Answer:
q = 4.5 nC
Explanation:
given,
electric field of small charged object, E = 180000 N/C
distance between them, r = 1.5 cm = 0.015 m
using equation of electric field
k = 9 x 10⁹ N.m²/C²
q is the charge of the object
now,
q = 4.5 x 10⁻⁹ C
q = 4.5 nC
the charge on the object is equal to 4.5 nC
Answer:
42 degrees, virtual image, same size as the object (26 cm)
Explanation:
The law of reflection states that:
- When a ray of light is incident on a flat surface (such as the plane mirror), the angle of reflection is equal to the angle of incidence
So, since in this case the angle of incidence is 42 degrees, the angle of reflection is also 42 degrees.
Moreover, the image formed by a plane mirror is always:
- Virtual (on the same side as the object)
- The same size as the object
So in this case, since the object's size is 26 cm, the image's size is also 26 cm.
The speed of the ball is always zero and the acceleration is always -g when it reaches the top of its motion. This is because when the ball is free, only gravity acts on it which is always downwards, hence g is the net acceleration and it is always negative. However the velocity does not direction change instantly, negative acceleration first slows down the ball with a positive velocity, until that point the ball keeps moving up, then the ball velocity becomes zero just before changing direction and becoming negative after which the ball will now go down along gravity. Hence the ball velocity is zero at the top (neither going up nor down). Mathematically this can be seen as velocity is the integration of acceleration.
Upward force provided by the branch is 260 N
<u>Explanation:</u>
Given -
Mass of Gibbon, m = 9.3 kg
Length of the branch, r = 0.6 m
Speed of the movement, v = 3.3 m/s
Upward force, T = ?
The tension force in the rod must be greater than the weight at the bottom of the swing in order to provide an upward centripetal acceleration.
Therefore,
F net = T - mg
F net = ma = mv²/r
Thus,
T = mv²/r + mg
T = m ( v²/r + g)
T = 9.3 [ ( 3.3)² / 0.6 + 9.8]
T = 259.9 N ≈ 260 N
Therefore, upward force provided by the branch is 260 N
Neither object will float in water.
They both have densities greater than 1.0 g/cm³,
so both will sink to the bottom of the beaker.
Like rocks.
