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postnew [5]
3 years ago
13

A box weighs 1300 N. When a horizontal force of 390 N has applied the box accelerates at 1.3 m/s2. What is the magnitude of the

frictional force?
Physics
1 answer:
katrin [286]3 years ago
8 0

Answer:

Ffriction = 217.7[N]

Explanation:

First, we must find the mass of the box, we must remember that the weight is defined as the product of the mass by acceleration.

w=m*g

where:

w = weight [N] (units of Newtons)

m = mass [kg]

g = gravity acceleration = 9.81 [m/s²]

1300=m*9.81\\m=132.51[kg]

Now we must use Newton's second law, which tells us that the sum of forces is equal to the product of mass by acceleration.

∑F = m*a

where:

∑F sum of forces

m = mass = 132.51[kg]

a = acceleration = 1.3[m/s²]

We must know that the forces that act are the horizontal force that moves the box and the friction force in the negative direction that acts against the movement.

Now replacing:

390-f_{friction}=132.51*1.3\\390-172.26=f_{friction}\\f_{friction}=217.7[N]

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b)

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