## Problem StatementOnly two forces act on an object (mass = 4.96 kg), as shown in the drawing. Find the (a) magnitude and (b) direction (relative to the x-axis) of the acceleration of the object.## Diagram ExplanationIn the diagram, a wooden block is subjected to two forces:- A downward force of 60.0 N acts along the negative y-axis.- A horizontal force of 40.0 N acts along the positive x-axis.Both forces are represented with arrows originating from the center of the block, indicating the direction and magnitude of each force.### Questions(a) Find the magnitude of the acceleration.- Input Field: Number- Units Dropdown: Select units from the dropdown menu (e.g., m/s²).(b) Find the direction of the acceleration relative to the x-axis.- Input Field: Number- Units Dropdown: Select units from the dropdown menu (e.g., degrees).### How to Solve1. **Calculate the resultant force:** Since the forces are perpendicular to each other, we can use the Pythagorean theorem to find the resultant force (F): \[ F = \sqrt{(F_x)^2 + (F_y)^2} \] where \( F_x = 40.0 \text{ N} \) and \( F_y = -60.0 \text{ N} \).2. **Calculate the magnitude of the acceleration (a):** Use Newton's second law \( F = ma \): \[ a = \frac{F}{m} \] where \( m = 4.96 \text{ kg} \).3. **Calculate the direction of the acceleration (θ) relative to the x-axis:** The direction θ can be found using trigonometry: \[ \theta = \tan^{-1} \left( \frac{F_y}{F_x} \right) \]### Input Fields- (a) Magnitude of the acceleration - Numerical input for the calculated magnitude. - Select appropriate units from the dropdown.- (b) Direction of the acceleration - Numerical input for the calculated direction. - Select degrees or other appropriate units from the dropdown.

Name: ## Problem StatementOnly two forces act on an object (mass = 4.96 kg)
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Description: ## Problem StatementOnly two forces act on an object (mass = 4.96 kg), as shown in the drawing. Find the (a) magnitude and (b) direction (relative to the x-axis) of the acceleration of the object.## Diagram ExplanationIn the diagram, a wooden block

two force acting on an object of mass'm'=4.96kg.we need to find magnitude and angle of…

Science

Physics

Only two forces act on an object (mass = 4.96 kg), as in the drawing. Find the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the object. (a) Number i (b) Number i Units Units +y 60.0 N 40.0 N

Only two forces act on an object (mass = 4.96 kg), as in the drawing. Find the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the object. (a) Number i (b) Number i Units Units +y 60.0 N 40.0 N

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section5.7: Some Specific Forces

Problem 5.9CE: For all three situations, find the magnitude and direction of the tension force(s) exerted on...

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