A(n) 0.163 kg baseball is thrown with a speed
of 9.37 m/s. It is hit straight back at the
pitcher with a final speed of 16.7 m/s.
What is the magnitude of the impulse de-
livered to the ball?
Answer in units of kg · m/s.
p=mv
p(thrown)=(.163)x(9.37) =1.52731
p(hit back)=(.163)x(16.7)= 2.7221 (negative)
1.52731-(-2.7221)=4.24941 = impulse.
p.s. I love you.
The impulse delivered to an object can be calculated using the equation:
Impulse = Change in momentum
Momentum is given by the equation:
Momentum = mass x velocity
First, let's calculate the initial momentum of the baseball:
Initial momentum = mass x initial velocity
= 0.163 kg x 9.37 m/s
Next, let's calculate the final momentum of the baseball:
Final momentum = mass x final velocity
= 0.163 kg x 16.7 m/s
Now, let's calculate the change in momentum:
Change in momentum = Final momentum - Initial momentum
Finally, we can find the magnitude of the impulse, which is the absolute value of the change in momentum.
Magnitude of impulse = |Change in momentum|
You can now substitute the values and calculate the magnitude of the impulse in kg·m/s.
To find the magnitude of the impulse delivered to the ball, we need to use the principle of conservation of momentum.
Impulse is defined as the change in momentum of an object and is calculated by multiplying the force applied to an object by the time interval over which the force is applied. In this case, the impulse is delivered to the ball when it is hit back by the pitcher and changes its momentum.
The momentum of an object is given by the product of its mass and velocity. Mathematically, momentum (p) is defined as:
p = m * v
where m is the mass of the object and v is its velocity.
Initially, the ball is thrown with a mass of 0.163 kg and a velocity of 9.37 m/s. Therefore, its initial momentum (p_initial) can be calculated as:
p_initial = m * v
= 0.163 kg * 9.37 m/s
Finally, the ball is hit back by the pitcher with a final velocity of 16.7 m/s. Therefore, its final momentum (p_final) can be calculated as:
p_final = m * v
= 0.163 kg * 16.7 m/s
To find the magnitude of the impulse delivered to the ball, we need to calculate the change in momentum (Δp) by subtracting the initial momentum from the final momentum:
Δp = p_final - p_initial
The magnitude of the impulse (I) delivered to the ball is equal to the change in momentum:
I = |Δp|
Therefore, you can find the magnitude of the impulse delivered to the ball by subtracting the initial momentum from the final momentum and taking the absolute value of the result.