Question

A 0.800 kg orament is hanging by a 1.50 m wire when the omament is suddenly hit by a 0.400 kg missile traveling horizontally at 12.0 m/s. The missile embeds itself in the omament during the collision. Part A What is the tension in the wire immediately after the collision? Express your answer with the appropriate units. HA ? T = Value Units h Submit Request Answer < Return to Assignment Provide Feedback

Answer 1

The tension in the wire immediately after the collision is 12.8 N.

How to calculate the tension in the wire?

The tension in the wire immediately after the collision is calculated by applying the following formula as follows;

T = mv²/r

where;

• m is the total mass of the orament and missile
• v is the final speed of the system
• r is the radius of the circular path

The final speed of the system is calculated by applying principle of conservation of linear momentum as follows;

0.8 kg x (0 m/s) + 0.4 kg x (12 m/s) = v (0.8 kg + 0.4 kg)

0 + 4.8 = 1.2v

v = 4.8 / 1.2

v = 4 m/s

The tension in the wire is;

T = mv²/r

T = (0.8 kg + 0.4 kg) x (4 m/s )² / 1.5 m

T = 12.8 N