Question

Q24. A gun fires bullets each of mass 1 g with velocity of 10 m/s by exerting a
constant force of 5 gwt. Then the number of bullets fired per second is
(i)
5
(ii) 50
(iv) 100
(iii) 10​

Answer 1

Correct Question :

A gun fires bullets each of mass 1 g with velocity of 10 m/s by exerting a constant force of 5g wt. Then the number of bullets fired per second is

i. 5

ii. 50

iii. 10

iv. 100

Solution :

Mass of the gun (m) = 1 g = 10⁻³ kg

Force (F) = 5g wt = 50 × 10⁻³ N

Velocity of the bullet (v) = 10 m/s

Time (t) = 1 s

➠ F = ΔP / Δt

➠ mg = nmv / t

➠ 50 × 10⁻³  = n ( 10⁻³ ) ( 10 ) / (1)

➠ 50 = 10n

➠ 10n = 50

➠ n = 5  $\orange{\bigstar}$

Option i

Answer 2

Given :

• A gun fires bullets each of mass 1 g with velocity of 10 m/s by exerting a constant force of 5g wt.

　

To find :

• What is the number of bullets fired per second.

　

According or the question :

• We need to take 1g into kg ans g wt into N units.

　

1. Mass = 1 g → 10^-3 kg.
2. Force = 5g wt → 50 × 10^-3 N.

　

Using formula

★ mg = nmv/t.

　

Calculations :

→ 50 × 10^-3 = n (10^-3) (10)/1

→ 50 = 10n

→ 10n = 50

→ n = 50/10

→ n = 5

　

Therefore, number of bullets is equal to 5.