Question

PLEASE SHOW WORK!

A 700 kg race car makes one lap around a track. It has a velocity of 20 m/s with a centripetal force of 5,600 N. What is the radius of the track?

A speed skater goes around a turn with a 25 m radius. The skater has a velocity of 15 m/s and experiences a centripetal force of 720 N. What is the mass of the skater?

A 900-kg car moving at 5 m/s takes a turn around a circle with a radius of 30 m. Determine the net force acting upon the car.

An 800 kg race car makes one lap around a track. It has a velocity of 40 m/s with a centripetal force of 16,000 N. What is the radius of the track?

Answer 1

Question 1. 50 m

Question 2. 80 kg

Question 3. 750 N

Question 4. 80 m

Step-by-step explanation:

Here are some equations that we might have to use.

`F_(Cnet) =m*a_c\\F_(Cnet) =(m*v^2)/(r)\\a_c=(v^2)/(r)\\a_c=(F_(Cnet) )/(m)\\m=(F_(Cnet) )/(a_c)\\m=(F_(Cnet) *r)/(v^2) \\r=(m*v^2)/(F_(Cnet) )\\r=(v^2)/(a_c)`

Question 1

We are given

`m=700\\v=20\\F_(Cnet)=5600`

We will use
`r=(m*v^2)/(F_(Cnet) )`

`r=(700*20^2)/(5600)`

`r=50`

Question 2

We are given

`r=25\\v=15\\F_(Cnet) =720`

We will use
`m=(F_(Cnet) *r)/(v^2)`

`m=(720*25)/(15^2)`

`m=80`

Question 3

We are given

`m=900\\v=5\\r=30`

We will use
`F_(Cnet) =(m*v^2)/(r)`

`F_(Cnet) =(900*5^2)/(30)`

`F_(Cnet) =750`

Question 4

We are given

`m=800\\v=40\\F_(Cnet)=16000`

We will use
`r=(m*v^2)/(F_(Cnet) )`

`r=(800*40^2)/(16000)`

`r=80`

Hopefully this helps! A rating/review would be much appreciated! :)