If a constant force of 800 N produces an acceleration of 5 m/s2 in a

1.	If a constant force of 800 N produces an acceleration of 5 m/s2 in a body, what is its mass? If the body starts from rest, how much distance will it travel in 10 s?
Answer» Given: F = 800 N, a = 5 m/s², u = 0, t = 10 s To find: mass (m), distance travelled (s) Formulae: i. F = ma ii. s = ut + \(\frac{1}{2}\)at² Calculation: From formula (i), ∴ m = \(\frac{F}{a}=\frac{800}{5}\) = 160 kg From formula (ii), s = \(\frac{1}{2}\) × 5 × (10)² [∵ u = 0] ∴ s = 250 m Mass of the body is 160 kg and the distance travelled by the body is 250 m.

If a constant force of 800 N produces an acceleration of 5 m/s2 in a body, what is its mass? If the body starts from rest, how much distance will it travel in 10 s?

Answer»

Given: F = 800 N, a = 5 m/s², u = 0, t = 10 s

To find: mass (m), distance travelled (s)

Formulae:

i. F = ma

ii. s = ut + \(\frac{1}{2}\)at²

Calculation:

From formula (i),

∴ m = \(\frac{F}{a}=\frac{800}{5}\) = 160 kg

From formula (ii),

s = \(\frac{1}{2}\) × 5 × (10)² [∵ u = 0]

∴ s = 250 m

Mass of the body is 160 kg and the distance travelled by the body is 250 m.