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What is the magnitude of the normal force on the bag?
Answer in units of N.

Please help What is the magnitude of the normal force on the bag? Answer in units-example-1
User BrrBr
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2 Answers

1 vote

Final answer:

The magnitude of the normal force on the bag is 409 Newtons (N), which is calculated based on the bag's weight and subtracting other forces acting on it as per the free-body diagram.

Step-by-step explanation:

The question asks about the magnitude of the normal force on a bag. According to the given free-body diagram equation F; + N = W, the normal force N can be calculated using the weight of the bag and the other forces acting on it. The equation provided shows that the normal force is N = (45.0 kg)(9.80 m/s²) — 32.4 N = 409 N, where 409 N is the force that the wheel exerts on the ground as per Newton's third law. This calculation is based on a gravitational acceleration of 9.80 m/s² and a subtracted force of 32.4 N from the total weight (given by the mass times gravity).

User Ten Bitcomb
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4.5k points
12 votes

Answer:

41.576 N

Step-by-step explanation:

Resolving force in the inclined plane in the x and y directions gives us;

F_x = mg sin θ

F_y = mg cos θ

Thus;

F_x = 4.8 × 9.81 × sin 28

F_x = 22.106 N

F_y = 4.8 × 9.81 × cos 28

F_y = 41.576 N

We can use Newton's second law to find the normal force.. Thus;

N - F_y = 0.

Where N is normal force;

N = 41.576 N

User Shanewaj
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4.1k points