Question

A shopper pushes a trolley with a force of 20 N. The trolley with a mass of 5 kg, moves at a uniform velocity of 1m * s ^ - 1 He then increases his force to accelerate the trolley. How much force should he apply in order to give the trolley an acceleration of 2m * s ^ - 2

Answer 1

To calculate the force required to give the trolley a specific acceleration, you can use Newton's second law of motion:

F=m⋅a

Step-by-step explanation:

Where:

�

F is the force applied (in newtons, N)

�

m is the mass of the trolley (in kilograms, kg)

�

a is the acceleration (in meters per second squared, m/s²)

In your case, the mass of the trolley is

�

=

5

 

kg

m=5kg and the desired acceleration is

�

=

2

 

m/s

2

a=2m/s

2

.

Plugging these values into the formula:

�

=

5

 

kg

⋅

2

 

m/s

2

=

10

 

N

F=5kg⋅2m/s

2

=10N

Therefore, the shopper should apply a force of 10 newtons in order to give the trolley an acceleration of

2

 

m/s

2

2m/s

2

.