Answer:
3.4 x 10⁴ m/s
Explanation:
Consider the circular motion of the electron
B = magnetic field = 80 x 10⁻⁶ T
m = mass of electron = 9.1 x 10⁻³¹ kg
v = radial speed
r = radius of circular path = 2 mm = 0.002 m
q = magnitude of charge on electron = 1.6 x 10⁻¹⁹ C
For the circular motion of electron
qBr = mv
(1.6 x 10⁻¹⁹) (80 x 10⁻⁶) (0.002) = (9.1 x 10⁻³¹) v
v = 2.8 x 10⁴ m/s
Consider the linear motion of the electron :
v' = linear speed
x = horizontal distance traveled = 9 mm = 0.009 m
t = time taken = = = 4.5 x 10⁻⁷ sec
using the equation
x = v' t
0.009 = v' (4.5 x 10⁻⁷)
v' = 20000 m/s
v' = 2 x 10⁴ m/s
Speed is given as
V = sqrt(v² + v'²)
V = sqrt((2.8 x 10⁴)² + (2 x 10⁴)²)
v = 3.4 x 10⁴ m/s
Use equation of motion:
Given: (I converted everything to meters and seconds because of acceleration in your question)
Initial velocity (u) = 600km/h = 166.6667 m/s
Final velocity (v) = 1100 km/h = 305.5556 m/s
Acceleration (a) = 10km/h every second=2.7778 m/s^2
Formula: V=U+at
305.5556=166.6667+2.7778t
2.7778t =305.5556-166.667
t = (305.5556-166.667) / (2.778) = 49.9959
time it will take to reach sound barrier = 49.9959 seconds
You can round off your answer as you wish.
Answer:
Mass of ball = 3.0102 Kg.
Explanation:
Potential energy at height h is given by
PE = mgh
where m is the mass of the body
g is the the acceleration due to gravity whose value is 9.8 m/s^2
h is the height from surface level
PE is potential energy
In the problem given h = 2 meters
PE = 59 joules
59 = m*9.8*2
=> m = 59/9.8*2 = 3.0102 Kg
Thus, mass of ball is 3.0102 Kg.
protons are positive so you just need to count the circles that have a + on them, there are 3
Answer to the fourth one is :
7.7mph
explanation: the total distance covered by the runner(26.2mile) divide by the total time required to finish the race
answer to the 5th one:
49.6mi/h (approximately 50mi/h)
explanation: total distance divide by total time