Answer:
691 m
Explanation:
In these problems the time a ball is in the air is determined by the gravitational acceleration (y-coordinate) and the distance it travels is related to the velocity in the x-coordinate.
First get the x and y components of the initial speed.
Initial speed has a magnitude of 125 and a direction of 30°
speed in x = 125 cos 30° = 108.3 m/s
speed in y = 125 sin 30° = 62.5 m/s
The time it takes to the ball to reach the highest height (when the speed in the y-coordinate is 0) is:
0 = 62.5 - 9.8*t
t = 6.38 s
With the time you can calculate the distance travelled in the x-coordinate at a constant speed of 108.3.
d = vt
d = 108.3 * 6.38
d = 691 m
Answer:
The final velocity of apple and arrow after the collision is 2 m/s.
Explanation:
Given that,
Mass of an arrow, m = 0.5 kg
Initial velocity of the arrow, v = 10 m/s
Mass of an apple, m' = 2 kg
Initial velocity of the arrow, v' = 0 (at rest)
We need to find the final velocity of apple and arrow after the collision. After the collision, the arrow and the apple are stuck together. It is a case of inelastic collision. Let V is the final velocity of apple and arrow after the collision. Using the conservation of linear momentum as :
So, the final velocity of apple and arrow after the collision is 2 m/s.
Answer:
Explanation:
a ) Current remains the same throughout the whole of a closed circuit if all the resistances are in series. So current will remain the same in both these conductors as they are in series.
b ) If the two wires are switched or exchanged mutually , there will not be any change in the current are they will still remain in series and total resistance remains the same . so current will remain the same . Hence the current through the bulb will remain unchanged . The brightness too will remain the same.