Answer:
398.3 m, 334.2 m
Explanation:
The magnitude of the displacement vector is
v = 520 m
And its direction is
measured as north of east.
The x-component of this vector is given by:
While the y-component is given by
The x-component of the displacement vector (east-west direction) is approximately 398 m and the y-component (north-south direction) is approximately 334 m.
Displacement vectors contain both magnitude and direction information. In the case of a displacement vector 520 m long, pointing 40 degrees North of East, we can break it down into x and y components using trigonometric functions, specifically cosine and sine.
For the x-component (east-west direction), we can use the cosine function because it gives us the adjacent side in a right triangle, which is the east-west direction in our case. Therefore, the x-component will be:
520 m * cos(40) = 398m (rounded to nearest unit).
For the y-component (north-south direction), we can use the sine function because it gives us the opposite side in a right triangle, which is the north-south direction in our case. Hence the y-component will be:
520 m * sin(40) = 334 m (rounded to nearest unit).
#SPJ11
B) The TV actors tne room
C) The moon
D) The remote control in your hand
The gravitational force an object exerts is influenced by its mass and distance. From the options, the moon exerts the most gravitational force because of its significant mass, despite being far away.
The factor that determines the gravitational force exerted by an object is both its mass and the distance from it. The equation for gravitational force is F = G * (m1 * m2) / r^2, where 'G' is the gravitational constant, 'm1' and 'm2' are the masses of the two objects, and 'r' is the distance between their centers.
In the options given: the remote control, the couch, TV actors, and the moon, despite the latter being far off, still, the moon exerts the strongest gravitational force on you. The magnitude of gravitational force exerted by the moon is larger due to its massive size compared to the rest, even though it's far away. The effect is noticeable in the ebb and flow of ocean tides caused by the moon's gravity.
#SPJ3
Apply this kinematics equation for the particle's vertical motion:
D = Vt + 0.5At²
D = vertical distance traveled, t = time, V = initial vertical velocity, A = vertical acceleration
Given values:
D = 49m
V = 34.3m/s
A = -9.81m/s²
Plug in and solve for t:
49 = 34.3t - 4.905t²
4.905t² - 34.3t + 49 = 0
Use the quadratic roots formula to find the values of t:
t ≈ 2, 5
The particle reaches a height of 49m at t = 2s & t = 5s