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A 55000.kg truck rounds a 38.0 m radius curve at 62.0km/h. Find how much centripetal force must be supplied by friction with the road to keep the truck from from slipping
How many seconds would it take for a 4.50kW motor to raise a 175.kg boiler to a height of 15.0 m?
How much work is done by pulling up on a suitcase at 40° elevation with a force of 5.00lb while moving it horizontally 1320.ft?
An electrostatic force of 20N is exerted on a charge of 8.0 x 10 3 C at point P in
an electric field. What is the magnitude of the electric field intensity at point P?
The airspeed of a small plane is 130 km/h. The wind is
blowing at 86 km/h [S 200E].
Determine the velocity of the plane relative to the ground if the pilot keeps the plane aimed in the direction of [N 350 W]
Given 1 log unit at 500 nm is 100 W, what is the number of watts at 550 nm?
Given the vectors 𝐴⃗=5𝑖̂+3𝑗̂+𝑘̂ and 𝐵⃗⃗=−3𝑖̂+2𝑗̂−4𝑘̂, find the following:
• 𝐴⃗ ∙ 𝐵⃗
• Angle between vector A and B
• 𝐴⃗ 𝑥 𝐵⃗
2. A ball is thrown at an angle of 45.0° from the horizontal with an initial velocity of 5.0 𝑚/𝑠.
a. At what time will the ball reach its maximum height?
b. What will be the maximum height of the ball’s trajectory?
c. How far will the ball travel horizontally when it reaches the maximum height of its flight?
The position vector of a butterfly that is flying parallel to the ground is given as a function of time by 𝑟⃑= [2.90 𝑚 + (0.0900 𝑚/𝑠^2)𝑡^2]𝑖̂ − (0.0150 𝑚/𝑠^3)𝑡^3𝑗̂
a. At what value of 𝑡 does the velocity vector of the insect make an angle 30.0° clockwise from the +x-axis?
b. At the time calculated in (a), what are the magnitude and direction of the acceleration vector of the insect?
Two very narrow slits are spaced 1.80 mm apart and are placed 35.0 cm from a screen.
What is the distance between the first and second dark lines of the interference pattern when the slits are illuminated with coherent light with wavelength 550 nm?
