PHYSICS
Paper 4 (P4): Mass, Weight & Density Topic Quiz 1
Question 1:
The diagram shows a metal block on a flat surface.
The mass of the metal block is 1.6 kg.
Calculate the weight of the metal block.
[1]
The diagram shows a metal block on a flat surface.
The mass of the metal block is 1.6 kg.
Calculate the weight of the metal block.
[1]
Question 2:
The diagram shows a piece of glass of thickness 2.0 cm and area 0.15 m².
The density of the glass is \(2.6 \times 10^3\) kg/m³.
Calculate the weight of the piece of glass.
[Total: 1]
The diagram shows a piece of glass of thickness 2.0 cm and area 0.15 m².
The density of the glass is \(2.6 \times 10^3\) kg/m³.
Calculate the weight of the piece of glass.
[Total: 1]
Question 3:
The mass of an empty beaker is 400 g.
Calculate the weight of the empty beaker.
[Total: 1]
The mass of an empty beaker is 400 g.
Calculate the weight of the empty beaker.
[Total: 1]
Question 4:
The diagram shows two children sitting on a see-saw.
The weight of child A is 125 N.
Calculate the mass of child A. Include the unit in your answer.
[Total: 1]
The diagram shows two children sitting on a see-saw.
The weight of child A is 125 N.
Calculate the mass of child A. Include the unit in your answer.
[Total: 1]
Question 5:
The diagram shows a uniform rod of wood suspended from a pivot.
The mass of the rod is 0.080 kg.
(a) Calculate the weight W of the rod.
(b) Calculate the moment of W about the pivot.
(c) Calculate the moment of F about the pivot.
(d) Calculate the force F.
[Total: 4]
The diagram shows a uniform rod of wood suspended from a pivot.
The mass of the rod is 0.080 kg.
(a) Calculate the weight W of the rod.
(b) Calculate the moment of W about the pivot.
(c) Calculate the moment of F about the pivot.
(d) Calculate the force F.
[Total: 4]
Question 6:
A bus is traveling along a straight road.
The bus and driver have a combined mass of 16,000 kg when empty.
The bus has 73 passengers, each with an average mass of 65 kg.
(a) Calculate the total mass of the bus, driver, and passengers.
(b) The fully loaded bus accelerates uniformly from rest to a speed of 14 m/s in 20 s.
Calculate the resultant force on the bus during the acceleration.
[Total: 4]
A bus is traveling along a straight road.
The bus and driver have a combined mass of 16,000 kg when empty.
The bus has 73 passengers, each with an average mass of 65 kg.
(a) Calculate the total mass of the bus, driver, and passengers.
(b) The fully loaded bus accelerates uniformly from rest to a speed of 14 m/s in 20 s.
Calculate the resultant force on the bus during the acceleration.
[Total: 4]
Question 7:
The diagram shows a sign extending over a road.
The mass of the sign is 3.4 × 102 kg.
(a) Calculate the weight W of the sign.
(b) Calculate the moment about point P due to the weight of the sign.
(c) The weight of the concrete block produces a moment that cancels the moment caused by W.
Calculate the weight of the concrete block.
(d) State and explain what happens to the moment about point P due to the weight of the sign as it rotates.
[Total: 5]
The diagram shows a sign extending over a road.
The mass of the sign is 3.4 × 102 kg.
(a) Calculate the weight W of the sign.
(b) Calculate the moment about point P due to the weight of the sign.
(c) The weight of the concrete block produces a moment that cancels the moment caused by W.
Calculate the weight of the concrete block.
(d) State and explain what happens to the moment about point P due to the weight of the sign as it rotates.
[Total: 5]
Question 8:
A rectangular container has a base of dimensions 0.12 m × 0.16 m.
The container is filled with liquid with a mass of 4.8 kg.
(a) Calculate the weight of the liquid in the container.
(b) Calculate the pressure due to the liquid on the base.
(c) Explain why the total pressure on the base is greater than the calculated value.
(d) The depth of the liquid is 0.32 m.
Calculate the density of the liquid.
[Total: 5]
A rectangular container has a base of dimensions 0.12 m × 0.16 m.
The container is filled with liquid with a mass of 4.8 kg.
(a) Calculate the weight of the liquid in the container.
(b) Calculate the pressure due to the liquid on the base.
(c) Explain why the total pressure on the base is greater than the calculated value.
(d) The depth of the liquid is 0.32 m.
Calculate the density of the liquid.
[Total: 5]
Question 9:
The diagram shows a hollow metal cylinder containing air, floating in the sea.
(a) Explain why the cylinder floats despite being denser than seawater.
(b) The cylinder floats with 1.2 m submerged out of its 1.8 m length.
The bottom of the cylinder has a cross-section area of 0.80 m².
The density of seawater is 1020 kg/m³.
Calculate the force exerted on the bottom of the cylinder due to the seawater depth.
[Total: 4]
The diagram shows a hollow metal cylinder containing air, floating in the sea.
(a) Explain why the cylinder floats despite being denser than seawater.
(b) The cylinder floats with 1.2 m submerged out of its 1.8 m length.
The bottom of the cylinder has a cross-section area of 0.80 m².
The density of seawater is 1020 kg/m³.
Calculate the force exerted on the bottom of the cylinder due to the seawater depth.
[Total: 4]
Question 10:
The diagram shows a large box with a heavy lid.
(a) The weight of the box is 2250 N.
Calculate the mass of the box.
(b) A man uses a metal bar as a lever to lift the lid.
(i) Calculate the moment of his force about the pivot.
(ii) Describe how the man can increase the moment using the same force.
[Total: 4]
The diagram shows a large box with a heavy lid.
(a) The weight of the box is 2250 N.
Calculate the mass of the box.
(b) A man uses a metal bar as a lever to lift the lid.
(i) Calculate the moment of his force about the pivot.
(ii) Describe how the man can increase the moment using the same force.
[Total: 4]
Question 11:
The diagram shows a cylinder made from copper with a density of 9000 kg/m³.
The volume of the cylinder is 75 cm³.
(a) Calculate the mass of the cylinder.
(b) The gravitational field strength is 10 N/kg.
(i) Calculate the weight of the cylinder.
[Total: 3]
The diagram shows a cylinder made from copper with a density of 9000 kg/m³.
The volume of the cylinder is 75 cm³.
(a) Calculate the mass of the cylinder.
(b) The gravitational field strength is 10 N/kg.
(i) Calculate the weight of the cylinder.
[Total: 3]
Question 12:
A plastic cube with sides of 8.0 cm.
The mass of the cube is 0.44 kg.
(a) Explain what is meant by mass.
(b) (i) Calculate the density of the plastic cube.
(ii) State and explain whether the cube floats or sinks in oil of density 850 kg/m³.
(c) On the Moon, the cube weighs 0.70 N.
(i) Calculate the gravitational field strength on the Moon.
(ii) Calculate the pressure due to the oil on the lower face of the cube.
[Total: 6]
A plastic cube with sides of 8.0 cm.
The mass of the cube is 0.44 kg.
(a) Explain what is meant by mass.
(b) (i) Calculate the density of the plastic cube.
(ii) State and explain whether the cube floats or sinks in oil of density 850 kg/m³.
(c) On the Moon, the cube weighs 0.70 N.
(i) Calculate the gravitational field strength on the Moon.
(ii) Calculate the pressure due to the oil on the lower face of the cube.
[Total: 6]
Question 13:
The diagram shows a boat suspended in a shed by two ropes.
The tension in each rope is 75 N.
(a) Draw a vector diagram to determine the resultant force.
(b) Determine the mass of the boat.
[Total: 4]
The diagram shows a boat suspended in a shed by two ropes.
The tension in each rope is 75 N.
(a) Draw a vector diagram to determine the resultant force.
(b) Determine the mass of the boat.
[Total: 4]
Question 14:
The diagram shows a rectangular paddling pool filled with seawater.
(a) The volume of the seawater is 264 m³.
Calculate the depth of the pool.
(b) The mass of the seawater is 2.70×10⁵ kg.
Calculate the density of the seawater to 3 significant figures.
(c) Calculate the pressure due to the seawater at the bottom of the pool.
[Total: 6]
The diagram shows a rectangular paddling pool filled with seawater.
(a) The volume of the seawater is 264 m³.
Calculate the depth of the pool.
(b) The mass of the seawater is 2.70×10⁵ kg.
Calculate the density of the seawater to 3 significant figures.
(c) Calculate the pressure due to the seawater at the bottom of the pool.
[Total: 6]
