A 400 kg rocket sled can be accelerated at a constant rate from rest to 1600 km/h in 2.0 s. What is the magnitude of the required net force?
F = M a
Calculate the acceleration, a, from the relation
Vfinal = a t
Vfinal = 444 m/s (You need to convert km/h to m/s)
a = 444/2 = 222 m/s^2
88800N
To find the magnitude of the required net force, you need to use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
First, let's convert the final velocity from km/h to m/s:
1600 km/h = (1600 * 1000) m / (3600 s) = 444.44 m/s (rounded to two decimal places).
Next, let's find the acceleration by using the formula:
acceleration = change in velocity / time.
The change in velocity is equal to the final velocity minus the initial velocity, and since the sled starts from rest, the initial velocity is 0.
So, acceleration = (444.44 m/s - 0 m/s) / 2.0 s = 222.22 m/s² (rounded to two decimal places).
Now that we have the mass (400 kg) and the acceleration (222.22 m/s²), we can find the magnitude of the required net force using Newton's second law:
force = mass × acceleration.
force = 400 kg × 222.22 m/s² = 88,888 N (rounded to the nearest whole number).
Therefore, the magnitude of the required net force to accelerate the rocket sled is 88,888 Newtons.