Answer:
5.25 m
Explanation:
Given;
The height equation h;
h=-x^2+3x+3
Where;
h = the height above water
x = horizontal distance from the end of the board
The maximum height is at h' = 0, when change in h with respect to change in x is equal to zero.
differentiating the equation h.
dh/dx = h' = -2x + 3 = 0
Solving for x;
2x = 3
x = 3/2
Substituting into the function h;
h max = -x^2+3x+3
h max = -(3/2)^2 + 3(3/2) +3 = -9/4 +9/2 +3 = 9/4 + 3 =
h max = 21/4 = 5.25 m
Answer:
0.29 kg m² / s
Explanation:
Angular momentum is the product of moment of inertia and angular velocity.
L = I ω
For a solid cylinder, I = ½ m r².
L = ½ m r² ω
L = ½ (2.0 kg) (0.25 m)² (4.7 rad/s)
L = 0.29 kg m² / s
Answer:
a = -04978 m / s²
Explanation:
For this exercise we can use the kinematics equations, as the initial speed, distance and time indicate, we can use
x = x₀ + v₀ t + 1 /2 a t²
½ a t² = x-x₀ - v₀ t
a = (x-x₀ - v₀ t) 2 / t²
let's reduce the magnitudes to the SI system
x₀ = 1000 mm = 1 m
x = 5000mm = 5m
let's calculate
a = (5 - 1 - 15 60) 2/60²
a = -04978 m / s²
negative sign indicates that braking is related
Answer:
The balanced condition for Wheat stones bridge is
Q
P
=
S
R
as is obvious from the given values.
No, current flows through galvanometer is zero.
Now, P and R are in series, so
Resistance,R
1
=P+R
=10+15=25Ω
Similarly, Q and S are in series, so
Resistance R
2
=R+S
=20+30=50Ω
Net resistance of the network as R
1
and R
2
are in parallel
i=
R
V
=
50
6×3
=0.36 A.
Explanation:
