Question

Using GRESA method
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 10s

Answer 1

Answer:

Problem:

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 10s.?

Note:

We must first determine the acceleration before we can solve for mass.

Given Data:

F ( Force ) = 200 N or 200 kg·m/s²

Vi ( initial velocity ) = 0 m/s (at rest)

Vf ( final velocity ) = 40 m/s

t ( time ) = 10 s

Solution in solving for acceleration:

a = (Vf-Vi) / t

= 40 m/s - 0 m/s / 10 s

= 40 m/s / 10 s

= 4 m/s²

Solving for Mass:

m = F / a

= 200 kg·m/s² / 4 m/s²

= 50 kg

Answer:

The mass of the cart is equal to 50 kg

Answer 2

Given: A net force of 200N is exerted to accelerate from rest to a velocity of 40 m/s in 10s.

To find: Mass of the cart

Solution: Let the force be denoted by F, final velocity be v, initial velocity be u, acceleration be a and time be t.

F= 200 N

v= 40 m/s

u= 0 (object is at rest)

t= 10 s

Using kinematics equation:

v-u = a×t

=> 40-0 = a × 10

=> a = 40/10

=> a = 4 m/s^2

Force exerted on a body is equal to product of the mass of the body and its acceleration.

Force = Mass × Acceleration

=> F = m × a

=> 200 = m × 4

=> m = 200/4

=> m = 50 kg

Therefore, the mass of the cart is 50 kg.