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olasank [31]
2 years ago
14

At an instant when a soccer ball is in contact with the foot of the player kicking it, the horizontal or x component of the ball

's acceleration is 890 m/s2 and the vertical or y component of its acceleration is 1100 m/s2. The ball's mass is 0.41 kg. What is the magnitude of the net force acting on the soccer ball at this instant
Physics
1 answer:
mixas84 [53]2 years ago
4 0

Answer:

580.13N

Explanation:

The magnitude of the net force is expressed using the expression

F = ma

m is the mass

a is the net acceleration

Given

Mass = 0.41kg

Get the net acceleration

a = √(ax)²+(ay)²

a = √890²+1100²

a = √792100+1210000

a = √2002100

a = 1414.96m/s²

Get the required net force acting on the ball

F = ma

F = 0.41×1414.96

F = 580.13N

Hence the net force acting on the soccer ball at this instant is 580.13N

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Answer:

(a) V = 0.75 m/s

(b) V = 0.125 m/s

Explanation:

The speed of the flow of the river can be given by following formula:

V = Q/A

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d = depth of river

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(a)

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w = 20 m

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Therefore,

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<u>V = 0.75 m/s</u>

<u></u>

(b)

Here,

Q = (300,000 L/s)(0.001 m³/1 L) = 300 m³/s

w = 60 m

d = 40 m

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V = (300 m³/s)/(60 m)(40 m)

<u>V = 0.125 m/s</u>

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A 2.0 µF capacitor is charged through a 50,000 ohm resistor. How long does it take for the capacitor to reach 90% of full charge
Nesterboy [21]

Answer:

0.23 s

Explanation:

First of all, let's find the time constant of the circuit:

\tau=RC

where

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C=2.0\mu F=2.0\cdot 10^{-6}F is the capacitance

Substituting,

\tau=(50,000 \Omega)(2.0\cdot 10^{-6}F)=0.1 s

The charge on a charging capacitor is given by

Q(t)=Q_0 (1-e^{-t/\tau} ) (1)

where

Q_0 is the full charge

we want to find the time t at which the capacitor reaches 90% of the full charge, so the time t at which

Q(t)=0.90 Q_0

Substituting this into eq.(1) we find

0.90 Q_0 = Q_0 (1-e^{-t/\tau})\\0.90=1-e^{-t/\tau}\\e^{-t/\tau}=1-0.90=0.10\\-\frac{t}{\tau}=ln(0.10)\\t=-\tau ln(0.10)=(0.1 s)ln(0.10)=0.23 s

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Situations in which it is difficult for an individual to decide, either because the right course of action is not clear or becau
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Answer:

ethical dilemmas or ethical paradox

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