Answer:
576 joules
Explanation:
From the question we are given the following:
weight = 810 N
radius (r) = 1.6 m
horizontal force (F) = 55 N
time (t) = 4 s
acceleration due to gravity (g) = 9.8 m/s^{2}
K.E = 0.5 x MI x ω^{2}
where MI is the moment of inertia and ω is the angular velocity
MI = 0.5 x m x r^2
mass = weight ÷ g = 810 ÷ 9.8 = 82.65 kg
MI = 0.5 x 82.65 x 1.6^{2}
MI = 105.8 kg.m^{2}
angular velocity (ω) = a x t
angular acceleration (a) = torque ÷ MI
where torque = F x r = 55 x 1.6 = 88 N.m
a= 88 ÷ 105.8 = 0.83 rad /s^{2}
therefore
angular velocity (ω) = a x t = 0.83 x 4 = 3.33 rad/s
K.E = 0.5 x MI x ω^{2}
K.E = 0.5 x 105.8 x 3.33^{2} = 576 joules
Answer:
Pressure of liquid in container is given by, P= height × density × acceleration of gravity.
At the lower storey, the height of the liquid from the open end is great, since height is directly proportional to pressure, the pressure exerted by liquid is maximum hence increase in velocity of flow.
Unlike the upper storey where the height of water is less hence the pressure exerted by the liquid is minimum which decreases the velocity / speed of liquid flow
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.
Explanation:
The wavelength, λ defined as the total distance traveled by the wave in one full cycle of motion. In other words, wavelength can be given by horizontal distance between repeating units of wave pattern.
Also, the wavelength of a transverse wave can be measured as the distance between two adjacent crests or troughs.
λ × f = v
Where,
f = frequency in Hz
v = speed in m/s
Answer:
79.5 m
Explanation:
Let t be the time taken to hit the surface of water and x be the horizontal distance traveled.
use II equation of motion in Y axis direction
h = uy t + 1/2 g t^2
- 60 = - 100 Sin 35 x t - 1/2 x 9.8 x t^2
-60 = - 57.35 t - 4.9 t^2
4.9 t^2 + 57.35 t - 60 = 0
By solving we get
t = 0.97 second
The horizontal distance traveled is
x = ux t
x = 100 Cos 35 x 0.97
x = 79.5 m
