Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a bowling ball rolled with a force of 15 n accelerates at a rate of 3 m…

Question

a bowling ball rolled with a force of 15 n accelerates at a rate of 3 m / sec²; a second ball rolled with the same force accelerates 4 m / sec². what are the masses of the two bowling balls?
options:

  • ball #1: 50 kg ball #2: 31.75 kg
  • ball #1: 5 kg ball #2: 3.75 kg
  • ball #1: 5 n ball #2: 3.75n
  • ball #1: 15 kg ball #2: 13.75 kg

Explanation:

Step1: Aplicar F=ma, despejar m

$m = \frac{F}{a}$

Step2: Calcular masa 1

$m_1 = \frac{15\ \text{N}}{3\ \text{m/s}^2} = 5\ \text{kg}$

Step3: Calcular masa 2

$m_2 = \frac{15\ \text{N}}{4\ \text{m/s}^2} = 3.75\ \text{kg}$

Answer:

ball #1:5 kg ball #2: 3.75 kg