A block of wood with length = 4.5 m, width = 2.5 m and...

A block of wood with length = 4.5 m, width = 2.5 m and height = 1.4 m. The density of water is 1000 Kg/m³. If the block is placed in the water, what is the buoyant force? (Acceleration due to gravity is 9.8 N/Kg). A standard basketball (mass = 624 grams; 24.3 cm in diameter) is held fully under water. Calculate the buoyant force and weight. When released, does the ball sink to the bottom or float to the surface? Water ice has a density of 0.91 g/cm³, so it will float in liquid water. Imagine you have a cube of ice, 10 cm on a side. (a) What is the cube's weight? (b) What volume of liquid water must be displaced in order to support the floating cube?

Transcript

00:01 Hello students, in this question, the length of the wooden block is given as 4 .5 m, width is 2 .5 m and height is 1 .4 m.

00:11 We have to calculate the buoyance force.

00:16 So, for calculating the buoyance force, we have to first calculate the volume of the wooden block.

00:21 Volume is equal to l into w into h, that is length into width into h, therefore 4 .5 into 2 .5 into 1 .4 m3.

00:34 So, on calculating this, we will be getting 15 .750 m3.

00:41 We know that it is given in the question that is the density of water is 1000 kg per m3 and also g is equal to 9 .8 n per kg.

01:01 So, with this we can calculate the buoyance force.

01:04 So, buoyance force is equal to rho into v into g.

01:08 What is rho here? it is the density of water 1000 kg per m3 into 15 .750 m3 into the acceleration due to gravity in n per kg is 9 .8 n per kg.

01:26 So, this kg will get cancelled and m3, m3 will be cancelled.

01:31 So, on calculating this, we will be getting 15 .4350 n.

01:38 So, this is the buoyance force, value of the buoyance force.

01:43 So, in the second subdivision, the mass of the basketball is given 624 g and its diameter of the basketball is 24 .3 cm.

01:52 We have to calculate the buoyance force and weight of the basketball and in addition to that we have to tell if the ball is released will it float or sink inside the water.

02:01 So, for calculating the buoyance force, first we have to calculate the volume of the basketball.

02:06 So, volume of the basketball is sphere therefore, volume is equal to 4 by 3 pi r cube.

02:13 Since we know that diameter radius is equal to 12 .15 cm...

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