Final Velocity Calculation for a Struck Ball

In summary, when a 180 g ball is struck by a bat moving in the opposite direction, the graph (Figure 8.37) shows that the Impulse is 10 Ns. However, when calculating the final velocity of the ball, the textbook answer of 45.555 was different from the calculated value of 65.55. It was later realized that the relative velocity of the ball and bat should be v+10 rather than v-10.
  • #1
Procrastinate
158
0
When a ball of mass 180 g is struck by a bat moving in the opposite direction,
the force acting on the ball is as shown in the graph (Figure 8.37). Determine
The final velocity of the ball if it was initially moving at
10.0 m s–1 south.

The graph depicted the Impulse as 10Ns (I checked the textbook and it was right)

However, when I calculated the final velocity, I got 65.55 and the answer in the textbook was 45.555

Ft = m(v-u)
10 = 0.180(v-10)
65.55 = v

Unless the Impulse is equation is Ft = m(u-v), i don't know how I got the answer wrong...
 
Physics news on Phys.org
  • #2
Since the ball and the bat are moving in opposite directions, the relative velocity is v+10 not v-10 as you have.
 

FAQ: Final Velocity Calculation for a Struck Ball

What is impulse and momentum?

Impulse and momentum are two fundamental concepts in physics that describe the motion of an object. Impulse is the product of force and time, while momentum is the product of mass and velocity. Both impulse and momentum are vector quantities, meaning they have both magnitude and direction.

What is the difference between impulse and momentum?

The main difference between impulse and momentum is that impulse is a measure of the change in an object's momentum, while momentum is a measure of an object's quantity of motion. Additionally, impulse is a time-dependent quantity, whereas momentum is a time-independent quantity.

How are impulse and momentum related?

Impulse and momentum are directly related to each other through Newton's second law of motion, which states that the net force acting on an object is equal to the rate of change of its momentum. In other words, impulse is the cause of a change in momentum.

What is the unit of measurement for impulse and momentum?

The SI unit of measurement for impulse is newton-second (Ns), while the SI unit for momentum is kilogram-meter per second (kg·m/s). In some cases, the unit of measurement for momentum is also written as newton-second (Ns), as both quantities have the same dimensions.

Why are impulse and momentum important?

Impulse and momentum are important because they help us understand and predict the motion of objects in various situations. They are particularly useful in analyzing collisions, explosions, and other interactions between objects. These concepts are also crucial in the design of structures and vehicles, such as cars and spacecraft.

Back
Top