A body of mass 10 kg moving with velocity of 10m/s had hits a stationary body and had its direction reversed and velocity changed to 7.5m/s in 5 seconds. calculate the force of impact
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To calculate the force of impact, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
1. Calculate the change in velocity:
Δv = final velocity - initial velocity
Δv = 7.5 m/s - (-10 m/s)
Δv = 17.5 m/s
2. Calculate the acceleration:
Acceleration = Δv / time
Acceleration = 17.5 m/s / 5 s
Acceleration = 3.5 m/s²
3. Calculate the force of impact:
Force = mass * acceleration
Force = 10 kg * 3.5 m/s²
Force = 35 N
Therefore, the force of impact is 35 Newtons.
To calculate the force of impact, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).
From the given information, we can find the change in velocity using the equation:
Change in velocity = Final velocity - Initial velocity
Δv = 7.5 m/s - (-10 m/s) = 7.5 m/s + 10 m/s = 17.5 m/s
We are also given the time taken for the change in velocity, which is 5 seconds.
Using the equation:
Acceleration = Change in velocity / Time
a = Δv / t = 17.5 m/s / 5 s = 3.5 m/s^2
Now, let's calculate the force using Newton's second law of motion:
Force = mass * acceleration
F = 10 kg * 3.5 m/s^2 = 35 N
Therefore, the force of impact is 35 Newtons.