Answer:
Explanation:
*visible near western horizon an hour aftersunset WAXING CRESCENT
*rises about the same time the sun sets FULLMOON
*visible near eastern horizon just before sun rises WANING CRESCENT
*occurs about 3 days before new moon WANING CRESCENT
*visible due south at midnite FULL MOON
*occurs 14 days after new moon FULL MOON
Answer:
2.405 m/s
Explanation:
Given that,
Mass of a women, m₁ = 60 kg
Mass of a ball, m₂ = 3.9 kg
Velocity of the ball, v₂ = 37 m/s
We need to find the velocity of the woman. It is a concept based on the conservation of linear momentum. Let v₁ is the velocity of the woman. So,
So, the velocity of the woman is 2.405 m/s.
Answer:
Δ = 84 Ω, = (40 ± 8) 10¹ Ω
Explanation:
The formula for parallel equivalent resistance is
1 / = ∑ 1 / Ri
In our case we use a resistance of each
R₁ = 500 ± 50 Ω
R₂ = 2000 ± 5%
This percentage equals
0.05 = ΔR₂ / R₂
ΔR₂ = 0.05 R₂
ΔR₂ = 0.05 2000 = 100 Ω
We write the resistance
R₂ = 2000 ± 100 Ω
We apply the initial formula
1 / = 1 / R₁ + 1 / R₂
1 / = 1/500 + 1/2000 = 0.0025
= 400 Ω
Let's look for the error (uncertainly) of Re
= R₁R₂ / (R₁ + R₂)
R’= R₁ + R₂
= R₁R₂ / R’
Let's look for the uncertainty of this equation
Δ / = ΔR₁ / R₁ + ΔR₂ / R₂ + ΔR’/ R’
The uncertainty of a sum is
ΔR’= ΔR₁ + ΔR₂
We substitute the values
Δ / 400 = 50/500 + 100/2000 + (50 +100) / (500 + 2000)
Δ / 400 = 0.1 + 0.05 + 0.06
Δ = 0.21 400
Δ = 84 Ω
Let's write the resistance value with the correct significant figures
= (40 ± 8) 10¹ Ω
Answer:
Work = 1167.54 J
Explanation:
The amount of non-conservative work here can be given by the difference in kinetic energy and the potential energy. From Law of conservation of energy, we can write that:
Gain in K.E = Loss in P.E + Work
(0.5)(m)(Vf² - Vi²) - mgh = Work
where,
m = mass of boy = 60 kg
Vf = Final Speed = 8.5 m/s
Vi = Initial Speed = 1.6 m/s
g = 9.8 m/s²
h = height drop = 1.57 m
Therefore,
(0.5)(60 kg)[(8.5 m/s)² - (1.6 m/s)²] - (60 kg)(9.8 m/s²)(1.57 m) = Work
Work = 2090.7 J - 923.16 J
Work = 1167.54 J
helpful to represent this motion?
A. stacking blocks to build a tower
B. freezing water in an ice cube tray
C. bouncing elastic balls off of each other and
the walls of a room
D. placing a closed, water-filled plastic bag in
the sun and watching condensation form
Answer:
Explanation:
We can solve for the final angular velocity of the system using the law of momentum conservation
Where is the moments of inertia of the disk before. is the moments of inertia of the disk after (if we treat the clay as a point particle). is the angular speed before.
So the final momentum of the system is 27.5 kgm2/s
Answer:
The final angular momentum is 35.75 kg.m²/s
Explanation:
Given;
mass of disk, M = 5 kg
radius of disk, R = 1 m
mass of clay, M = 3 kg
radius of clay, R = 0.5 m
final angular momentum, = 11 rad/s
Final angular momentum angular momentum of the disk that the clay lumped with;
where;
is the final moment of inertia
Final angular momentum of the disk;
=
= 3.25 x 11 = 35.75 kg.m²/s
Therefore, the final angular momentum is 35.75 kg.m²/s
Answer:
a) car does not skid, b) car skids, c) v = 11.07 m / s
Explanation:
a) When the car around in a curve all force must be exerted by friction, write Newton's second Law
Y axis (vertical)
N - W = 0
N = W = mg
X axis (radial
F = m a
The acceleration is centripetal
a = v² / r
fr = μ N
Let's calculate the maximum friction force
fr = μ m g
fr = 0.70 2000 9.8
fr = 13720 N
Let's calculate the force necessary to take the curve
F = m v² / r
F = 2000 11²/25
F = 9680 N
When examining these two values we see that the maximum value of the friction force is greater than the force to stay in the curve, for which the car does not skid
b) The speed of the driver is v = 18m / s, let's calculate the force to stay in the curve
F = 2000 18²/25
F = 25920 N
This force is greater than the maximum friction force, so it is a skating car
c) The friction coefficient decreases to μ = 0.5
fr = m a
μ mg = m v² / r
v = √μ g r
v = √(0.50 9.8 25)
v = 11.07 m / s
This is the maximum speed