Which is one physical property that all stars have
1 answer:
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Answer:
The trains will collide at a distance 1660 m from the station
Explanation:
Let the train traveling due north with a constant speed of 100 m/s be Train A.
Let the train traveling due south with a constant speed of 136 m/s be Train B.
From the question, Train B leaves a station 2,881 m away (that is 2,881 m away from Train A position).
Hence, the two trains would have traveled a total distance of 2,881 m by the time they collide.
∴ If train A has covered a distance m by the time of collision, then train B would have traveled
m.
Also,
At the position where the trains will collide, the two trains must have traveled for equal time, t.
That is, At the point of collision,
is the time spent by train A
is the time spent by train B
From,
Since the time spent by the two trains is equal,
Then,
m
m
m/s
m/s
Hence,
≅ 1,221 m
This is the distance covered by train A by the time of collision.
Hence, Train B would have covered (2881 - 1221)m = 1660 m
Train B would have covered 1660 m by the time of collision
Since it is train B that leaves a station,
∴ The trains will collide at a distance 1660 m from the station.
Answer:
a) , b) ∠=-54.83°
Explanation:
In order to solve this problem, we must start with a drawing of the situation, this will help us visualize the problem better. (See picture attached).
a)
Now, the idea is that the beer mug has a horizontal speed and no vertical speed at initial conditions. So knowing this, we can start finding the initial velocity of the mug.
In order to do so, we need to find the time it takes for the mug to reach the ground. We can find it by using the following equation:
We can see from the drawing that y and the initial velocity in y are zero, so we can simplify our formula:
so we can solve for t, so we get:
so now we can substitute the known values, so we get:
which yields:
t=0.538s
So we can use this value to find the velocity in x:
When substituting we get:
which yields:
b)
In order to solve part b, we need to find the y-component of the velocity, for which we can use the following formula:
We know that is zero, so we can simplify the expression:
So we can solve the equation for so we get:
and when substituting the known values we get:
which yields:
Once we got the final velocity in y, we can use it together with the velocity in x to find the angle.
So we can use the following formula:
when solving for theta we get:
We can substitute so we get:
which yields:
