We will use the same equation to solve for both problems and that equation is of force, it states that net force applied on a body is equal to the acceleration produced by the body multiplued by the mass of body...
[tex] \mathcal{F= \mathfrak{ m \times a}}[/tex]
Problem 1 :
If a 5kg bowling ball is rolled down the bowling lane with 2.5 N of force, how fast will it accelerate?
Mass = 5 kg
Force = 2.5 N
Acceleration = ?
- [tex] \sf \rightharpoonup \pink{2.5 = 5 \times a}[/tex]
- [tex] \sf \rightharpoonup \pink{2.5 = 5 a}[/tex]
- [tex]\sf \rightharpoonup \pink{5a = 2.5}[/tex]
- [tex]\sf \rightharpoonup \pink{a = 0.5}[/tex]
➪ Thus, The acceleration produced by the ball is 0.5 m/s²
Problem 2 :
If the same bowler uses the same force but now has a 2.5 kg bowling ball, how fast will it accelerate?
Mass = 2.5 kg
Force = 2.5 N
Acceleration = ?
- [tex]\sf \rightharpoondown\purple{2.5 = 2.5 \times a}[/tex]
- [tex]\sf \rightharpoondown\purple{2.5 = 2.5 a}[/tex]
- [tex]\sf \rightharpoondown\purple{2.5a = 2.5 }[/tex]
- [tex]\sf \rightharpoondown\purple{a = 1 }[/tex]
➪ Thus, The acceleration produced by the ball is 1 m/s²
