A 250 kg object is subjected to a horizontal force of 600 N. If the coefficient

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Question: A 250 kg object is subjected to a horizontal force of 600 N. If the coefficient of friction is 0.5, will the object move?

Options:

Yes
No
Depends on the surface
Not enough information

Correct Answer: Yes

Solution:

The maximum static friction force Ff = μs * N = 0.5 * (250 kg * 9.81 m/s²) = 1226.25 N. Since the applied force (600 N) is less than the frictional force (1226.25 N), the object will not move.

A 250 kg object is subjected to a horizontal force of 600 N. If the coefficient

Practice Questions

A 250 kg object is subjected to a horizontal force of 600 N. If the coefficient of friction is 0.5, will the object move?

Yes
No
Depends on the surface
Not enough information

Questions & Step-by-Step Solutions

A 250 kg object is subjected to a horizontal force of 600 N. If the coefficient of friction is 0.5, will the object move?

Step 1: Identify the mass of the object, which is 250 kg.
Step 2: Calculate the weight of the object using the formula: Weight (N) = mass (kg) * gravity (m/s²). Here, gravity is approximately 9.81 m/s².
Step 3: Calculate the weight: Weight = 250 kg * 9.81 m/s² = 2452.5 N.
Step 4: Identify the coefficient of friction, which is 0.5.
Step 5: Calculate the maximum static friction force using the formula: Ff = μs * N, where N is the normal force (which is equal to the weight in this case).
Step 6: Substitute the values: Ff = 0.5 * 2452.5 N = 1226.25 N.
Step 7: Compare the applied force (600 N) with the maximum static friction force (1226.25 N).
Step 8: Since the applied force (600 N) is less than the maximum static friction force (1226.25 N), the object will not move.

Friction – Understanding the forces acting on an object, particularly static friction and how it relates to applied forces.
Newton's Second Law – Applying the concept of force, mass, and acceleration to determine the motion of an object.
Coefficient of Friction – Using the coefficient of friction to calculate the maximum static friction force that can act on an object.

A 250 kg object is subjected to a horizontal force of 600 N. If the coefficient

What’s inside this PDF?

A 250 kg object is subjected to a horizontal force of 600 N. If the coefficient

Practice Questions

Questions & Step-by-Step Solutions

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