A baseball of mass 148g is travelling at 35.0m/s [E] collides with a baseball bat. the collision lasts for 1.10ms. After the collision, the baseball travels at 52m/s [W]. What is the force of the bat on the baseball
Force * time = change in momentum
= .148 (35+52)
.00110 F = .148 (87)
F = 11,705 N
A baseball ( m=150.0g) is traveling at 40.0 m/s.how much work must be done to stop the ball.
To find the force of the bat on the baseball, we can apply Newton's second law of motion, which states that the force acting on an object is equal to the rate of change of its momentum. Mathematically, it can be represented as:
Force = Change in momentum / Time
To solve this problem, we need to calculate the change in momentum of the baseball. The momentum of an object is given by its mass multiplied by its velocity:
Momentum = mass * velocity
Before the collision, the initial momentum of the baseball can be calculated as:
Initial momentum = mass * initial velocity
And after the collision, the final momentum of the baseball can be calculated as:
Final momentum = mass * final velocity
The change in momentum is then given by:
Change in momentum = Final momentum - Initial momentum
Finally, using the duration of the collision, which is given as 1.10 ms (or 0.00110 s), we can calculate the force of the bat on the baseball using the equation:
Force = Change in momentum / Time
Let's calculate the force:
First, convert the mass of the baseball to kilograms:
148 g = 0.148 kg
Initial momentum:
Initial momentum = 0.148 kg * 35.0 m/s = 5.18 kg·m/s
Final momentum:
Final momentum = 0.148 kg * 52 m/s = 7.696 kg·m/s
Change in momentum:
Change in momentum = Final momentum - Initial momentum
Change in momentum = 7.696 kg·m/s - 5.18 kg·m/s = 2.516 kg·m/s
Now, substitute the values into the equation to calculate the force:
Force = Change in momentum / Time
Force = 2.516 kg·m/s / 0.00110 s = 2287.27 N
Therefore, the force of the bat on the baseball is approximately 2287.27 Newtons.