# Physical quantity - math word problems - page 324 of 325

A physical quantity is a term numerically describing a property or state of a physical object. For example, a physical quantity is a length, and its corresponding physical unit is a meter (symbol m). Similarly, the quantity is weight, and the unit is the kilogram (kg). Physical quantities can be divided into a scalar (has magnitude), vector (has magnitude and direction), and tensor (has magnitude and multiple directions).#### Number of problems found: 6481

- Felix

Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km. - Tropical, mild and arctic

How many percent of the Earth's surface lies in the tropical, mild, and arctic ranges? The border between the ranges is the parallel 23°27' and 66°33'. - Cylinder horizontally

The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder? - Instantaneous 69064

Describe how the instantaneous power value in the AC circuit changes during one period.

- Earth parallel

Earth's radius is 6370 km long. Calculate the length parallel to latitude 50°. - Perpendicular 81758

Distribute the force of magnitude F = 100 N into two perpendicular components with magnitudes F1 and F2 so that the angle between forces F1 and F is 43°52'. - Regular quadrangular pyramid

How many square meters are needed to cover the shape of a regular quadrangular pyramid base edge of 10 meters if the deviation lateral edges from the base plane are 68°? Calculate waste 10%. - Cube - angles

Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base. - Pentagonal pyramid

Calculate the volume of a regular 5-side (pentaprism) pyramid ABCDEV; if |AB| = 7.7 cm and a plane ABV, ABC has angle 37 degrees.

- Components 67664

The force R = 12 N is divided into two components, F1 and F2. Their directions make angles α = 30 °, β = 45 ° with the direction R. What are the components F1 and F2? - Box

Calculate the angle between box base 9 x 14 and body diagonal length 18. - Resultant force

Calculate mathematically and graphically the resultant of three forces with a common center if: F1 = 50 kN α1 = 30° F2 = 40 kN α2 = 45° F3 = 40 kN α3 = 25° - Inclined plane

The body stays on an inclined plane and exerts a compressive force of 70N on it. Find the angle between the inclined plane and the horizontal if a gravitational force of 100N acts on the body. - Inclined plane

On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane.

- Pyramid - angle

Calculate the regular quadrangular pyramid's surface whose base edge measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees. - Angle of the body diagonals

Using the vector dot product calculate the angle of the body diagonals of the cube. - Square equal rhombus

Construct a square that has the same area as a rhombus ABCD if |AB| = 5cm, |AD| = 4cm and angle |DAB| = 30°. - Parallelogram 62084

OPRS parallelogram with OP side 4 cm long, OS side 5 cm long, angle at the top P is 100 °. What is its area? - Forces

In point, G acts three orthogonal forces: F_{1}= 16 N, F_{2}= 7 N, and F_{3}= 6 N. Determine the resultant of F and the angles between F and forces F_{1}, F_{2}, and F_{3}.

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