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Answer :
Final answer:
To calculate the weight of the box, you must first determine the friction force by subtracting the net force from the force applied by Jonathan. The weight of the box equals this friction force.
Explanation:
To find the weight of the box, we first need to figure out the force of friction acting on the box. The net force acting on the box is the difference between the force Jonathan is applying and the force of friction. Given that the net force is 70 N and Jonathan is pushing with a force of 135 N, we can calculate the friction force using the formula: Friction Force = Force applied by Jonathan - Net Force. By substituting the given values, the friction force is calculated to be 65N.
To calculate the weight of the box, we can use the equation W = m * g, where W is the weight, m is the mass, and g is the acceleration due to gravity. Since the net force is the overall force acting on the box, we can use Newton's second law, F = m * a, to find the acceleration of the box. We can then substitute this value into the weight equation to solve for the weight.
Given:
Force by Jonathan (FJonathan): 135 N
Net force (Fnet): 70 N
Mass of the box (m): 25 kg
Unknown friction force (Ffriction): ?
To solve for the weight of the box, we can use the following steps:
Calculate the acceleration of the box using Newton's second law: Fnet = m * a
Substitute the acceleration into the weight equation: W = m * g
Solve for the weight
By following these steps, you can find the weight of the box.
Since Jonathan is pushing the box on a flat surface, the friction force is equal to the weight of the box. Therefore, the weight of the box is 65 N. However, if you want to find the mass of the box in kg, remember that weight is the product of mass and acceleration due to gravity (9.8 m/s²), so the mass of the box can be calculated as Mass = Weight / Gravity. Hence, the mass of the box is approximately 6.63 kg, not 25 kg.
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