EASY
AS and A Level
IMPORTANT
Earn 100

The density of steel is 7850 kg m-3. Calculate the mass of a steel sphere of radius 0.15 m. (First, calculate the volume of the sphere using the formula V=43πr3 and then use the density equation.)

Important Questions on Matter and Materials

EASY
AS and A Level
IMPORTANT
A chair stands on four feet, each of area 10 cm2. The chair weighs 80 N. Calculate the pressure it exerts on the floor.
EASY
AS and A Level
IMPORTANT
Estimate the pressure you exert on the floor when you stand on both feet. (You could draw a rough rectangle around both your feet placed together to find the area in contact with the floor. You will also need to calculate your weight from your mass.)
EASY
AS and A Level
IMPORTANT
Calculate the pressure due to the water on the bottom of a swimming pool if the depth of water in the pool varies between 0.8 m and 2.4 m. (Density of water =1000 kg m-3. ) If atmospheric pressure is 1.01×105 Pa, calculate the maximum total pressure at the bottom of the swimming pool. (g=10 m s-2)
EASY
AS and A Level
IMPORTANT
Estimate the height of the atmosphere if atmospheric density at the Earth's surface is 1.29 kg m-3. (Atmospheric pressure =101kPa.)
EASY
AS and A Level
IMPORTANT

(a) Why is it difficult to hold an inflated plastic ball underwater?

EASY
AS and A Level
IMPORTANT
(b) A submarine floats at rest under the water. To rise to the surface compressed air is used to push water out of its 'ballast' tanks into the sea. Why does this cause the submarine to rise?
EASY
AS and A Level
IMPORTANT
A boat has a uniform cross-sectional area at the water line of 750 m2. Fifteen cars of average mass 1200 kg are driven on board. Calculate the extra depth that the boat sinks in water of density 1000 kg m-3.
EASY
AS and A Level
IMPORTANT
A balloon of volume 3000 m-3 is filled with hydrogen of density 0.090 kg m-3. The mass of the fabric of the balloon is 100 kg. Calculate the greatest mass that the balloon can lift in air of density 1.2 kg m-3.