Prelab 3: Consider the following triangular-shaped graph of force vs. time for a
ID: 1582417 • Letter: P
Question
Prelab 3: Consider the following triangular-shaped graph of force vs. time for a baseball struck by a bat. 13500 sooo 4500 3 Time (ms a.) What units does the "base" of the triangle have? What units does the "height of the triangle have? What units does the area under the triangular curve have? What physical quantity does the area under the curve represent here? b.) What is the impulse delivered to the ball? c.) If the ball has a mass of 0.25 kg, what is the change in velocity of the ball? Prelab 4: Again, consider the graph in the previous question. What is the average force exerted on the ball? What is the maximum force exerted on the ball?Explanation / Answer
3)a)The unit of the base of the triangle is s (from the graph). The unit of the height of the tringle is N(from the graph). The area under the curve has unit Ns. The area under the curve denotes the impulse given to the ball.
b)The impulse given to the ball = area under the curve = 0.5*height*base
=0.5*(18000)*(2.5-1)*10^-3
=13.5 Ns
c)let the initial speed of the ball be u and the final be v.so,
mu + 13.5 = mv
or m(v-u)=13.5
or v-u = 13.5/m
=54 m/s
4)average force = change in momentum/time
=13.5/(1.5*10^-3)
=9000 N
maximum force = 18000N (from the graph)