Respuesta :
Weight = (mass) x (acceleration of gravity) .
45 N = (15 kg) x (acceleration of gravity) .
Divide each side by (15 kg):
Acceleration of gravity = (45 N) / (15 kg)
= 3 m/s² .
The acceleration due to gravity at the place where the weight of the body is [tex]45\,{\text{N}}[/tex] is [tex]\boxed{3\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace}{{{\text{s}}^{\text{2}}}}}}[/tex] .
Further Explanation:
Given:
The mass of the body is [tex]15\,{\text{kg}}[/tex] .
The weight of the body is [tex]45\,{\text{N}}[/tex] .
Concept:
The weight of an object or a body is the measure of the force of the gravity or the Earth’s gravitational force acting on the body. It is the amount of force with which the body is being pulled towards the center of the Earth.
The weight of the body is expressed as the product of the mass and the acceleration due to gravity on the surface.
The expression for the Weight of any body is written as:
[tex]\boxed{W=mg}[/tex]
Here, [tex]W[/tex] is the weight of the body, [tex]m[/tex] is the mass and [tex]g[/tex] is the acceleration due to gravity.
Substitute the values of mass and the weight in above expression.
[tex]\begin{aligned}45&=15\timesg\\g&=\frac{{45}}{{15}}\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace}{{{\text{s}}^{\text{2}}}}}\\&=3\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace}{{{\text{s}}^{\text{2}}}}}\\\end{aligned}[/tex]
Thus, the acceleration due to gravity at the place where the weight of the body is [tex]45\,{\text{N}}[/tex] is [tex]\boxed{3\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace} {{{\text{s}}^{\text{2}}}}}}[/tex] .
Learn More:
1. A 30.0-kg box is being pulled across a carpeted floor by a horizontal force of 230 N https://brainly.com/question/7031524
2. A horizontal rope is tied to a 50 kg box https://brainly.com/question/2416204
3. Why is it important to define a frame of reference https://brainly.com/question/526888
Answer Details:
Grade: High School
Subject: Physics
Chapter: Newton’s law of Motion
Keywords:
Weight, mass, acceleration due to gravity, gravity at the location, weighs 45 newtons, 15 kilogram, w=mg, g=3m/s^2, weight of the object.
