we know that center of mass is given as
r = (m₁ + m₂ )/(m₁ + m₂)
taking derivative both side relative to "t"
dr/dt = (m₁ d/dt + m₂ d/dt)/(m₁ + m₂)
v = (m₁ + m₂ )/(m₁ + m₂)
taking derivative again relative to "t" both side
dv/dt = (m₁ d/dt + m₂ d/dt)/(m₁ + m₂)
a= (m₁ + m₂ )/(m₁ + m₂)
Answer:
Vomiting, dizziness, nausea
Answer:
The Western Hemisphere contained significantly higher amounts of shock-fractured quartz. This led Walter and Luis Alvarez to hypothesize that the asteroid impact site was in the Western Hemisphere.
Explanation:
Answer:
The mass of the earth is, M = 5.98 x 10²⁴ kg
Explanation:
Given data,
The acceleration due to gravity, g = 9.8 m/s²
The radius of Earth, R = 6400 km
=6.4 x 10⁶ m
The universal gravitational constant, G = 6.67 x 10 ⁻¹¹ Nm²kg⁻²
Using the equation,
<em>GM = gR²</em>
M = gR² / G
Substituting the values,
M = 9.8 x (6.4 x 10⁶)² / 6.67 x 10 ⁻¹¹
= 5.98 x 10²⁴ kg
Hence, the mass of the earth is, M = 5.98 x 10²⁴ kg
Answer:
Workdone = 20 Joules
Explanation:
Given the following data;
Force = 10N
Extension, e = 4cm to meters = 4/100 = 0.04 meters
Workdone extension = 40cm to meters = 40/100 = 0.4 meters
To find the work done;
First of all, we would find the spring constant using the formula;
Force = spring constant * extension
10 = spring constant * 0.04
Spring constant = 10/0.04
Spring constant = 250 N/m
Next, we find the work done;
Workdone = ½ke²
Where;
k is the spring constant.
e is the extension.
Substituting into the formula, we have;
Workdone = ½ * 250 * 0.4²
Workdone = 125 * 0.16
Workdone = 20 Joules