Answer:
y = 3.16 m
Explanation:
Once thrown straight up, the only influence on the ball is gravity, which acts slowing down the ball.
In absence of gravity, the ball had moved forever with the same initial velocity, so the displacement at a time t had been as follows:
y = v₀*t
Due to the action of gravity, the actual displacement is less than this value, and can be calculated with the following equation:
Replacing by v₀ = 12. 0 m/s, t = 0.300 s, and g = 9.8 m/s², we can solve for the vertical displacement, as follows:
So, the position (taking the origin coincident with the point where the ball leaves the hand), is just the vertical displacement we have just found.
⇒ y = 3.16 m
Answer:
the acceleration of harry is equal to 66.126 m/s²
Explanation:
given,
harry is 35 m behind Draco
speed of Draco = 40 m/s
original speed of harry = 50 m/s
acceleration = ?
time taken by the Draco
t =
t = 1.875 s
distance covered by Harry
d = 35 + 175 = 210 m
to calculate the acceleration of harry
a × 3.516 × 0.5 = 116.25
a = 66.126 m/s²
hence, the acceleration of harry is equal to 66.126 m/s²
Answer:
Current, I = 0.0011 A
Explanation:
It is given that,
Diameter of rod, d = 2.56 cm
Radius of rod, r = 1.28 cm = 0.0128 m
The resistivity of the pure silicon,
Length of rod, l = 20 cm = 0.2 m
Voltage,
The resistivity of the rod is given by :
R = 893692.30 ohms
Current flowing in the rod is calculated using Ohm's law as :
V = I R
I = 0.0011 A
So, the current flowing in the rod is 0.0011 A. Hence, this is the required solution.
Answer:
10.87 m
Explanation:
Total length of the wire = 25 m
Let the length of one piece is y and other piece is 25 - y
Let the side of square is a.
So, 4 a = y
a = y / 4
And the side of triangle is b
3 b = (25 - y)
b = (25 - y) / 3
Area of square, A1 = side x side =
A1 = y² / 16
Area of equilateral triangle, A2 =
Total area, A = A1 + A2
For maxima and minima, fins dA /dy
It is equal to zero.
9y = 173.2 -6.928 y
15.928 y = 173.2
y = 10.87 m
So, the length of wire to make square is 10.87 m.