Answer:
9.03 x 10³ m /s
Explanation:
magnetic field inside a solenoid
B = μ₀ n I , where μ₀ = 4π X 10⁻⁷ .
n is no of turns per unit length and I is current
so B₁ = 4π x10⁻⁷x 593 / 20.9 x 5.65 x 10²
201.5 x 10⁻⁴ T
B₂ = 4π x 10⁻⁷ x 343 / 19.1 x 1.37 x 10²
= 30.93 x 10⁻⁴ T
Net magnetc field
B₁ -B₂ = B = (201.5 - 30.93) x 10⁻⁴ T
B = 170.57 x 10⁻⁴ T
Now protons move in circular path of radius R in the magnetic field of B
B q v = m v² / R
v = B q R / m
= 170 .57 x 10⁻⁴ x 1.6 x 10⁻¹⁹ x 5.53 x 10⁻³ / (1.67 x 10⁻²⁷)
= 903.71 x 10
= 9.03 x 10³ m /s
=
To calculate the acceleration of the wooden block, we use the expression F=ma where F is the force applied, m is the mass of the object and a is the acceleration. We calculate as follows:
F = ma
4.9 = 0.5a
a = 9.8
Hope this answers the question. Have a nice day.
Speed of any freely falling object is always same. Provided, both are left to fall from the same height. If you perform this experiment in a perfect vacuum or near vacuum laboratory, both of them will reach ground with same velocity this is because there is no resistance to their motion. This is always true no matter where you go and perform this experiment.
It can be easily proved from conservation of mechanical energy. Why conserving energy? because there are no forces acting on the freely falling objects other than conservative force(mg).