The linear momentum is a constant when the mass varies inversely of the velocity. If the velocity is 16 meters per second and the object weighs 450 kilograms, what is the weight for an object with a velocity of 12 meters per second?
400 kilograms
600 kilograms
6,400 kilograms
7,200 kilograms

The weight for an object with a velocity of 12 meters per second is 600 kilograms

Step-by-step explanation:

Formula of linear momentum : p = mv

where p is the momentum

m = mass

v = velocity

If the velocity is 16 meters per second  and the object weighs 450 kilograms

Substitute the values

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that The linear momentum is a constant when the mass varies inversely of the velocity.

So,

600 = m

So,the weight for an object with a velocity of 12 meters per second is 600 kilograms

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!