Answer:
400 N
Explanation:
Due to action-Reaction, the wall pushes back on the person with a force of equal magnitude and in opposite direction to the force exerted by the person.
So the magnitude must be also 400 N.
The sample's density with respect to the volume it displaces is equal to: C. 0. 60 g/mL
<u>Given the following data:</u>
To calculate the sample's density:
First of all, we would determine the volume displaced by the sample;

Volume displaced = 3 mL
Density can be defined as mass all over the volume of an object. Thus, density is mass per unit volume of an object.
Mathematically, the density of a substance is given by the formula;

Substituting the given parameters into the formula, we have;

Density = 0.60 g/mL
Read more: brainly.com/question/18320053
Answer:
F = 2.668*10_-6[N]
Explanation:
We can calculate this force using the law of universal gravitation raised by Isaac Newton
![m_{t}=20000[kg]\\m_{c}= 200[kg]\\r = 10[m]\\G = 6.67*10^{-11}[\frac{N*m^{2} }{kg} ] \\](https://tex.z-dn.net/?f=m_%7Bt%7D%3D20000%5Bkg%5D%5C%5Cm_%7Bc%7D%3D%20200%5Bkg%5D%5C%5Cr%20%3D%2010%5Bm%5D%5C%5CG%20%3D%206.67%2A10%5E%7B-11%7D%5B%5Cfrac%7BN%2Am%5E%7B2%7D%20%7D%7Bkg%7D%20%5D%20%5C%5C)
And the force is given by the following expression:
![F=G*\frac{m_{t}*m_{c}}{r^{2} } \\F=6.67*10^{-11} *\frac{20000*200}{10^{2} }\\F=2.668*10^{-6} [N]](https://tex.z-dn.net/?f=F%3DG%2A%5Cfrac%7Bm_%7Bt%7D%2Am_%7Bc%7D%7D%7Br%5E%7B2%7D%20%7D%20%5C%5CF%3D6.67%2A10%5E%7B-11%7D%20%2A%5Cfrac%7B20000%2A200%7D%7B10%5E%7B2%7D%20%7D%5C%5CF%3D2.668%2A10%5E%7B-6%7D%20%5BN%5D)
Answer:
The question is not complete. see the complete question in the explanation section. The correct option is highlighted in bold
Explanation:
(a)A resistor and a capacitor are connected in series across an ideal battery having a constant voltage across its terminals. At the moment contact is made with the battery, the voltage across the resistor is
I. greater than the battery's terminal voltage.
II. equal to the battery's terminal voltage.
III. less than the battery's terminal voltage, but greater than zero.
IV. zero.
<em>Option (i) is not correct as the voltage across the resistor cannot be greater than the terminal voltage since the current is yet to flow through the resistor. Option (ii) is correct as both the resistor voltage and the terminal voltage will just equal at the instance of connection. Option (ii) can only be possible after the current must have passed through the resistor for a while not immediately after contact. Option (iv) is not correct, as this can only be possible is the contact is open.
</em>
(b)A resistor and a capacitor are connected in series across an ideal battery having a constant voltage across its terminals. At the moment contact is made with the battery the voltage across the capacitor is
I. greater than the battery's terminal voltage.
II. equal to the battery's terminal voltage.
III. less than the battery's terminal voltage, but greater than zero.
IV. zero.
<em>Option (i) is not correct as the capacitor is yet to charge talk less of the its voltage exceeding that of the battery. Option (ii) can only be correct if the capacitor is fully charged not when it has just been connected. Option (iii) can only occur if the capacitor is discharging. Option (iv) is the correct answer as the capacitor is about to start charging
</em>
Answer:
She must be launched with a speed of 74.2 m/s.
Explanation:
Hi there!
The equations of the horizontal component of the position vector and the vertical component of the velocity vector are the following:
x = v0 · t · cos θ
vy = v0 · sin θ + g · t
x = horizontal distance traveled at time t.
v0 = initial velocity.
t = time.
θ = launching angle.
vy = vertical component of the velocity vector at time t.
g = acceleration due to gravity (-9.8 m/s²).
To just cross the 520-m gap, the maximum height of the flight must be reached halfway of the gap at 260 m horizontally (see attached figure).
When she is at the maximum height, her vertical velocity is zero. So, when x = 260 m, vy = 0. Using both equations we can solve the system for v0:
x = v0 · t · cos θ
Solving for v0:
v0 = x/ (t · cos θ)
Replacing v0 in the second equation:
vy = v0 · sin θ + g · t
0 = x/(t·cos(56°)) · sin(56°) + g · t
0 = 260 m · tan (56°) / t - 9.8 m/s² · t
9.8 m/s² · t = 260 m · tan (56°) / t
t² = 260 m · tan (56°) / 9.8 m/s²
t = 6.27 s
Now, let's calculate v0:
v0 = x/ (t · cos θ)
v0 = 260 m / (6.27 s · cos(56°))
v0 = 74.2 m/s
She must be launched with a speed of 74.2 m/s.