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Question 5
A large crate has a mass of 214 kg. A horizontal force of positive 214 N is applied to it, causing it to accelerate at 0.130 m/s2 horizontally. What is the force of friction opposing the motion of the crate? Use the correct sign to indicate the direction of the force of friction. It is the sole force opposing the crate's motion in this direction. Assume the applied force is to the right and right is defined as the positive direction.
net force to right= mass*net acceleration to the right
214+Ff=mass*.130=214*.130
Ff=27.82-214= -186 N (and the sign is -, meaning to the left)
To find the force of friction opposing the motion of the crate, you can use the equation:
Force of friction = (mass of the crate) * (acceleration of the crate)
In this case, the mass of the crate is given as 214 kg, and the acceleration of the crate is given as 0.130 m/s^2.
So, the force of friction = (214 kg) * (0.130 m/s^2).
To calculate this, you need to multiply 214 kg by 0.130 m/s^2. The result will give you the force of friction opposing the motion of the crate.
You can use a calculator or perform the multiplication manually. The result will be the force of friction in Newtons. Remember to pay attention to the sign, as the question asks for the direction of the force of friction.