Answer:
Modern telescopes are capable of seeing bright galaxies up to about 10000 millions light years away
Explanation:
A telescope is a tool that astronomers use to see faraway objects. Most telescopes work by using curved mirrors to gather and focus light from the night sky. The bigger the mirrors or lenses, the more light the telescope can gather.
Modern telescopes gather information from the electromagnetic spectrum far beyond the range of visible light.
The farthest bright galaxies, that the modern telescope is capable of seeing is 10000 millions light years away.
Answer:
4.42 x 10⁷ W/m²
Explanation:
A = energy absorbed = 500 J
η = efficiency = 0.90
E = Total energy
Total energy is given as
E = A/η
E = 500/0.90
E = 555.55 J
t = time = 4.00 s
Power of the beam is given as
P = E /t
P = 555.55/4.00
P = 138.88 Watt
d = diameter of the circular spot = 2.00 mm = 2 x 10⁻³ m
Area of the circular spot is given as
A = (0.25) πd²
A = (0.25) (3.14) (2 x 10⁻³)²
A = 3.14 x 10⁻⁶ m²
Intensity of the beam is given as
I = P /A
I = 138.88 / (3.14 x 10⁻⁶)
I = 4.42 x 10⁷ W/m²
Answer:
(D) 42.4N
Explanation:
Since the frame is at rest, the net force acting on it must be 0. There are three forces acting on it: the gravity and the opposing forces of the two cables.
Since the gravity is a vertical force, we are only interested in the vertical components of the remaining forces. The net force equation is
F_net = 0 = F_g -2 * F_y
The vertical force of one cable (using the information in the drawing) is:
F_y = 30N * sin 45 deg = 21.21N
Now the weight can be determined:
0 = F_g - 2 * F_y
F_g= 2 * F_y = 2 * 21.21N = 42.4N
The weight of the frame is about 42.4N.
The block gains gravitational potential energy as it gets higher,
and that's the energy that the motor has to supply.
The amount of potential energy gained by the block is
(mass) x (gravity) x (height)
= (2.0 kg) x (9.8 m/s²) x (15 m)
= (2 x 9.8 x 15) kg-m²/s² = 294 joules.
Power = (change in energy) / (time for the change)
= (294 joules) / (6 sec)
= 49 joules/second = 49 watts .
The force due to gravity between two point masses is given by:
F = GMm/r²; where G is the gravitational constant, M is the larger mass, m is the smaller mass, and r is the distance between the two.
F = (6.673 × 10⁻¹¹ × 5.98 × 10²⁴ × 70) / (6.39 × 10⁶)²
F = 684.1 N