A 0.150-kg ball, moving in the positive direction at 12 m/s, is acted on by the impulse of 4N*s what is the balls final velocity
Which direction is the impulse? the same direction?
initial momentum+ impulse= final momentum
that is if in the same direction.
To find the ball's final velocity, we can use the equation:
Final Velocity = Initial Velocity + (Impulse / mass)
Given that the initial velocity is 12 m/s, the impulse is 4 N*s, and the mass of the ball is 0.150 kg, we can substitute these values into the equation:
Final Velocity = 12 m/s + (4 N*s / 0.150 kg)
Now, let's calculate the final velocity:
Final Velocity = 12 m/s + (4 N*s / 0.150 kg)
Final Velocity = 12 m/s + (26.67 m/s)
Final Velocity = 38.67 m/s
Therefore, the ball's final velocity is 38.67 m/s in the positive direction.
To find the final velocity of the ball, you need to use the impulse-momentum equation, which states:
Impulse = Change in momentum
The impulse (J) is given as 4 N*s, and the mass (m) of the ball is 0.150 kg. The initial velocity (u) is 12 m/s, and we need to find the final velocity (v).
The impulse is defined as the force applied to an object multiplied by the time it acts. Mathematically, it is expressed as:
Impulse (J) = Force (F) * Time (Δt)
Rearranging the impulse-momentum equation to solve for the final velocity, we get:
J = m * (v - u)
Substituting the given values, the equation becomes:
4 N*s = 0.150 kg * (v - 12 m/s)
Now, let's solve for the final velocity (v):
4 N*s = 0.150 kg * v - 0.150 kg * 12 m/s
4 N*s + 0.150 kg * 12 m/s = 0.150 kg * v
4 N*s + (0.150 kg * 12 m/s) = 0.150 kg * v
0.4 N*s = 0.150 kg * v
Divide both sides by 0.150 kg:
(0.4 N*s) / 0.150 kg = v
v ≈ 2.67 m/s
Therefore, the ball's final velocity is approximately 2.67 m/s in the positive direction.