A projectile must have 150 kJ of kinetic energy to break through a city wall. Which of the following projectiles will break through the wall?
A. Mass = 100 kg; speed = 55 m/s
B. Mass = 150 kg; speed = 42 m/s
C. Mass = 200 kg; speed = 36 m/s
D. All of the above

A. Mass = 100 kg; speed = 55 m/s

Explanation:

The kinetic energy of an object is the energy that an object possessed due to its motion.

It is given by:

where

m is the mass of the object

v is its speed

Here we have to compare the kinetic energy of the three projectiles.

For projectile A:

A. Mass = 100 kg; speed = 55 m/s

So its KE is

For projectile B:

B. Mass = 150 kg; speed = 42 m/s

So its KE is

For projectile C:

C. Mass = 200 kg; speed = 36 m/s

So its KE is:

So, only projectile A has enough energy (150 kJ) to break the wall.

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