Answered

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A toddler is holding a toy with a mass of 1.1 kg when another toddler
decides that she wants it. The first toddler pulls horizontally with a
force of 2.5 N and the second toddler pulls horizontally with a force of
3.1 N in the opposite direction. What is the horizontal acceleration of
the toy?

Sagot :

resultant force=3.1-2.5=0.6N

force=mass*acceleration

therefore acceleration=f/m

=0.6/1.1=0.5454m/s

The horizontal acceleration of a 1.1 kg toy pulled by a first toddler with a force of 2.5 N and by a second toddler with a force of 3.1 N in the opposite direction is 0.55 m/s².

To find the horizontal acceleration of the toy, we need to calculate the resultant force.

[tex] F_{net} = F_{1} + F_{2} [/tex]

Where:

F₁: is the pulling force of the first toddler = 2.5 N

F₂: is the pulling force of the second toddler = 3.1 N

Taking the direction of the second force as the positive direction, we have:

[tex] F_{net} = -F_{1} + F_{2} = (-2.5 + 3.1) N = 0.6 N [/tex]

Now, we can find the acceleration

[tex] F_{net} = ma[/tex]

Where:

m: is the mass = 1.1 kg

The acceleration is:

[tex] a = \frac{F_{net}}{m} = \frac{0.6 N}{1.1 kg} = 0.55 m/s^{2} [/tex]

Therefore, the horizontal acceleration of the toy is 0.55 m/s².

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