A force of (2i+3j)N acts on a body of mass 1 kg which is at rest initially. What is the acceleration of the body?
Answers
A force of (2i + 3j) N acts on a body of mass 1kg which is at rest initially.
To find : The acceleration of the body.
solution : according to Newton's law of motion, force is the product of mass and acceleration.
i.e., F = ma , where m is mass of body and a is acceleration of that body.
here F = (2i + 3j) N , m = 1 kg
so, acceleration of the body, a = F/m
= (2i + 3j)/1
= (2i + 3j) m/s²
Therefore the magnitude of acceleration is √(2² + 3²) = √(13) = 3.6 m/s².
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Given,
- Force = (2i+3j)N
- Mass = 1kg
To Find:-
- Acceleration of a body.
Formula used:-
F = ma
F = Force
m=mass
a= acceleration.
Calculations:-
F =ma
a=F/m
now substitute the given values:-
= (2i + 3j)/1
= (2i + 3j) m/s²
=√(2² + 3²)
=.3.6 m/s²
The acceleration of the body is 3.6 m/s².