Answer:
a) 482.5N
b) 17.4N
Explanation:
40 rev/min = 40 * 2π / 60 = 4.2 rad/s
3 rev/min = 3 * 2π / 60 = 0.314 rad/s
The centripetal acceleration that the child is subjected to

And their centripetal force is

From here we can plug the number in
(a) 
(b) 
My answer would be a bowling ball. The rule for inertia is
Mass is that quantity that is solely dependent upon the inertiaof an object. The more inertiathat an object has, the more mass that it has.
Given that rule, if the Bowling Ball, Hammer, Feather, and Tennis Ball were all the standard size, the answer would have to be the bowling ball. MEYBE
Answer: D - The electron will move in a counterclockwise circular path if viewed in the direction of the magnetic field.
Explanation:
When the electron enters the field at an angle to the field direction the resulting path of the electron will be helical. Such motion occurs above the poles of the Earth where charges particles from the Sun spiral through the Earth's field to produce the aurorae.
Magnetic force on an electron = BILsinØ = B[e/t][vt] = BevØ
where v is the electron velocity
In a magnetic field the force is always at right angles to the motion of the electron (Fleming's left hand rule) and so the resulting path of the electron is circular.
Answer:
8.756 rad/s²
Explanation:
Given that:
A motorcycle accelerates uniformly from rest, then initial velocity v_i = 0 m/s
It final velocity v_f = 24.8 m/s
time (t) = 9.87 s
radius (r) of each tire = 0.287 m
Firstly; the linear acceleration of the motor cycle is determined as follows:
=(V_f - v_i)/t
=(24.8-0)/9.87
=2.513 m/s²
Then; the magnitude of angular acceleration
α =
/r
=2.513/0.287
=8.756 rad/s²