What is the smallest number of whole logs (density = 735 kg/m³, radius = 0.077 m,...

What is the smallest number of whole logs (density = 735 kg/m³, radius = 0.077 m, length = 2.91 m) that can be used to build a raft that will carry 3 people, each of whom has a mass of 76.0 kg?

Solutions

Expert Solution

Smallest no of logs to support 3 people

So it is okay that raft can be fully submerged and all 3 people will be just above the water line

(it is not given that raft is partially submerged)

The buoyant force experienced by raft should support weight of all logs and weight of 3 people

Let the no of logs be X

------------------

Density =mass/volume

so mass of 1 log =Density *volume =

mass of 1 log =

mass of X logs =

mass of 3 people = 3*76 =228kg

-----------------------------

Cancel g

ANSWER: 16 Logs

==============

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A solid steel sphere of radius 1.50cm and density of 8045 kg/m³ was launched on a...

A solid steel sphere of radius 1.50cm and density of 8045 kg/m³ was launched on a horizontal frictionless surface. The sphere was launched using a spring gun which possessed a spring with a force constant of 35.6 N/m. The spring was compressed 30.0 cm and the sphere was launched. At the end of the frictionless surface (that was 0.955 m above the floor), the sphere rolled (no slipping) up a 25° ramp with height of 1.15m and then launched off...

A bubble is sphere with 10 mm radius and a density of 1.0 kg/m^3. This goes...

A bubble is sphere with 10 mm radius and a density of 1.0 kg/m^3. This goes up in a glass of water which has Pwater=0.95 g/cm^3. It starts at the bottom of a glass which is 10 cm tall. Cd=0.8 Hypothesize how long it would take the bubble to rise to the top of the glass. Draw a complete force diagram of the bubble, including weight, buoyancy and drag forces. Make sure your coordinate axis points in the direction of...

What is the smallest whole-number coefficient for H₂O when the equation MnO₄⁻ + I⁻ + H₂O...

What is the smallest whole-number coefficient for H₂O when the equation MnO₄⁻ + I⁻ + H₂O → MnO₂ + IO₃⁻ is balanced in basic solution?

Using the set of smallest whole number coefficients to balance the redox equation MnO4- + NO2-...

Using the set of smallest whole number coefficients to balance the redox equation MnO4- + NO2- ---> MnO2 + NO3- in basic solution, you get a) 2 OH- on the right. b) 3 OH- on the left. c) 1 H2O on the right d) 3 H2O on the left

A 45 kg skater rounds a 4.5 m -radius turn at 6.6 m/s .What is the...

A 45 kg skater rounds a 4.5 m -radius turn at 6.6 m/s .What is the horizontal component of the force the ice exerts on her skate blades ? What is the vertical component of the force the ice exerts on her skate blades?At what angle can she lean without falling over?

A wood cube 0.40 m on each side has a density of 750 kg/m³ What mass...

A wood cube 0.40 m on each side has a density of 750 kg/m³ What mass has to be placed on top of the wood so that its top is just at the water level?

Complete and balance the following redox equations using the smallest whole-number coefficients. (in BASIC solution) IO3−...

Complete and balance the following redox equations using the smallest whole-number coefficients. (in BASIC solution) IO3− + Re → ReO4− + IO− What was oxidized? (circle) What is a reducer? (circle) What was reduced? (circle) What is an oxidizer? (circle) IO3− Re IO3− Re IO3− Re IO3− Re

-What is the molar mass of acetaminophen, C8H9NO2? -When balanced with the smallest set of whole...

-What is the molar mass of acetaminophen, C8H9NO2? -When balanced with the smallest set of whole numbers, the coefficient of O2 in the following equation is: __ C2H4 + __ O2 --------> __ CO2 + __ H2O -When 22.0 g NaCl and 21.0 g H2SO4 are mixed and react according to the equation below, which is the limiting reagent? 2NaCl + H2SO4 -------> Na2SO4 + 2HCl

A disk with mass m = 11.8 kg and radius R = 0.31 m begins at...

A disk with mass m = 11.8 kg and radius R = 0.31 m begins at rest and accelerates uniformly for t = 17.2 s, to a final angular speed of ω = 31 rad/s. 1.What is the angular acceleration of the disk? 2. What is the angular displacement over the 17.2 s? 3. What is the moment of inertia of the disk? 4. What is the change in rotational energy of the disk?

A 1.5 kg solid cylinder (radius = 0.15 m , length = 0.60 m ) is...

A 1.5 kg solid cylinder (radius = 0.15 m , length = 0.60 m ) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.80 m high and 5.0 m long. When the cylinder reaches the bottom of the ramp, what is its total kinetic energy? When the cylinder reaches the bottom of the ramp, what is its rotational kinetic energy? When the cylinder reaches the bottom of the ramp,...

Subjects