Answer:
The correct option is (b) i.e. 0.03 m.
Explanation:
We have,
Speed of a wave is 0.09 m/s and the frequency of a wave is 3 Hz.
It is required to find the wavelength of a wave.
The speed of a wave in terms of wavelength and frequency is given by :
So, the wavelength of a wave is 0.03 m.
Answer:
A. 1.71 m
B. 2.66 m
Explanation:
A. Determination of the height of the pier.
We'll begin by calculating the time taken for the ball to get to the water
This can be obtained as follow:
Horizontal velocity (u) = 1.27 m/s,
Horizontal distance (s) = 0.75 m
Time (t) =?
s = ut
0.75 = 1.27 × t
Divide both side by 1.27
t = 0.75 / 1.27
t = 0.59 s
Finally, we shall determine the height of the pier as follow:
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) = 0.59 s
Height of pier (h) =?
h = ½gt²
h = ½ × 9.8 × 0.59²
h = 4.9 × 0.3481
h = 1.71 m
Thus, the height of the pier is 1.71 m
B. Determination of the horizontal distance.
Horizontal velocity (u) = 4.50 m/s
Time (t) = 0.59 s
Horizontal distance (s) =?
s = ut
s = 4.5 × 0.59
s = 2.66 m
Thus, if the ball moved at a velocity of 4.50 m/s off the pier, it will land at a distance of 2.66 m from the end of the pier.
<span>If the </span>base<span> has 6 sides, the </span>prism<span> will also have 6 </span>lateral faces. It will all depend how many sides the base has and the lateral face of the prism will equal to the number of sides of the base. In short, if the base<span> has 'x' sides, then the </span>prism<span> will </span>have<span> 'x' </span>lateral faces<span>.</span>
Using the conservation of momentumwhere momentum = mass x velocity
so the let x be the initial velocity of the ball B
(30 kg) (-10 m/s) + (10 kg) (x) = (30 kg) (30 m/s) + ( 10 kg) (-10 m/s)
-300 + 10 x = 900 - 10010x = 900 - 100 + 30010x = 1100x = 1100 / 10x = 110 m/s
Answer:
88m west and 50m north
Explanation:
1. Find the components of each vector in x and y:
(Please see the picture below)
- Vector 1:
Fx = 52m
Fy = 0m
- Vector 2:
Fx = 44m*cos34.6
Fy = 44m*sin34.6
- Vector 3:
Fx = 0m
Fy = 25m
2. Find the components of the final displacement acting in x and y:
For west direction:
Rx = 52m + 44m*cos34.6 + 0
Rx = 88m
For north direction:
Ry = 0 + 44m*sin34.6 + 25m
Ry = 50m