Physics Solutions Library

# Physics Solutions Library

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2,785 solutions

Unit Vectors

#### Q. What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude and (c) an angle?

Solved • Nov 6, 2019

Projectile Motion: Horizontal & Negative Launch

#### Q. A dart is thrown horizontally with an initial speed of 10 m/s toward point  P, the bull’s-eye on a dart board. It hits at point Q on the rim, verti...

Solved • Nov 6, 2019

Vector Product (Cross Product)

#### Q. Displacement d1 is in the yz plane 63.0° from the positive direction of the y-axis, has a positive z component, and has a magnitude of 4.50 m. Disp...

Solved • Nov 5, 2019

Uncertainty

#### Q. The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the di...

Solved • Oct 23, 2019

Units & Conversions

#### Q. Hydraulic engineers in the United States often use, as a unit of volume of water, the acre-foot, defined as the volume of water that will cover 1 a...

Solved • Oct 23, 2019
Conservation of Energy in Rolling Motion

#### Q. A size-5 soccer ball of diameter 22.6 cm and mass 426 g rolls up a hill without slipping, reaching a maximum height of 6.50 m above the base of the...

Solved • Mar 18, 2019
Parallel Axis Theorem

#### Q. A thin, rectangular sheet of metal has mass M and sides of length a and b. Use the parallel-axis theorem to calculate the moment of inertia of the ...

Solved • Mar 18, 2019