Answer:
A. 181.24 N
Explanation:
The magnitude of hte electrostatic force between two charged objects is given by the equation
where
k is the Coulomb's constant
q1, q2 are the magnitudes of the two charges
r is the separation between the charges
In this problem, we have:
is the magnitude of the 1st charge
is the magnitude of the 2nd charge
r = 2.5 cm = 0.025 m is the separation between the charges
Therefore, the magnitude of the electric force is:
So, the closest answer is
A) 181.24 N
To calculate the initial velocity of the bike, we use the following equation
.
or
Here, u is initial velocity, v is final velocity, t is the time and d is the distance covered by bike.
Given, , and .
Substituting these values in above equation, we get
.
Thus, the initial velocity of the bike is 1.2 m/s.
A. Coming out near the South Pole and going in near the North Pole
Answer:
16.4287
Explanation:
The force and displacement are related by Hooke's law:
F = kΔx
The period of oscillation of a spring/mass system is:
T = 2π√(m/k)
First, find the value of k:
F = kΔx
78 N = k (98 m)
k = 0.796 N/m
Next, find the mass of the unknown weight.
F = kΔx
m (9.8 m/s²) = (0.796 N/m) (67 m)
m = 5.44 kg
Finally, find the period.
T = 2π√(m/k)
T = 2π√(5.44 kg / 0.796 N/m)
T = 16.4287 s
Answer:
73.72
Explanation:
For this subtraction problem, the answer or solution is expressed to the least precise of the numbers we are trying to subtract.
The least precise number is the number with the lowest significant numbers:
105.4 - 31.681
105.4 has 4 significant numbers
31.681 has 5 significant numbers
So;
105.4
- 31.681
------------------
73.719
----------------
The solution is therefore 73.72