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alejanndraax

Hi! Let's see.

TOPIC: Mass and Weight.

Explanation:

Data:

  • Force(F) = 850 N
  • Initial Velocity([tex]\bold{V_{0}}[/tex]) = 6 m/s
  • Final Velocity([tex]\bold{V_{f}}[/tex]) = 15 m/s
  • Time(t) = 5 s
  • Gravity(g) = 9.8 m/s²
  • Mass(m) = ?
  • Weight(w) = ?

==================================================================

In order to calculate the mass, we must first find the acceleration.

to find the acceleration, we apply the acceleration formula in UARM:

  • [tex]\boxed{\boxed{\bold{a=\frac{V_{f}-V_{0}}{t}}}}[/tex]

Replace per data:

  • [tex]\boxed{a=\frac{15\frac{m}{s}-6\frac{m}{s}}{5s}}}}[/tex]

We subtract in the numerator:

  • [tex]\boxed{a=\frac{9\frac{m}{s}}{5s}}}[/tex]

It divides:

  • [tex]\boxed{\bold{a=1.8\frac{m}{s^{2}}}}[/tex]

==================================================================

Mass

Knowing it's acceleration, we can proceed to calculate the mass, applying it's formula:

  • [tex]\boxed{\boxed{\bold{m=\frac{F}{a}}}}[/tex]

Replace:

  • [tex]\boxed{m=\frac{850N}{1.8\frac{m}{s^{2}}}}}}[/tex]

Newton equivalents to kilograms:

  • [tex]\boxed{m=\frac{850kg*\frac{m}{s^{2}}}{1.8\frac{m}{s^{2}}}}}}[/tex]

Simplify the m/s²:

  • [tex]\boxed{m=\frac{850kg}{1.8}}}[/tex]

It divides:

  • [tex]\boxed{\bold{m=472.22\ kg}}[/tex]

Answer: The mass of the body is 472.22 kilograms.

==================================================================

Weight

To calculate the weight, we use it's formula:

  • [tex]\boxed{\boxed{\bold{W=m*g}}}}}[/tex]

Replace:

  • [tex]\boxed{W=472.22*9.8\frac{m}{s^{2}}}}}[/tex]

It multiplies:

  • [tex]\boxed{\bold{W=4627.75\ N}}}}[/tex]

Answer: The weight of the body is 4627.75 Newtons.

Final Answer:

Mass = 472.22 kg

Weight = 4627.75 N.

Cordially Alejanndraax. Greetings!

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