To find the centripetal force, we use the formula:
Fc=rmv2
Where:
• Fc is the centripetal force
• m is the mass of the car
• v is the speed of the car
• r is the radius of the circular path
Step 1: Identify the given values.
m=1000 kg
v=10 m/s
r=50 m
Step 2: Substitute the values into the formula.
Fc=50m(1000kg)(10m/s)2
Step 3: Calculate the square of the speed.
(10m/s)2=100m2/s2
Step 4: Perform the multiplication in the numerator.
Fc=50m1000kg×100m2/s2
Fc=50m100000kg\cdotm2/s2
Step 5: Perform the division.
Fc=2000kg\cdotm/s2
Since 1kg\cdotm/s2=1 N (Newton), the force is:
Fc=2000 N
The centripetal force is 2000N.