A jet catapult on an aircraft carrier accelerates a 200kg plane uniformly from rest to a launch speed of 320km/h in 2.0s. What is the magnitude of the net force on the plane?
force= massplane*acceleration
acceleartion= changeinvlocity/time
To find the magnitude of the net force on the plane, we can 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.
Given:
Mass of the plane (m) = 200 kg
Launch speed (v) = 320 km/h = (320 * 1000) / 3600 m/s ≈ 88.9 m/s
Time taken (t) = 2.0 s
To find the acceleration, we can use the following equation derived from the kinematic equation:
v = u + at
Rearranging the equation, we get:
a = (v - u) / t
Where:
u = initial velocity = 0 m/s (plane starts from rest)
Substituting the values, we have:
a = (88.9 - 0) / 2.0 ≈ 44.5 m/s^2
Now, using Newton's second law, we can find the magnitude of the net force:
F = m * a
Substituting the values, we get:
F = 200 * 44.5 ≈ 8900 N
Therefore, the magnitude of the net force on the plane is approximately 8900 Newtons.
To find the magnitude of the net force on the plane, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given:
Mass of the plane, m = 200 kg
Initial velocity, u = 0 km/h (since the plane is at rest)
Final velocity, v = 320 km/h
Time taken, t = 2.0 s
First, we need to convert the velocities from km/h to m/s to maintain consistent units in the calculation.
1 km/h is equal to 1000 m/3600 s. So, we can calculate the final velocity and initial velocity in m/s:
Initial velocity, u = 0 km/h = 0 m/s
Final velocity, v = 320 km/h = (320 × 1000 m/3600 s) m/s = 88.89 m/s
Now, we can calculate the acceleration using the formula:
acceleration = (final velocity - initial velocity) / time
acceleration = (88.89 m/s - 0 m/s) / 2.0 s = 44.44 m/s²
Finally, we can calculate the net force using Newton's second law:
net force = mass × acceleration
net force = 200 kg × 44.44 m/s² = 8888 N
Therefore, the magnitude of the net force acting on the plane is 8888 Newtons.