Physics Answers

Find the total charge of a cylinder of Radius R and Length L, carrying a charge density that is proportional to the distance from its axis.

Four point charges (two with q= 2.50 x 10^–6 C and two with q= –2.50 x 10^–6 C) are situated at the corners of a square of side 1.00 m as shown. Find the resultant force that the charge at A will experience due to the charges as the other corners of the squares.

A swimmer jumps into a river and swims

straight for the other side at 1.5 km/h [N]

relative to the water. There is a current in the

river of 2.0 km/h [W].

a. What is the swimmer’s velocity relative

to the ground? [2.5 km/h [N53°W]]

b. If the river is 150 m wide, how long will

it take them to cross the river?

a) A +100-μC charge produces 1.5 T field 2 cm from the charge. Determine the magnitude of velocity of the charge. b) What magnetic field is produced by a charge twice that in part a) 4 cm away from it?

At what depth in the ocean would the water pressure be three times atmospheric pressure? What would be the force on a portion of the hull of a submarine that is 10 cm by 10 cm? If a bubble of air has diameter 5.0 cm starting at that depth, what will be its diameter just as it reaches the surface (assume temperature stays the same)?

a) If a block slides at a frictionless plane inclined at theta equal 30 ° what's the acceleration of the block

b) if the coefficient of static friction between the plane and block in part (a) is miu equals 0.4 at what angle will the block start sliding if is initially at rest

Charges of +2.0, +3.0, and -8.0C are placed at the vertices of an equilateral triangle of side 10 cm. Calculate the magnitude of the force acting on the -8.0C charge due to the other two charges.

What are the x and y components of the vector that must be added to the following three vectors, so that the sum of the four vectors is zero? Due east is the + x direction, and due north is the + y direction. [10]

𝐴⃗ = 113 𝑢𝑛𝑖𝑡𝑠, 60.0° 𝑠𝑜𝑢𝑡ℎ 𝑜𝑓 𝑤𝑒𝑠𝑡

𝐵⃗⃗ = 222 𝑢𝑛𝑖𝑡𝑠, 35.0° 𝑠𝑜𝑢𝑡ℎ 𝑜𝑓 𝑤𝑒𝑠𝑡

𝐵⃗⃗ = 177 𝑢𝑛𝑖𝑡𝑠, 23.0° 𝑛𝑜𝑟𝑡ℎ 𝑜𝑓 𝑒𝑎𝑠

You live in the building on the left in the drawing, and a friend lives in the other building. The two of you are having a discussion about the heights of the buildings, and your friend claims that his building is half again as tall as yours. To resolve the issue you climb to the roof of your building and estimate that your line of sight to the top edge of the other building makes an angle of 21° above the horizontal, while your line of sight to the base of the other building makes an angle of 52° below the horizontal. Determine the ratio of the height of the taller building to the height of the shorter building. State whether your friend is right or wrong.

The two hot-air balloons in the drawing are 48.2 and 61.0 m above the ground. A person in the left balloon observes that the right balloon is 13.3° above the horizontal. What is the horizontal distance x between the two balloons?