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pishuonlain [190]
4 years ago
14

A crate (weight 292 N) is pushed 3.75 m up a 20.0° incline with a force of 125 N. The force of friction on the box is 25.0 N.

Physics
1 answer:
Firlakuza [10]4 years ago
7 0

The acceleration of the box is 4.37\cdot 10^{-3} m/s^2

Explanation:

The acceleration of the crate can be found by analyzing the forces acting along the  direction parallel to the incline. We have three forces:

  • The force of push, F = 125 N, pushing up along the incline
  • The  force of friction, F_f = 25.0 N, acting down along the incline
  • The component of the weight parallel to the incline, W sin \theta, also acting downward

Taking into account the direction of each force, the equation of motion along this direction is:

F-F_f -W sin \theta = ma

where

F = 125 N

F_f = 25.0 N

W=292 N is the weight of the crate

\theta=20.0^{\circ} is the angle of the incline

m=\frac{W}{g}=\frac{292}{9.8}=29.8 kg is the mass of the box

a is the acceleration

And solving for a, we find:

a=\frac{F-F_f - Wsin \theta}{m}=\frac{125-25-(292)(sin 20^{\circ})}{29.8}=4.37\cdot 10^{-3} m/s^2

Learn more about forces and acceleration:

brainly.com/question/11411375

brainly.com/question/1971321

brainly.com/question/2286502

brainly.com/question/2562700

#LearnwithBrainly

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To solve this problem, we can use the cosine formula for calculating the length of the displacement:

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