Answer:
Mass = 52.63 kilograms
Explanation:
Given the following data;
Acceleration due to gravity = 3.8 m/s²
Weight = 200 N
To find mass;
Mathematically, the weight of a physical object is given by the formula;
Weight = mass * acceleration due to gravity
Substituting into the formula, we have;
200 = mass * 3.8
Mass = 200/3.8
Mass = 52.63 kg
F=-kx
so multiple the two numbers together and put a negative sign in front
F=-19.25
Answer:
the equation of motion is
Explanation:
Given that,
The weight attached to the spring is 24pounds
Acceleration due to gravity is 32ft/s²
Assume x is the string length, 4inches
convert the length inches to to feet = 4/12 = 1/3feet
From Hookes law , we calculate the spring constant k
k = W / x
k = 24 / (1/3)
k = 24 / 0.33
k = 72lb/ft
If the mass is displace from its equilibrium position by amount x
the differential equation is
Auxiliary equation is
Thus the solution is,
The mass is release from rest
x'(0) = 0
Therefore
x(t) = c₁ cos4 √6t
x(0) = -2inches
c₁ cos4 √6(0) = 2/12feet
c₁= 1/6feet
There fore, the equation of motion is
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Answer:
7.8x10-12N
Explanation:
We know that
Magnetic force = F = qVB
And
Also Kinetic energy K.E is
E = (1/2)mV²
So making v subject
V = √(2E / m)
And
E = KE = 2MeV
= 2 × 106 eV
= 2 × 106 × 1.6 × 10–19 J
= 3.2 × 10–13 J
And then
V= √2x3.2E-13/1.6E-27
1.9E7m/s
Given that
mass of proton = 1.6 × 10–27 kg,
Magnetic field strength B = 2.5 T.
So F= qBv sinစ
=
So F = 1.6 × 10–19 × 2.5 × 1.9 x10^7 x sin 90°
= 7.8 x 10^-12N
