Ask question

# A galaxy contains a parallelogram-shaped dust field. The dust field has a base of 150 miles. The height is 14% of the base. What is the area of the dust field?

Question
Performing transformations
asked 2021-01-28
A galaxy contains a parallelogram-shaped dust field. The dust field has a base of 150 miles. The height is 14% of the base. What is the area of the dust field?

## Answers (1)

2021-01-29
The area of a parallelogram is:
$$\displaystyle{A}={b}{h}$$
From the given, b=150 miles and $$\displaystyle{h}={0.14}{\left({150}\right)}={21}$$ miles. Hence,
$$\displaystyle{A}={\left({150}\right)}{\left({21}\right)}$$
$$\displaystyle{A}={3150}{m}{i}^{{{2}}}$$

### Relevant Questions

asked 2021-04-24

A wind farm generator uses a two-bladed propellermounted on a pylon at a height of 20 m. The length of eachpropeller blade is 12 m. A tip of the propeller breaks offwhen the propeller is vertical. The fragment flies offhorizontally, falls, and strikes the ground at P. Just beforethe fragment broke off, the propeller was turning uniformly, taking1.2 s for each rotation. In the above figure, the distancefrom the base of the pylon to the point where the fragment strikesthe ground is closest to:
a) 130 m
b) 160 m
c) 120 m
d) 140 m
e) 150 m
asked 2021-05-08
(a) A 115-g mass of aluminum is formed into a right circular cylinder, shaped so that its diameter equals its height.Calculate the resistance between the top and bottom faces of thecylinder at 20 degrees C. (b) Calculate the resistance betweenopposite faces if the same mass of aluminum is formed into acube.
asked 2021-04-24
Problem: From what maximum height can a 75 kg person jump w/obreaking the lower leg bone on either leg? Ignore air resistance and assume the CM of the person moves a distance of 0.60m from the standing to the seat position (that is, in breaking the fall). Assume the breaking strength (force per unit area) of bone is $$\displaystyle{170}\times{10}^{{6}}\ \frac{{N}}{{m}^{{2}}}$$ and its smallest cross sectional areais $$\displaystyle{2.5}\times{10}^{{-{4}}}$$
asked 2021-03-30
A long, straight, copper wire with a circular cross-sectional area of $$\displaystyle{2.1}{m}{m}^{{2}}$$ carries a current of 16 A. The resistivity of the material is $$\displaystyle{2.0}\times{10}^{{-{8}}}$$ Om.
a) What is the uniform electric field in the material?
b) If the current is changing at the rate of 4000 A/s, at whatrate is the electric field in the material changing?
c) What is the displacement current density in the material in part (b)?
d) If the current is changing as in part (b), what is the magnitude of the magnetic field 6.0cm from the center of the wire? Note that both the conduction current and the displacement currentshould be included in the calculation of B. Is the contribution from the displacement current significant?
asked 2021-02-17
A square loop of copper wire is initially placed perpendiclar to the lines of a constant magnetic field of $$\displaystyle{5}\times{10}^{{3}}$$ T.The area enclosed by the loop is 0.2 square meter. the loopis then turned through an angle $$\displaystyle{90}^{\circ}$$ so thatthe plane of the loop is parallel to the field lines. the turntakes 0.1 second. what is the average emf induced in the loop during the turn?
asked 2021-04-21
The crane shown in the drawing is lifting a 182-kg crate upward with an acceleration of $$\displaystyle{1.5}\frac{{m}}{{s}^{{2}}}$$. The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of 130 kg. The cable is then wound ontoa hollow cylindrical drum that is mounted on the deck of the crane.The mass of the drum is 150 kg, and its radius is 0.76 m. The engine applies a counter clockwise torque to the drum in order towind up the cable. What is the magnitude of this torque? Ignore the mass of the cable.
asked 2020-10-26
The ratio of the length (including the endzone) to the width of an NFL football field is 2.25. If the perimeter of the football field is 1040 feet, what are the dimensions of the field?
asked 2021-03-30
A spring gun projects a golf ball at an angle of 45 degreesabove the horizontal. The ball has horizontal range of 32 feet.what is the maxium height to which the ball can rise? and what are2 angles for the range is 20 ft.
asked 2021-03-26
A helicopter carrying dr. evil takes off with a constant upward acceleration of $$\displaystyle{5.0}\ \frac{{m}}{{s}^{{2}}}$$. Secret agent austin powers jumps on just as the helicopter lifts off the ground. Afterthe two men struggle for 10.0 s, powers shuts off the engineand steps out of the helicopter. Assume that the helicopter is infree fall after its engine is shut off and ignore effects of airresistance.
a) What is the max height above ground reached by the helicopter?
b) Powers deploys a jet pack strapped on his back 7.0s after leaving the helicopter, and then he has a constant downward acceleration with magnitude 2.0 m/s2. how far is powers above the ground when the helicopter crashes into the ground.
asked 2021-02-14
The plane of a rectangular coil, 5.0-cm by 8.0-cm, is perpendicular to the direction of a magnetic field "B". If the coil has 75 turns and a total resistance of 8.0 Ohms, at what rate must the magnitude of "B" change to induce a current of 0.10 amps in the windings of the coil?
...