modular block, having insulated frame, which can secure more than two wires in it. It has a conducting strip in it. These terminal clocks helps in making the connection safer as well as organised. These terminal blocks are used for power distribution in safer way. Its potential is it can distribute power from single to multiple output. The conductor is used for making it proper contact.
Answer:
a) W = - 318.26 J, b) W = 0
, c) W = 318.275 J
, d) W = 318.275 J
, e) W = 0
Explanation:
The work is defined by
W = F .ds = F ds cos θ
Bold indicate vectors
We create a reference system where the x-axis is parallel to the ramp and the axis and perpendicular, in the attached we see a scheme of the forces
Let's use trigonometry to break down weight
sin θ = Wₓ / W
Wₓ = W sin 60
cos θ = Wy / W
Wy = W cos 60
X axis
How the body is going at constant speed
fr - Wₓ = 0
fr = mg sin 60
fr = 15 9.8 sin 60
fr = 127.31 N
Y Axis
N - Wy = 0
N = mg cos 60
N = 15 9.8 cos 60
N = 73.5 N
Let's calculate the different jobs
a) The work of the force of gravity is
W = mg L cos θ
Where the angles are between the weight and the displacement is
θ = 60 + 90 = 150
W = 15 9.8 2.50 cos 150
W = - 318.26 J
b) The work of the normal force
From Newton's equations
N = Wy = W cos 60
N = mg cos 60
W = N L cos 90
W = 0
c) The work of the friction force
W = fr L cos 0
W = 127.31 2.50
W = 318.275 J
d) as the body is going at constant speed the force of the tape is equal to the force of friction
W = F L cos 0
W = 127.31 2.50
W = 318.275 J
e) the net force
F ’= fr - Wx = 0
W = F ’L cos 0
W = 0
The angle of incidence, when there is perfect transmission is the polarization angle. The expression for the polarization is
Where
= Polarization angle
= Angle with the vertical axis
We have that the angle is
The ratio of the intensities depends on the cosine of the polarization angle. The polarization angle found from the wearer’s leaning angle can be used to find the fraction of the reflected ray intensity that will pass through the sunglasses.
Applying the Malus Law we have that
Here,
= Final intensity
= Initial intensity
Replacing we have,
Therefore the fraction of the reflected light intensity which passes through the sunglasses is 0.11
PV = 400 x 0.08 = 32 J
Hope this helps