Question

What is the mass of the cart with a constant net force of 200N is exerted to accelerate from rest to a velocity of 40m/s in 10 s

Answer 1

⭐Given:

• Force(f) = 200 N

• Initial Velocity (u) =0 m/s

• Final velocity (v) = 40 m/s

• Time (t) = 10s

⭐ To Find:

• Mass of the car=?

⭐Solution:

: . v=u+at

: . 40=0+a×10

: . 40=10a

: . a=40/10

; . a=4 m/s²

Now,

Force (f) =mass ×acceleration

: . 200=mass× 4

: .mass= 200/4

: . mass = 50 kg

Therefore , The mass of the car is 50 kg

Answer 2

Given:-

• Force exerted = 200N

• Initial Velocity = 0m/s

• Final Velocity = 40m/s

• Time taken = 10s

To Find:-

• Mass of the cart.

Formulae used:-

• v = u + at
• F = ma

Where,

• v = Final Velocity
• u = Initial Velocity
• a = Acceleration
• t = Time
• F = Force
• m = Mass

Now,

→ v = u + at

→ 40 = 0 + a × 10

→ 40 = 10a

→ a = 40/10

→ a = 4m/s²

Hence, The accceleration Produced by force is 4m/s²

Therefore,

→ F = ma

→ 200 = m × 4

→ 200 = 4m

→ m = 200/4

→ m = 50kg.

Hence, The mass of Cart is 50kg.