Given that,
radius, r = 4.23 x 10∧7 m
Period, T = ?
Since, we know that,
In a geosynchronous satellite, period is equal to the period of earth that is 24 hrs.
Therefore, Time period is equal to 24 hours.
#1
Work done is given by

here we know that
F = 157 N
d = 14.5

now from the above formula

#2
By energy conservation
Initial total potential energy of egg = final total kinetic energy of egg




#3
By momentum conservation we know that




#4
by momentum conservation we know that

let direction of velocity of Jay Z car motion is positive direction
now we will say



Yes Jay Z is overspeeding as his speed is more than speed limit
#5
Tension force in the string will be centripetal force
so here we can say

here we know that
m = 0.63 kg
v = 7.8 m/s
R = 0.23 m


Answer:
Er = 108 [J]
Explanation:
To solve this problem we must understand that the total energy is 200 [J]. Of this energy 44 [J] are lost in sound and 48 [J] are lost in heat. In such a way that these energy values must be subtracted from the total of the kinetic energy.
200 - 44 - 48 = Er
Where:
Er = remaining energy [J]
Er = 108 [J]
Answer: F= 10⁻¹¹ N
Explanation:
We are given that a molecular motor moves in steps of 100 Å.
The energy change for ATP hydrolysis is –60 kJ•mol⁻¹
Now we have to find the maximum resistive force against which motor can move cargo.
So the force will be equal to the energy value divided by the distance in meters.
F=
= −6000000000
Ignoring the minus sign.
And for one molecule of ATP per step, the value is divided by Avogadro's number.
F= 
F= 10⁻¹¹ N
Answer:
0.002
Explanation:
The half-life of the radioactive nucleus is related to its quantity, by the following equation:

<u>Where:</u>
<em>N(t): is the quantity of the radioactive nucleus at time t</em>
<em>N₀: is the initial quantity of the radioactive nucleus</em>
<em>t: is the time = 4.5x10⁹ years</em>
<em>t(1/2): is the half-life of the radioactive nucleus = 5x10⁸ years</em>

Therefore, the fraction of the radioactive element in the rock today is 0.002.
I hope it helps you!