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An object having 10 kg mass weighs 9.81kg on a spring balance. The value of ‘g’ at this place is
Answer & Solution
Correct Answer:
Option
B
Weight (W) is the force exerted by gravity on an object and is given by the formula W = m * g
Here, the mass (m) of the object is 10 kg
The weight of the object as measured by the spring balance is 9.81 kg (which is actually a measure of force in newtons but given in kg for simplicity)
To find the acceleration due to gravity (g) at this place, we use the formula:
g = W / m
Substituting the given values:
g = 9.81 kg / 10 kg
g = 9.81 m/sec2
Therefore, the value of 'g' at this place is 9.81 m/sec2
Here, the mass (m) of the object is 10 kg
The weight of the object as measured by the spring balance is 9.81 kg (which is actually a measure of force in newtons but given in kg for simplicity)
To find the acceleration due to gravity (g) at this place, we use the formula:
g = W / m
Substituting the given values:
g = 9.81 kg / 10 kg
g = 9.81 m/sec2
Therefore, the value of 'g' at this place is 9.81 m/sec2
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Login10 x 9.81=9.81xg'
g'=10 m/s²
Now,
Mass = 10 kg
Weight =9.81kg = 96.86 N
Therefore, (g) = 96.86/10 = 9.687 m/sec^2
We know mass is universal for an object it is the weight that vary.
In question it says mass (since both in kilogram not newton) at one place and another place its different due to different value of g and we have find that different value of g.
This contradict laws of Physics
Although if we consider mass as variable than g comes to be 10 m/sec
By, say 10kg x 9.81m/sec²= 981 N
While measuring in spring balance 9.81 kg(which is not possible)x g m/sec ² = 9.8 g
comparing both we get value of g as 10m/se
For eg : If we measure 10kg rice at earth and 10 kg at moon in both case value of weight is different.
i.e-m×g=10×9.81=98.1
=(98.1)÷(9.81)=10m/sec square