(I assume that the 4 directions north-south-east-west are meant with respect to the wire seen from the top.)
We can use the right-hand rule to understand the direction of the magnetic field generated by the wire. The thumb follows the direction of the current in the wire (upward), while the other fingers give the direction of the field in every point around the wire. Seen from the top, the field has an anti-clockwise direction. Therefore, if we take a point at east with respect to the wire, in this point the field has direction south.
Answer:
the balls reached a height of 4.9985 m
Explanation:
Given the data in the question;
mass one m = 3.8 kg
mass two M = 2.1 kg
Initial velocities
u = 22 m/s
U = { moving downward} = 12 m/s
Now, using the law conservation of linear moment;
mu + MU = v( m + M )
we solve for "v" which is the velocity of the ball s after collision;
v = (mu + MU) / ( m + M )
so we substitute our given values into the equation
v = ( ( 3.8 × 22 ) + ( 2.1 × -12) ) / ( 3.8 + 2.1 )
v = ( 83.6 - 25.2 ) / 5.9
v = 58.4 / 5.9
v = 9.898 m/s
Now, we determine required height using the following relation;
v"² - v² = 2gh
where v" is the velocity at the top which is 0 m/s and g = -9.8 m/s²
0 - v² = 2gh
v² = -2gh
so we substitute
( 9.898 )² = -2 × -9.8 × h
97.97 = 19.6 × h
h = 97.97 / 19.6
h = 4.9985 m
Therefore, the balls reached a height of 4.9985 m
Answer:
the speed of the sound in the air is 343.3 m/s
Explanation:
The computation of the speed of the sound in the air is shown below:
As we know that
Speed = Distance ÷ time
So, here speed be 515 m
And, the time is 1.50 seconds
So, the speed of the sound is
= 515 m ÷ 1.50 seconds
= 343.3 m/s
hence, the speed of the sound in the air is 343.3 m/s
Answer:
100km/hr
Explanation:
From the problem statement we know that distance of the trip is 115km
Expected time for the trip = 1.2hrs
→ If she spends the first half-hour going 90km/hr,
Here time = 0.5hr
speed = 90km/hr
The distance covered;
Distance covered = Speed x time
Distance covered = 90 x 0.5 = 45km
→The remaining distance will be:
Total distance - distance covered
115km - 45km = 70km
→ The remaining time;
1.2hr - 0.5hr = 0.7hr
Speed = 
Insert the parameters and solve;
Speed = 
= 100km/hr
For the remaining lap, the tourist must travel at a rate of 100km/hr to catch up.
