Answer:
(a i - 2a j) / 2
Explanation:
a1 = a i
a2 = a j
a3 = - (i + j) (2a) = - 2a i - 2a j
a4 = (i - j) (3a) = 3a i - 3a j
Let the mass of each particle is m.
Use the formula of acceleration of centre of mass
a cm = (m1 a1 + m2 a2 + m3 a3 + m4 a4) / (m1 + m2 + m3 + m4)
a cm = (a i + aj - 2a i - 2a j + 3a i - 3a j) / 4
a cm = ( 2a i - 4a j) / 4
a cm = (a i - 2a j) / 2
Answer:
Explanation:
From the question we are told that
Mass of cart =20kg
Mass of block =5kg
Magnitude of acceleration M_a= 5 kg
Generally Force on the 20kg mass in the is mathematically given as
Generally Force on the 2kg in the mass is mathematically given as
Therefore
Answer:
A lone neutron spontaneously decays into a proton plus an electron.
Explanation:
In an atom, nuclei contain protons and neutrons, which are the fundamental particles of an atom. Neutrons are stable and uncharged particles inside a nucleus.
For 15 times during its lifetime, a free neutron decays and breaks down into more smaller particles.This breakdown causes problems in nuclear reactors, as they start decaying and emit radiations of different wavelengths.
A neutron undergoes the decaying process to produce an electron, a proton, and energy.
The reaction of neutron decay:
n0 → p+ + e− + νe
Answer:
The person is 187[m] farther and 70° south to east.
Explanation:
We can solve this problem by drawing a sketch of the location of the person and the truck, then we will draw the displacement vectors and finally the length of the vector and the direction of the vector will be measured in order to give the correct indication of where the person will have to move.
First we establish an origin of a coordinate system.
We can see in the attached schema that the red vector is the displacement vector from the last point to where the truck is located.
The length of the vector is 187 [m], and the direction is 70 degrees south to East.