Answer:
Net force = 7.10 N
Direction of the resultant force = 45° from the horizontal in South-west direction
Explanation:
Forces acting on opposite directions horizontally are 10N and 5N.
Resultant force horizontally F(1) = 10 - 5 = 5N (in the direction of 10 N)
Forces acting on opposite directions vertically are 7N and 2N.
Resultant force vertically F(2) = 7 - 2 = 5N (in the direction of 7N)
Now resultant force of F(1) and F(2),
F =
F =
F = ≈ 7.10 N
From the triangle OBC,
tanθ =
tanθ =
θ = 45°
Therefore, magnitude of the resultant force = 7.10N
Direction of the resultant force = 45° from the horizontal in south west direction.
Answer:
The molecular formula for the compound is C4H8.
Explanation:
Emperical formula is CH2
Molar mass = 56 g/mol
Molar mass = (CH2)n
56 = (12 + 1×2)n
56 = (12 + 2)n
14n = 56
n = 56/14 = 4
Molecular formula = (CH2)n = (CH2)4 = C4H8
Answer:
T = 243.80 N
Explanation:
In order to calculate the tension T in each of the cables, you take into account the Newton second law for the vertical component of the forces involved.
(1)
where you have used the fact that both cables have the same tension T, and they make the same angle with the horizontal.
W is the weigh of the loudspeaker and has the folowing values:
Next, you can calculate the angle θ by using the information about the length of the cables and the distance from the ceiling to the loudspeaker:
Finally, you solve the equation (1) for T, and then you replace the values of the other parameters:
The tension in each cable is 243.80N
Within the system of the same star, the period of a planet's orbit is
proportional to the 3/2 power of its distance from the central body.
(Kepler's empirical third law of planetary motion, promoted to being
etched in stone by Newton's gravitation.)
(4) ^ 3/2 = <em>8 times</em> as long.
Kinetic Energy = (1/2) (mass) (speed)²
KE = (1/2) (400 kg) (50 m/s)²
KE = (200 kg) (2500 m²/s²)
KE = 500,000 kg-m²/s²
<em>KE = 500,000 Joules</em>
KE = 1/2 Mega-Joule