Question

A boy has a 220 gram model aeroplane with an engine which is attached to a fishing line so it will fly round in a circle. The 'plane is flown at a speed of 25 m/s on a line of length 45 m. The tension in the line at this speed is about:

a. 3 N
b. 4 N
c. 5 N
d. 6 N

Answer 1

The tension in the line at a speed of 25 m/s and a length of 45 m is approximately 6 N. So the correct answer is Option D.

Step-by-step explanation:

To calculate the tension in the fishing line, we can use the centripetal force equation:

F = (m * v^2) / r

Where:
F is the tension in the line
m is the mass of the airplane, which is given as 220g or 0.22kg
v is the velocity of the airplane, which is given as 25m/s
r is the radius of the circle, which is half the length of the line or 22.5m

Plugging in the values, we get:
F = (0.22 * 25^2) / 22.5

Simplifying, we find that the tension in the line is approximately 6N.