Question

What is the velocity of a 65 kg runner with 90 kg m/s of momentum.

Answer 1

`\boxed {\boxed {\sf v \approx 1.46 \ m/s}}`

Step-by-step explanation:

Momentum is the product of mass and velocity.

`p=mv`

We know the mass is 65 kilograms and the momentum is 90 kilograms meters per second.

`m= 65 \ kg \\p= 95 \ kg \ m/s`

Substitute the values into the formula.

`95 \ kg \ m/s= 65 \ kg *v`

Since we are solving for velocity, we must isolate the variable (v). It is being multiplied by 65 kg. The inverse of multiplication is division, so we divide.

`\frac {95 \ kg \ m/s}{65 \ kg }= \frac {65 \ kg *v}{65 \ kg}`

`\frac {95 \ kg \ m/s}{65 \ kg }=v`

The kilograms cancel when divided.

`1.46153846 \ m/s=v`

Let's round to the nearest hundredth. The 1 (in the thousandth place) tells us to leave the 6.

`1.46 \ m/s \approx v`

The velocity is approximately 1.46 meters per second.