what change in velocity would be produced on a body of mass 4kg, if a contact force of 16N act on it for 2sec.
II Newton's law:
a=F/m
a=16N/4kg
a=4m/s^2
a=Δv/Δt
Δv=a x Δt
Δv=4m/s^2 x 2s
Δv=8m/s
change in velocity is 8m/s
Well, if a contact force of 16N acts on a body for 2 seconds, the change in velocity would depend on various factors like friction and air resistance. But let's assume there are no other forces at play for the sake of simplicity.
Using Newton's second law, F = ma, where F is the force, m is the mass, and a is the acceleration, we can rearrange the equation to find the acceleration. So, a = F/m.
Plugging in the values, we get a = 16N / 4kg, which gives us an acceleration of 4 m/s².
Now, since the initial velocity wasn't provided, let's assume it was zero.
Using a standard kinematic equation, vf = vi + at, we can find the final velocity (vf). Plugging in the values, we get vf = 0 + 4 m/s² * 2 sec, which equals 8 m/s.
So, the change in velocity would be 8 m/s, assuming no other forces are acting on the body. Keep in mind, though, this is all hypothetical, and in reality, various other factors would affect the final result.
To determine the change in velocity of a body, you can use Newton's second law of motion which states that force is equal to mass multiplied by acceleration (F=ma).
Given:
Mass (m) = 4 kg
Force (F) = 16 N
Time (t) = 2 sec
To find the acceleration (a), rearrange the formula as follows:
F = ma
a = F/m
Substitute the values:
a = 16 N / 4 kg
a = 4 m/s²
Now, we can use the formula for average acceleration:
a = (change in velocity) / (change in time)
Rearrange the formula to solve for the change in velocity:
change in velocity = a × change in time
Substitute the values:
change in velocity = 4 m/s² × 2 sec
change in velocity = 8 m/s
Therefore, the change in velocity produced on the body of mass 4 kg, if a contact force of 16 N acts on it for 2 seconds, is 8 m/s.
To find the change in velocity of a body, we can use Newton's Second Law of Motion, which states that the force acting on an object is equal to the product of its mass and acceleration:
Force = Mass × Acceleration
Rearranging the equation, we can solve for the acceleration:
Acceleration = Force / Mass
In this case, the force acting on the body is given as 16 N, and the mass of the body is 4 kg.
Acceleration = 16 N / 4 kg = 4 m/s^2
Now, we can use the equation of motion to find the change in velocity:
Change in Velocity = Acceleration × Time
Given that the time is 2 seconds, we can calculate the change in velocity:
Change in Velocity = 4 m/s^2 × 2 s = 8 m/s
Therefore, the body would experience a change in velocity of 8 m/s when a contact force of 16 N acts on it for 2 seconds.