Draw a diagram to illustrate the problem as shown in the figure below.
Camp A is 20° north of east from the camp, therefore
m∠CAB = 80°
where C => base camp.
Let d = distance from lake B to the base camp, at x° west of south.
Apply the Law of Cosines to determine d.
d² = 205² + 175² - 2*205*175*cos80⁰
= 6.0191 x 10⁴
d = 245.338 km
Apply the Law of Sines to obtain
x+30 = sin⁻¹ 0.8229 = 55.4°
x = 25.4°
Answer:
The distance from lake B to base camp is 243.3km (nearest tenth).
The direction is 25.4° west of south.
Answer:
The plants depend on animals and animals depend on plants.
Plants depend on animals for nutrients, pollination and seed dispersal. Animals are totally dependent on plants. First of all plants produce oxygen which is vital for life on earth. Then, for many animals plants are their basic food, or if plants don’t make up 100 % of their diet, plants are nevertheless essential in their food supply.
Answer:
210 N
Explanation:
The change in momentum of the ball is equal (in magnitude) to the impulse given to the pin, according to
(1)
where
is the change in momentum of the ball
F is the force exerted on the pin
is the duration of the collision
For the bowling ball, we have
m = 7 kg (mass)
u = 6.0 m/s (initial velocity)
v = 4.5 m/s (final velocity)
So, the change in momentum (in magnitude) is
We also know the duration of the collision,
And so if we re-arrange eq.(1), we find the force exerted on the pin:
Answer:
A protostar is the earliest stage of a star's life. A star is born when the gas and dust from a nebula become so hot that nuclear fusion starts.