Answer:
26.56°
Explanation:
given,
horizontal distance travel by the ant = 2 m
vertical distance travel by the ant = 1 m
angle of the ant above the initial point = ?
using trigonometric function
θ is the angle of the ant form initial position
h is the height on the wall
x is the horizontal distance covered by the ant
hence, the angle made by the ant from the initial position is equal to 26.56°
Answer:
The least number of forces required to stretch a spring is one.
Explanation:
Let suppose that spring is ideal, that is, that effects from its mass can be neglected since it is insignificant in comparison with external forces. In addition, let the spring have a linear behavior, meaning that net external longitudinal force exerted on spring is directly proportional to defomation. (Hooke's Law) That is:
(1)
(2)
Where:
- Net external force, measured in newtons.
- Spring constant, measured in newtons per meter.
- Deformation of spring, measured in meters.
Hence, the least number of forces required to stretch a spring is one.
Answer:
(a) = 0.22 W
(b) = 0.056 W
Explanation:
given information:
the mass of piano wire, m = 3.00 g = 0.003 kg
tension, F = 25 N
length, l = 80 cm = 0.8 m
frequency, f = 120 Hz
amplitude, A = 1.6 mm = 0.0016 m
(a) the average power carried by the wave,
=
(√μF)ω²A²
where,
ω = 2πf = 2π120 = 754
μ =
=
= 0.00375 kg/m
thus,
=
(√(0.00375)(25))(754)²(0.0016)²
= 0.22 W
(b) What happens to the average power if the wave amplitude is halved.
based on the equation above, we know that the average power is proportional to the square amplitude. therefore
=
= 0.056 W