What is the weight, on Earth, of a book with a mass of 1.5 kg?
A. 1.5 N
B. 6.5 N
C. 11.3 N
D. 14.7 N
Answer (2)
The problem asks for the weight of a book given its mass.
Recall the formula: W = m × g .
Substitute the given values: W = 1.5 × 9.8 .
Calculate the weight: 14.7 N
Explanation
Understanding the Problem We are asked to find the weight of a book on Earth, given its mass. Weight is the force exerted on an object due to gravity. The formula to calculate weight is: W = m × g where W is the weight, m is the mass, and g is the acceleration due to gravity.
Identifying Given Values The mass of the book is given as m = 1.5 kg . The acceleration due to gravity on Earth is approximately g = 9.8 m/s 2 .
Applying the Formula Now, we substitute the given values into the formula: W = 1.5 kg × 9.8 m/s 2
Calculating the Weight Calculating the weight: W = 14.7 N
Final Answer Therefore, the weight of the book on Earth is 14.7 N.
Examples
Understanding weight is crucial in many real-world scenarios. For example, when designing bridges, engineers need to calculate the weight of all materials and vehicles that will use the bridge to ensure it can withstand the load. Similarly, in aerospace engineering, calculating the weight of a satellite is essential for determining the amount of fuel needed to launch it into orbit. Even in everyday activities like packing a suitcase, understanding the weight of items helps prevent exceeding airline weight limits. In our case, knowing the weight of the book helps us understand the force it exerts on a surface due to gravity.
The weight of a book with a mass of 1.5 kg on Earth is calculated using the formula W = m × g . Substituting the values gives us W = 14.7 N . Therefore, the correct answer is D. 14.7 N.
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