First, we resolve the northeast displacement into its north and east components. The angle from the positive x-axis of a northeast displacement is 45 degrees. Thus:
North = 8.46sin(45) = 5.98 m
East = 8.46cos(45) = 5.98 m
North displacement = 5.98 - 3.6 = 2.38 m
West displacement = 15.6 - 5.98 = 9.62
Magnitude = √(2.38² + 9.62²)
Magnitude = 9.91 m
Direction:
tan∅ = 2.38 / 9.62
∅ = 13.9° north from east
Answer:
224.6 N
Explanation:
We can use first the formula to calculate the centripetal acceleration, given by:

where the Vt is the tangential velocity, and R is the radius of the circular motion.
Then, for our case we have:

And now we multiply this acceleration by Miguel's mass (11 kg) to obtain the centripetal force acting on him:

Answer:130
Explanation:just answered it
Answer:
speed of plane in still air = 1060 km/h
speed of wind = 170 km/h
Explanation:
Let teh speed of plane in still air is vp and the speed of air is va.
Irt travels 2670 km in 3 hours against the wind
So,
vp - va = 2670 / 3 = 890 km/h ..... (1)
It travels 11070 km in 9 hours along the wind.
vp + va = 11070 / 9 = 1230 km/h .... (2)
Adding both the equations
2 vp = 2120
vp = 1060 km/h
and va = 1230 - vp = 1230 - 1060 = 170 km/h