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TiliK225 [7]
3 years ago
14

A 900 N crate is being pulled across a level floor by a force F of 340 N at an angle of 23° above the horizontal. The coefficien

t of kinetic friction between the crate and the floor is 0.25. Find the magnitude of the acceleration of the crate.
Physics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

0.958891203 m/s²

Explanation:

N = Weight of crate = 900 N

\mu = Coefficient of friction = 0.25

Force of friction acting on the force applied

f=\mu N\\\Rightarrow f=0.25\times 900\\\Rightarrow f=225\ N

Force used to pull the crate

F=340cos 23\\\Rightarrow F=312.97165\ N

The net force is

F_n=F-f\\\Rightarrow F_n=312.97167-225\\\Rightarrow F_n=87.97167\ N

Acceleration is given by

a=\frac{F_n}{m}\\\Rightarrow a=\dfrac{87.97167}{\dfrac{900}{9.81}}\\\Rightarrow a=0.958891203\ m/s^2

The magnitude of the acceleration of the crate is 0.958891203 m/s²

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Answer:

a) Pi,c = 1066 kgm/s

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Given:-

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                       Pi,c = vpi* ( mc + mp)

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                       Pi,b = 0.0075 kgm/s  

- We will consider the bicycle, the passenger and the bug as a system in isolation on which no external unbalanced forces are acting. This validates the use of linear conservation of momentum.

- The bicycle, passenger and bug all travel in the (+x) direction after the bug splatters on the helmet.

                       Pi = Pf

                       Pi,c + Pi,b = V*(mb + mc + mp)

Where,    V : The velocity of the (bicycle, passenger and bug) after collision.

                      1066 + 0.0075 = V*( 0.005 + 12 + 70 )

                      V = 1066.0075 / 82.005

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- The change in velocity is Δv = 13 - 12.9993 =  - 0.00070 m/s      

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                      1066 - 0.0075 = V*( 0.005 + 12 + 70 )

                      V = 1065.9925 / 82.005

                      V = 12.99911 m/s

- The change in velocity is Δv = 13 - 12.99911 =  -0.00088 m/s      

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