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The mass of the body is 60 kg, if value ...

The mass of the body is 60 kg, if value of acceleration due to gravity is `10 ms^(-2)` and weight of the body is `x xx 10^(2)` N. Find x.

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To solve the problem, we need to find the value of \( x \) in the expression for the weight of the body, which is given as \( x \times 10^2 \) N. We know the mass of the body and the acceleration due to gravity, so we can use the formula for weight. ### Step-by-Step Solution: 1. **Understand the Formula for Weight**: The weight \( W \) of an object can be calculated using the formula: \[ W = m \times g \] where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity. 2. **Substitute the Given Values**: Here, the mass \( m = 60 \, \text{kg} \) and the acceleration due to gravity \( g = 10 \, \text{m/s}^2 \). Substitute these values into the formula: \[ W = 60 \, \text{kg} \times 10 \, \text{m/s}^2 \] 3. **Calculate the Weight**: Now, perform the multiplication: \[ W = 600 \, \text{N} \] 4. **Express Weight in the Given Format**: The problem states that the weight can also be expressed as \( x \times 10^2 \) N. We know from our calculation that: \[ W = 600 \, \text{N} = 6 \times 10^2 \, \text{N} \] 5. **Identify the Value of \( x \)**: From the expression \( 6 \times 10^2 \, \text{N} \), we can see that \( x = 6 \). ### Final Answer: Thus, the value of \( x \) is: \[ \boxed{6} \]

To solve the problem, we need to find the value of \( x \) in the expression for the weight of the body, which is given as \( x \times 10^2 \) N. We know the mass of the body and the acceleration due to gravity, so we can use the formula for weight. ### Step-by-Step Solution: 1. **Understand the Formula for Weight**: The weight \( W \) of an object can be calculated using the formula: \[ W = m \times g ...
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