F = force applied to stop the car = - 3000 N
m = mass of the car = 3000 kg
a = acceleration of the car = ?
v₀ = initial velocity of the car before the force is applied to stop it = 10 m/s
v = final velocity of the car when it comes to stop = 0 m/s
d = stopping distance of the car
acceleration of the car is given as
a = F/m
inserting the values
a = - 3000/3000
a = - 1 m/s²
using the kinematics equation
v² = v²₀ + 2 a d
inserting the values
0² = 10² + 2 (-1) d
0 = 100 - 2 d
2 d = 100
d = 100/2
d = 50 m
hence the correct choice is
C. 50 m
(a) The speeds of the tips of both rotors; main rotor <u>178.3 m/s</u> and tail rotor <u>218.4 m/s</u>.
(b) The speed of the main rotor is <u>0.52</u> speed of sound, and the speed of the tail rotor is <u>0.64</u> speed of sound.
<h3>Linear speed of main motor and tail rotor</h3>
v = ωr
where;
- ω is the angular speed (rad/s)
- r is radius (m)
v(main rotor) = (444 rev/min x 2π rad x 1 min/60s) x (0.5 x 7.67 m)
v(main rotor) = 178.3 m/s
v(tail rotor) = (4,130 rev/min x 2π rad x 1 min/60s) x (0.5 x 1.01 m)
v(tail rotor) = 218.4 m/s
<h3>Speed of the rotors with respect to speed of sound</h3>
% speed (main motor) = 178.3/343 = 0.52 = 52 %
% speed (tail motor) = 218.4/343 = 0.64 = 64 %
Thus, the speed of the main rotor is 0.52 speed of sound, and the speed of the tail rotor is 0.64 speed of sound.
Learn more about linear speed here: brainly.com/question/15154527
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Answer:
(a) 5.056 x 10^-14 N
(b) 5.056 x 10^-14 N
Explanation:
X component of velocity of electron is 1.6 × 10^6 m/s
Y component of velocity of electron is 2.4 × 10^6 m/s
X component of magnetic field is 0.025 T
Y component of magnetic field is -0.16 T
charge on electron, q = - 1.6 x 10^-19 C
Write the velocity and magnetic field in the vector forms.


The force on the charge particle when it is moving in the magnetic field is given by

(a) Force on electron is given by


Magnitude of force is 5.056 x 10^-14 N.
(b) Force on a proton is given by


Magnitude of force is 5.056 x 10^-14 N.
Thus, the magnitude of force remains same but the direction of force is opposite to each other.
Explanation: