Answer:
j
Explanation:
x = 4 t^2 - 2 t - 4.5
Position at t = 3 s
x = 4 (3)^2 - 2 (3) - 4.5 = 25.5 m
Velocity at t = 3 s
v = dx / dt = 8 t - 2
v ( t = 3 s) = 8 x 3 - 2 = 22 m/s
Acceleration at t = 3 s
a = dv / dt = 8
a ( t = 3 s ) = 8 m/s^2
When is the velocity = 0
v = 0
8 t - 2 = 0
t = 0.25 second
When is the position = 0
x = 0
4 t^2 - 2 t - 4.5 = 0
t = 1.4 second
Answer:
a) p = 25.8 10⁻¹² C m
, b) The direction of the dipole moment is directed from the negative to the positive charge, c) E = 4.65 10² N/C
Explanation:
a) The dipole moment is
p = 2qa
p = 2 4.30 10⁻⁹ 3.00 10⁻³
p = 25.8 10⁻¹² C m
b) The direction of the dipole moment is directed from the negative to the positive charge, that is, in the opposite direction to the electric field.
c) The torque is
τ = p x E
τ = p E sin θ
E = τ / p sin θ
E = 7.20 10⁻⁹ /(25.8 10⁻¹² sin 36.9)
E = 4.65 10² N/C
We calculate
τ = 15.49 10⁻¹² 4.7 10²
τ = 7.28 10⁻⁹ N m
Answer:
Explanation:
The momentum of an object is given by .
Plugging in values, we have:
.
Answer:
l = 0.548 m
Explanation:
For this exercise we compensate by finding the speed of the car
p = m v
v = p / m
v = 0.58 / 0.2
v = 2.9 m / s
this is how fast you get to the ramp, let's use conservation of energy
starting point. Lowest point
Em₀ = K = ½ m v²
final point. Point where it stops on the ramp
= U = m g h
mechanical energy is conserved
Em₀ = Em_{f}
½ m v² = m g h
h =
let's calculate
h =
h = 0.0858 m
to find the distance that e travels on the ramp let's use trigonometry, we look for the angle
tan θ = y / x
tan θ = 12/75 = 0.16
θ = tan⁻¹ 0.16
θ = 9º
therefore
sin 9 = h / l
l = h / sin 9
l = 0.0858 / sin 9
l = 0.548 m