23.
The speed of a body of moss 2 kg Charges
from 4 m/s to lo mls in 10 second. Determine
the magnituele of the force
Answers
Correct Question :
The speed of a body of mass 2 kg changes from 4m/s to 10m/s in 10 seconds. Determine the magnitude of applied force.....
Solution :
Given that,
- mass of the body = 2kg
- initial velocity = 4m/s
- final velocity = 10m/s
- time interval = 10s
We are asked to find magnitude of applied force.
❖ As per newton's second law of motion, force is defined as the rate of change of linear momentum
Mathematically, F = dp/dt
- F denotes force
- dp denotes change in momentum
- dt denotes time
We know that momentum is measured as the product of mass and velocity.
Finally, F = m (v - u) / dt
- v denotes final velocity
- u denotes initial velocity
- m denotes mass
By substituting the given values;
➙ F = m (v - u) / dt
➙ F = 2 (10 - 4) / 10
➙ F = 2(6)/10
➙ F = 12/10
➙ F = 1.2 N
Correct Question :
The speed of a body of mass 2 kg changes from 4m/s to 10m/s in 10 seconds. Determine the magnitude of applied force.....
Solution :
Given that,
mass of the body = 2kg
initial velocity = 4m/s
final velocity = 10m/s
time interval = 10s
We are asked to find magnitude of applied force.
❖ As per newton's second law of motion, force is defined as the rate of change of linear momentum
Mathematically, F = dp/dt
F denotes force
dp denotes change in momentum
dt denotes time
We know that momentum is measured as the product of mass and velocity.
Finally, F = m (v - u) / dt
v denotes final velocity
u denotes initial velocity
m denotes mass
By substituting the given values;
➙ F = m (v - u) / dt
➙ F = 2 (10 - 4) / 10
➙ F = 2(6)/10
➙ F = 12/10
➙ F = 1.2 N