Answer:
a) v_{p} = 2.83 m / s
, b) 50.5º north east
Explanation:
This is a vector problem.
The speed of the ball with respect to the ground is the speed of the ball with respect to Mia plus the speed of Mia with respect to the ground
To make the sum we decompose the speed of the ball in its components
The angle of 30 east of the south, measured from the positive side of the x axis is
θ = 30 + 270 = 300
= 
cos 300
= v_{b} sin. 300
v_{bx} = 3.60 cos 300 = 1.8 m / s
v_{by} = 3.60 sin 300 = -3,118 m / s
Let's add speeds on each axis
X axis
vₓ = v_{bx}
vₓ = 1.8 m / s
Y Axis
= v1 - vpy
v_{y} = 5.30 - 3.118
v_{y} = 2.182 m / s
The magnitude of the velocity can be found using the Pythagorean theorem
= √ (vₓ² + v_{y}²)
v_{p} = √ (1.8² + 2.182²)
v_{p} = 2,829 m / s
v_{p} = 2.83 m / s
b) for direction use trigonometry
tan θ = / vₓ
θ = tan ⁺¹ v_{y} / vₓ
θ = tan⁻¹ 2.182 / 1.8
Tea = 50.48º
This address is 50.5º north east
V = 0.9375 m3 is minimum volume .
<h3>What is density ?</h3>
- We use the word "density" to indicate how much space (or "volume") an object or substance occupies in relation to the amount of matter contained therein (its mass).
- Density can also be defined as the quantity of mass per unit of volume. A dense object is one that is both hefty and small.
Given,
1000 kg/m3 = density of water
920 kg/m3 = density of ice
BF = Woman Weight + Slab Weight
Pvg = 75 + Pvg
V = 75 kg / (1000 - 920)
V = 75 / 80
V = 0.9375 m3
Therefore, V = 0.9375 m3 is minimum volume .
Learn more about density
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Answer:
The answer to your question is
a) t = 2.55 s
b) t = 5.5 s
Explanation:
Data
vo = 25 m/s
h = 2 m
g = 9.81 m/s
Formula
t = -(vo)/g
a)
t = -(25)/9.81
t = 2.55 s
b)
Tt = 2t
Tt = 2(2.55)
Tt = 5.1 s
Time in the last 10 m
10 = 25t + (1/2)(9.81)t²
Simplify
10 = 25t 4.91t²
4.9t² + 25t - 10 = 0
Solve the equation using an online calculator
t₁ = 0.37 s t₂ = -5.47 s
The correct answer is t₁, t₂ is incorrect because there are no negative answers.
Total time = 5.1 + 0.37
= 5.5 s
First we should convert 14.4 km into meters using the conversion factor 1km = 1000m; thus, 14.4 km = 14,400 m. Next, we should convert all minutes into seconds <span>using the conversion factor 1 min = 60 seconds; thus, 40 mins = 2400 seconds while 20 minutes = 1200 seconds.
Speed = distance over time
Amy's speed = 14400 m / 2400 sec = 6m/s
Bill's time is 1200 sec + Amy's which is 2400 sec
Bill's speed = 14400m / 3600 sec = 4 m/s
Therefore, Amy is faster than Bill with 2 m/s difference.</span>
Answer:
<h2>
16,931 turns</h2>
Explanation:
The magnetic field produced is expressed using the formula
B is the magnetic field = 0.30T
I is the current produced in the coil = 4.5A
is the magnetic permittivity in vacuum = 1.26*10^-6Tm/A
L is the length of the solenoid = 32 cm = 0.32 m
N is the number of turns in the solenoid.
Making N the subject of the formula from the equation above;
Substituting the give values to get N;
The number of turns the solenoid must have is approximately 16,931 turns
