Question

1. calculate the force required to move each type of sports ball listed at an acceleration of 8 m/s².

round to the nearest tenth.

sports ball type	mass (kg)	acceleration (m/s²)	force in newtons (n)
tennis	0.057	8
baseball	0.142	8
lacrosse	0.150	8
field hockey	0.156	8
softball	0.180	8
volleyball	0.270	8
football	0.397	8
soccer	0.430	8
basketball	0.624	8

Explanation:

Step1: Recall Newton's second - law formula

$F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration.

Step2: Calculate force for golf ball

$F_{golf}=m_{golf}\times a = 0.046\times8=0.368\approx0.4$ N

Step3: Calculate force for tennis ball

$F_{tennis}=m_{tennis}\times a = 0.057\times8 = 0.456\approx0.5$ N

Step4: Calculate force for baseball

$F_{baseball}=m_{baseball}\times a=0.142\times8 = 1.136\approx1.1$ N

Step5: Calculate force for lacrosse ball

$F_{lacrosse}=m_{lacrosse}\times a = 0.150\times8=1.2$ N

Step6: Calculate force for field hockey ball

$F_{field - hockey}=m_{field - hockey}\times a=0.156\times8 = 1.248\approx1.2$ N

Step7: Calculate force for softball

$F_{softball}=m_{softball}\times a=0.180\times8 = 1.44\approx1.4$ N

Step8: Calculate force for volleyball

$F_{volleyball}=m_{volleyball}\times a=0.270\times8 = 2.16\approx2.2$ N

Step9: Calculate force for football

$F_{football}=m_{football}\times a=0.397\times8 = 3.176\approx3.2$ N

Step10: Calculate force for soccer ball

$F_{soccer}=m_{soccer}\times a=0.430\times8 = 3.44\approx3.4$ N

Step11: Calculate force for basketball

$F_{basketball}=m_{basketball}\times a=0.624\times8 = 4.992\approx5.0$ N

Answer:

Sports Ball Type	Force in Newtons (N)
Tennis	0.5
Baseball	1.1
Lacrosse	1.2
Field Hockey	1.2
Softball	1.4
Volleyball	2.2
Football	3.2
Soccer	3.4
Basketball	5.0