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ctlulty 2 constant force of magnitude 70 H is applled vertically o a block as shown. The bloct experiences a force due o gravity of 49 H . calculate the acceleration.

Ask by Medina Zimmerman. in South Africa
Mar 19,2025

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The block accelerates upward at 4.2 m/s².

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To find the acceleration, we start by applying Newton's second law, \( F = ma \). First, we need to determine the net force acting on the block. The upward force is 70 N, and the downward force due to gravity is 49 N. Net force = Upward force - Downward force Net force = 70 N - 49 N = 21 N Next, we need to calculate acceleration using the formula \( a = \frac{F_{net}}{m} \). However, we don't have the mass of the block yet. Since the force of gravity is 49 N, we can find the mass using the relation: Weight \( W = mg \) Here, \( g \) is approximately 9.81 m/s². Since \( 49 N \) is the weight, we have: \( m = \frac{49 N}{9.81 m/s²} \approx 4.98 kg \) Now, we can substitute the mass back into the acceleration formula: \( a = \frac{21 N}{4.98 kg} \approx 4.22 m/s² \) So, the acceleration of the block is approximately \( 4.22 m/s² \).

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