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a net force of 100 Newton's is applied to a 20-kilogram cart that is already moving at 3 meters per second. The final speed of the cart was 8 meters per second. For how long was the force applied?​

Respuesta :

Answer:

The Force is applied for 1 sec

Step-by-step explanation:

Given as :

The Total force applied on cart = 100 Newton

The mass of cart                         = 20 kg

The initial velocity of  cart ( v1)   = 3 meter per second

The final velocity of cart (v2)      = 8 meter per second

∵ Force = mass × acceleration

Or, 100 N = 20 kg × acceleration

Or,  Acceleration = [tex]\frac{100}{20}[/tex]

Or,  Acceleration = 5 Newton per kg

Again ∵   Acceleration = Rate of change of velocity

I.e           Acceleration = [tex]\frac{v2 - v1}{t}[/tex]

Or,           5 Newton per kg =   [tex]\frac{8 -3 }{t}[/tex]

Or,           Time     =   [tex]\frac{5}{5}[/tex] = 1 sec

Hence The Force is applied for 1 sec   Answer

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