A car with a mass of 1000kg is travelling at a constant velocity. The force from the engine is 200Newtons. Calculate the acceleration of the car using the formula f=ma.
How long will it take this car to travel 0-60 mph (n.b. 1mph = 0.45m/s)
To calculate the acceleration of the car, we can use the formula F = ma, where F is the force, m is the mass, and a is the acceleration. In this case, the force from the engine is given as 200 Newtons.
Therefore, F = 200 N.
We also know the mass of the car is 1000 kg, so m = 1000 kg.
By rearranging the formula F = ma, we can solve for acceleration:
a = F / m
a = 200 N / 1000 kg
a = 0.2 m/s^2
Therefore, the acceleration of the car is 0.2 m/s^2.
Now, to calculate how long it will take the car to travel from 0 to 60 mph, we need to convert the speed to meters per second (m/s). We are given that 1 mph is equal to 0.45 m/s.
So, 60 mph is equal to:
60 mph * 0.45 m/s per mph = 27 m/s
To calculate the time it takes for the car to reach this speed, we can use the formula v = u + at, where v is the final velocity, u is the initial velocity (which is 0 in this case), a is the acceleration, and t is the time.
In this case, we want to find the time, so we rearrange the formula to:
t = (v - u) / a
t = (27 m/s - 0 m/s) / 0.2 m/s^2
t = 135 s
Therefore, it will take the car 135 seconds to travel from 0 to 60 mph.
seems pretty straightforward to me
F = ma
200 = 1000a
a = 0.2
v = at
60*0.45 = 0.2t
t = 135 sec