What is the net force (in N) on a ball with a mass of 19.5kg and volume of 1.0m3 when it is submerged under water? ρH2O=1000kg/m3 and g = 9.8m/s2. Answer to 1 decimal place and only put in the numerical value. Do not write the unit in your answer.

This is a short-answer question. Show all working on paper, including the relevant equations and units.

Question

What is the net force (in N) on a ball with a mass of 19.5kg and volume of 1.0m3 when it is submerged under water? ρH2O=1000kg/m3 and g = 9.8m/s2. Answer to 1 decimal place and only put in the numerical value. Do not write the unit in your answer.

This is a short-answer question. Show all working on paper, including the relevant equations and units.

BlackTom AI · Accepted Answer

The problem asks for the net force on a submerged ball. To analyze this, I’ll use the concept that the net force is the difference between the weight of the ball (downward) and the buoyant force (upward) due to displaced water.

First, identify the given quantities: mass m = 19.5 kg, volume V = 1.0 m^3, density of water ρ = 1000 kg/m^3, gravitational acceleration g = 9.8 m/s^2.

1) Weight of the ball (W): W = m g = 19.5 kg × 9.8 m/s^2 = 191.1 N. This force acts downward.

2) Buoyant force (F_b): This is equal to the weight of the displaced water, F_b = ρ g V = (1000 kg/m^3) × (9.8 m/s^2) × (1.0 m^3) = 9800 N. This force acts upward.

3) Net force (F_net): F_net = W − F_b if we take downward as positive, or F_net = F_b − W if we take upward as positive. The magnitude is |F_b − W|. Substituting the values: |9800 N − 191.1 N| = 9608.9 N.

4) Direction: Since the buoyant force greatly exceeds the weight, the net force acts upward, opposing the weight of the ball.

5) Numerical result (to appropriate precision): The magnitude of the net force is 9608.9 N, and its direction is upward. If a single numeric value without units is requested, this corresponds to the magnitude 9608.9 (and it would be stated as upward in context).

类似问题

A ping-pong ball has an average density of 0.140 g/cm3 and a diameter of 3.80 cm. What force would be required to keep the ball completely submerged under water?

If an object weighing 50N displaces a volume of water with a weight of 10 N, what is the buoyant force on the object?

An object sinks when it displaces a volume of liquid that has a weight

A glass of ice water is filled to the brim with water; the ice cubes stick up above the water surface. After the ice melts, which is true?

What are the ways to create buoyancy in seawater? Pick 2

A block of wood with dimensions of length = 1.6m, width = 0.4m and height = 1m, is placed in water, what is the buoyant force? The density of water is 1000kg/m3. Answer to 1 decimal places and only put in the numerical value. Do not write the unit in your answer.

Why does a hot air balloon rise when the air inside it is heated?

A parcel of air is buoyant when:

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单