Answer:
r = 0.0414mm
F = 757,692.3Hertz
Explanation:
If the body enters space with uniform magnetic field B, the force experienced by the object is expressed as
F = qvBsintheta... 1
Also, if the body undergoes a circular motion, the force experienced by the body in a circular path is given as
Fc = mv²/r... 2
Equating both forces
F = Fc
qvBsin theta = mv²/r
Since the body enters perpendicular to the field, theta = 90°
The equality becomes;
qvB sin90° = mv²/r
qvB = mv²/r
qB = mv/r
r = mv/qB
Given mass of the electron m = 9.11×10^-31kg
Velocity of the object v = 197m/s
Charge on the electron q = 1.6×10^-19C
Magnetic field B = 2.71×10^-5T
Substituting this value into the equation to get the radius r we have;
r = 9.11×10^-31 × 197/1.6×10^-19 × 2.71×10^-5
r = 1794.67×19^-31/4.336×10^-24
r = 413.89×10^-7
r = 0.0000414m
r = 0.0414mm
b) Frequency of the motion F = w/2π where w is the angular velocity
Since w = v/r
F = (v/r)/2π
F = v/2πr
F = 197/2π(0.0000414)
F = 757,692.3Hertz
Answer:
3.28 m/s
Explanation:
From the question,
Applying newtons ,
F = mv²/r........................ Equation 1
Where m = mass of the rock, v = speed, r = radius of the circle, F = Centriputal force.
But,
Centriputal force is equal to the weight of the rock
F = mg................. Equation 2
Equate equation 2 into equation 1
mg = mv²/r
Therefore,
v = √gr...................... Equaion 3
Given: r = 2.2/2 = 1.1 m
Constant: g = 9.8 m/s²
Substitute into equation 3
v = √(9.8×1.1)
v = √(10.78)
v = 3.28 m/s
Hence the minimum speed is 3.28 m/s
C is the best answer choice
Answer:
Explanation:
The equation or formula for velocity is similar to speed. To figure out velocity, you divide the distance by the time it takes to travel that same distance, then you add your direction to it.
Answer:
The toy must calculate the person's speed/velocity
Explanation:
Since the school toy given to Henry can be used to tell how fast someone is moving, the toy must be able to calculate the person's speed/velocity using the <u>average distance</u> covered by the person divided by <u>time taken</u> to cover the distance; average distance ÷ time taken.
The toy must be able to determine the parameters (average distance and time taken) in order to be able to calculate the person's speed/velocity