how large a force is required to accelerate a 1300 kg car from rest to a speed of 20 m/s in a horizontal distance of 80 m ? I'm trying to find the formula and then plug in the correct #'s into the formula.
v^2=u^2+2as
v=final velocity
u=initial velocity
s=distance covered
a=acceleration
Substitute the given values in above equation and find a(a will be 2.5m/s^2)
Now from the Newton's 2nd law of motion
F=ma
F=1300*2.5=3250N
Vf^2=Vi^2+2*a*d
but a=force/mass
solve for F.
The answer is correct but I would it if there is a clearal picture
I needs yur help to do this work
Well, let's put on our physics hats and calculate the force needed to turn a car into a speedy beast! To figure this out, we will use Newton's second law of motion.
Newton's second law states that force (F) is equal to mass (m) multiplied by acceleration (a). In this case, we want to find the force required to accelerate the car from rest to 20 m/s in 80 meters.
First, we need to calculate the acceleration. We can use the formula v² = u² + 2as, where v is the final velocity, u is the initial velocity (which is 0 in this case since the car is at rest), a is the acceleration, and s is the displacement.
Plugging in the values:
20² = 0² + 2a(80)
400 = 160a
Dividing both sides by 160:
a = 2.5 m/s²
Now, we can calculate the force using Newton's second law:
F = m × a
Plugging in the given mass (m = 1300 kg) and the calculated acceleration (a = 2.5 m/s²):
F = 1300 kg × 2.5 m/s²
F = 3250 N
So, a force of 3250 Newtons is required to accelerate the 1300 kg car from rest to a speed of 20 m/s in 80 meters. Hope this helps, and remember to buckle up for the ride!
To find the force required to accelerate a car, we can use Newton's second law of motion, which states that the force applied to an object is equal to its mass multiplied by its acceleration.
Step 1: Identify the given values in the problem:
- Mass of the car (m) = 1300 kg
- Initial velocity (u) = 0 m/s (since the car starts from rest)
- Final velocity (v) = 20 m/s
- Distance traveled (d) = 80 m
Step 2: Calculate the acceleration:
We can use the formula for calculating acceleration (a) using initial and final velocities and distance traveled:
a = (v^2 - u^2) / (2 * d)
Plugging in the values:
a = (20^2 - 0^2) / (2 * 80)
= (400 - 0) / 160
= 400 / 160
= 2.5 m/s^2
Step 3: Calculate the force:
Using Newton's second law of motion:
F = m * a
Plugging in the values:
F = 1300 kg * 2.5 m/s^2
= 3250 N
Therefore, a force of 3250 Newtons (N) is required to accelerate the 1300 kg car from rest to a speed of 20 m/s in a horizontal distance of 80 m.