what net force is needed to accelerate a 2.0kg mass from rest to a velocity of 10m/s in 5.0s
The required acceleration is 2.0 m/s^2.
Use F = M a for the net force. It will be in newtons is M is in kg and a is in m/s^2.
m=2.0kg
a=10-0/5=10/5=2ms2
f=ma
f= 2kg*2ms2
f=4N
To find the net force needed to accelerate an object, you can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration. The formula can be written as:
Force = mass × acceleration
In this case, we have the mass (m) of 2.0 kg and the final velocity (v) of 10 m/s. Since the object is at rest initially, we can assume the initial velocity (u) is 0 m/s. The time (t) taken to reach this velocity is 5.0 s.
First, we need to calculate the acceleration (a) using the formula:
Acceleration = (final velocity - initial velocity) / time
Acceleration = (10 m/s - 0 m/s) / 5.0 s = 2 m/s²
Now that we have the acceleration, we can calculate the net force (F) using Newton's second law:
Force = mass × acceleration
Force = 2.0 kg × 2 m/s² = 4.0 N
Therefore, a net force of 4.0 N is needed to accelerate a 2.0 kg mass from rest to a velocity of 10 m/s in 5.0 s.