The tension in the cable is 23.2 N
<h3>What is the tension in the string?</h3>
The tension in the cable can be resolved into horizontal and vertical forces Tcosθ and Tsinθ respectively.
Tcosθ, is acting perpendicularly, Tcosθ = 0
Taking moments about the pivot:
Tsinθ * 2.2 = 4 * 9.8 * 0.7
Solving for θ;
θ = tan⁻¹(1.4/2.2) = 32.5°
T = 27.44/(sin 32.5 * 2.2)
T = 23.2 N
In conclusion, the tension in the cable is determined by taking moments about the pivot.
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Answer:
Option C - 39.2 J
Explanation:
We are given that;
Mass; m = 2 kg.
Distance moved off the floor;d = 10 m.
Acceleration due to gravity;g = 9.8 m/s².
We want to find the work done.
Now, the Formula for work done is given by;
Work = Force × displacement.
In this case, it's force of gravity to lift up the boots, thus;
Formula for this force is;
Force = mass x acceleration due to gravity
Force = 2 × 9.8 = 19.2 N
∴ Work done = 19.6 × 2
Work done = 39.2 J.
Hence, the Work done to life the boot of 2 kg to a height of 2 m is 39.2 J.
Here, Initial momentum = mu = 6*2 = 12 Kg m/s
Final momentum = mv = 6*4 = 24 Kg m/s
In short, Your Answer would be Option C
Hope this helps!
<span>The three major types of
symbiosis are mutualism, where both species benefit, commensalism, where
one species benefits and the other is unaffected, and parasitism, where
one species benefits and the other is harmed. Symbiotic relationships can occur within an organism's body or outside of it. </span><span>Examples of mutualism include the
relationship between single-celled organisms or animals that incorporate
algae into their bodies. They give the algae necessary nutrients, and
in return receive chemical energy from the photosynthetic algae. Animals
that have this sort of relationship include some sponges, sea anemones
and clams.
Examples of commensalism include remora fish attaching to the bodies
of sharks and eating scraps of food that escape their jaws, and
barnacles living on the jaws of whales with a similar feeding strategy.
Plants have commensal relationships as well, such as many orchids that
grow on taller plants and benefit from the additional sunlight they
obtain, without actually stealing nutrients from the host plant.
Parasitic relationships are many, and parasites include all
disease-causing organisms. This category also includes insects such as
fleas that suck the blood of hosts externally. Parasitism is a very
efficient strategy for organisms, and parasites often lose many of the
features of non-parasitic life forms, instead relying on their hosts for
many of the functions of life.</span>
Answer: The distance is 723.4km
Explanation:
The velocity of the transverse waves is 8.9km/s
The velocity of the longitudinal wave is 5.1 km/s
The transverse one reaches 68 seconds before the longitudinal.
if the distance is X, we know that:
X/(9.8km/s) = T1
X/(5.1km/s) = T2
T2 = T1 + 68s
Where T1 and T2 are the time that each wave needs to reach the sesmograph.
We replace the third equation into the second and get:
X/(9.8km/s) = T1
X/(5.1km/s) = T1 + 68s
Now, we can replace T1 from the first equation into the second one:
X/(5.1km/s) = X/(9.8km/s) + 68s
Now we can solve it for X and find the distance.
X/(5.1km/s) - X/(9.8km/s) = 68s
X(1/(5.1km/s) - 1/(9.8km/s)) = X*0.094s/km= 68s
X = 68s/0.094s/km = 723.4 km
