Answer:
2442.5 Nm
Explanation:
Tension, T = 8.57 x 10^2 N
length of rope, l = 8.17 m
y = 0.524 m
h = 2.99 m
According to diagram
Sin θ = (2.99 - 0.524) / 8.17
Sin θ = 0.3018
θ = 17.6°
So, torque about the base of the tree is
Torque = T x Cos θ x 2.99
Torque = 8.57 x 100 x Cos 17.6° x 2.99
Torque = 2442.5 Nm
thus, the torque is 2442.5 Nm.
Answer:
(1) 2.05 x 10^4 N/C
(2) Downward
(3) upward, 9.8 m/s^2
(4) upward, 9.8 m/s^2
Explanation:
q = - 2.1 micro coulomb, m = 0.0044 kg, g = 9.8 m/s^2
(1) The electric force is given by F = - q x E
The magnitude of electric force is balanced by the weight of the charged particle
q x E = m x g
E = mg / q
E = 2.05 x 10^4 N/C
(2) As the electric force is acting upward and the weight is downward so the elecric field is in downward direction.
(3) The charge is doubled,
then the electric field becomes half.
E = 2.05 x 10^4 / 2 = 1.025 x 10^4 N/C
The direction is same that is in downward direction.
Acceleration = Force / mass
a = mg / m = 9.8 m/s^2 upward
(4) The charge is doubled,
then the electric field becomes half.
E = 2.05 x 10^4 / 2 = 1.025 x 10^4 N/C
The direction is same that is in downward direction.
Acceleration = Force / mass
a = mg / m = 9.8 m/s^2 upward