A car mass 800kg goes round a corner of radius 65 m at a speed of 65 m/ s. What size force is needed to achieve this
centripetal force ... f = (m v^2) / r = 800 kg * (65 m/s)^2 / 65 m = ? Newtons
ac=v^2/r
=10^2/65
=1.53
F=mac
=800x1.53
=1.224N
To find the force needed to achieve this, we can use the principle of centripetal force.
The centripetal force acts towards the center of the circular path and is responsible for keeping an object moving in a circular path. The formula to calculate centripetal force is:
F = (m * v^2) / r
Where:
F is the centripetal force
m is the mass of the car (800 kg)
v is the speed of the car (65 m/s)
r is the radius of the corner (65 m)
Now, let's substitute the values into the formula:
F = (800 kg * (65 m/s)^2) / 65 m
Calculating this further:
F = (800 kg * 4225 m^2/s^2) / 65 m
F = 328,000 kg m/s^2 / 65 m
F = 5050 kg m/s^2
The force required to achieve this is 5050 Newtons (N).