a particle of mass 1kg is subjected to three forces 10n,10n,6n,what is the accelertion of mass
Answers
Explanation:
maas m = 1kg
(i) force f = 10 N
since f=ma
so a=f/m
a=10/1=10m/s^2
(ii) a=6/1=6m/s^2
The acceleration of the particle is 26 m/s².
Given: A particle of mass 1 kg is subjected to three forces 10 N, 10 N, and 6 N.
To Find: The acceleration of the particle.
Solution:
- Force can be described as the push or pull on an object with mass that causes it to change its velocity.
- Force is a vector quantity and the SI unit of force is newton (N) or kg.m/s².
- Force is also the product of the mass of the body and the acceleration of the body. This can be represented by the formula,
∑ F = m × a ...(1)
When ∑ F = the summation of the forces, m = mass of the body, a = acceleration of the body.
Coming to the numerical,
It is said that a particle of mass 1 kg is subjected to three forces 10 N, 10 N, and 6 N. Since it is not mentioned so we assume that all the forces act in the same direction.
The mass of the particle = 1 kg
Putting respective values in (1), we get;
∑ F = m × a
⇒ ( 10 + 10 + 6 ) = 1 × a
⇒ a = 26 m/s²
Hence, the acceleration of the particle is 26 m/s².
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