Answer:
60,000m
Explanation:
Convert km/h to m/s by multiplying with 1000/3600.
Convert hours to seconds by multiplying with 3600.
Because displacement is a vector quantity and deals with the shortest distance between points, simply plug it into the equation s=vt.
Answer:
Explanation:
Let the potential difference between the plate is V . Then in the first case
Electric field E between plate
E₁ = V / d
where d is separation between plate
When the plate separation becomes d / 2
Electric field E between plate
E₂ = V / d /2
= 2 V / d =2E₁
Or twice the earlier field
Answer:

Explanation:
Given
Density = 3 starts in 10 cubic light years.
Required
Determine the probability of 1 or more in 10 cubic light years
Since the number of stars follow a Poisson distribution, we make use of:




T = the light years

Calculating 
In probability:

Calculating P(X=0)
Substitute 0 for k and the values for
and T in








Substitute 0.04979 for P(X=0) in 


--- approximated
<em>Hence, the required probability is 0.9502</em>
After one day, the rate of increase in Delta Cephei's brightness is;0.46
We are informed that the function has been used to model the brightness of the star known as Delta Cephei at time t, where t is expressed in days;
B(t)=4.0+3.5 sin(2πt/5.4)
Simply said, in order to determine the rate of increase, we must determine the derivative of the function that provides
B'(t)=(2π/5.4)×0.35 cos(2πt/5.4)
Currently, at t = 1, we have;
B'(1)=(2π/5.4)×0.35 cos(2π*1/5.4)
Now that the angle in the bracket is expressed in radians, we can use a radians calculator to determine its cosine, giving us the following results:
B'(1)=(2π/5.4)×0.3961
B'(1)≈0.46
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Answer:
Mu,k between the floor and the box is 0.609
Explanation:
given information:
weight of the book, W = 325 N
applied force, F = 425 N
angle, θ = 35.2°
to find the coefficient kinetic between the floor and the box, wee need to calculate the horizontal and vertical force.
first we calculate the vertical force, there are weight, normal force(N) and applied vertical force.
according to Newton's first law
ΣF = 0
Σ
= 0
W - N + F sin θ = 0
N = W + F sin θ
Next, we calculate the force in horizontal direction. applied force and friction force(
)
Σ
= 0
F cos θ -
= 0
F cos θ - μk (W - F sin θ) = 0
μk = (F cos θ) / (W + F sin θ)
= (425 cos 35.2°)/(325+425 sin 35.2°)
= 0.609