A 900-kg car moving at 10 m/s takes a turn around a circle with a radius of 25.0 m. Determine the acceleration and the net force acting upon the car
First we need to find the car's centripetal acceleration using the formula:
a = v^2 / r
where a is the centripetal acceleration, v is the velocity, and r is the radius of the circle.
Plugging in the given values, we get:
a = (10 m/s)^2 / 25 m
a = 4 m/s^2
Next, we can use Newton's second law of motion to find the net force acting on the car. The formula is:
Fnet = ma
where Fnet is the net force, m is the mass, and a is the acceleration.
Plugging in the given values, we get:
Fnet = (900 kg)(4 m/s^2)
Fnet = 3600 N
Therefore, the acceleration of the car is 4 m/s^2 and the net force acting upon the car is 3600 N.
To determine the acceleration and the net force acting on the car, we can use the following formulas:
Centripetal acceleration: a = v^2 / r
Net force: F = m * a
Given:
Mass of the car (m) = 900 kg
Velocity (v) = 10 m/s
Radius of the circle (r) = 25.0 m
Step 1: Calculate the centripetal acceleration.
Using the formula a = v^2 / r, we have:
a = (10^2) / 25.0
a = 100 / 25.0
a = 4.0 m/s^2
Step 2: Calculate the net force.
Using the formula F = m * a, we have:
F = 900 * 4.0
F = 3600 N
Therefore, the acceleration of the car is 4.0 m/s^2 and the net force acting upon the car is 3600 N.