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An athlete crosses a 28 m-wide river by swimming perpendicular to the water current at a speed of 0.8 m/s relative to the water. He reaches the opposite side at a distance 43 m downstream from his starting point.
a) How fast is the water in the river flowing with respect to the ground in m/s?
b) What is the speed of the swimmer with respect to a friend at rest on the ground in m/s?
What is the magnitude of the net torque exerted on the branch by the children? Suppose that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.
A thin, circular disc is made of lead and has a radius of 0.0350 cm at 20.0 °C. find out the change in the area of the circle if the temperature is increased to 625.0 °C. The coefficient of linear thermal expansion for lead is 29.0 x 10-6/C°.
Find the maximum weight for the car if the springs should be compressed no more than 4.2 cm when the car is at rest
A 1000 kg aircraft going 25 m/s collides with a 1500 kg aircraft that is parked and they stick together after the collision and are going 10 m/s after the collision. If they skid for 5.4 seconds before stopping, how far did they skid?
A proton is moving in an uniform electric field of part (a). At point A, the velocity of the proton is 1.90 X 104 m/s, east. What is the speed of proton at point B.
Two parallel plates, each of area 7.00 cm^2, are seperated by 3.50 mm of water, What is the magnitude of the potential difference between the plates
An uncharged capacitor and a resistor are connected in series to a source of emf. If emf = 6.00 V, C = 16.0 µF, and R = 100 ?, find the maximum charge on the capacitor
Explain how much mechanical energy is lost due to friction acting on the runner? How far does he slide?
A student has two ramps, both of which are at an angle 32°. Ramp 1 is frictionless and ramp 2 has friction. The student also has two blocks, one for each ramp.
A car rounds a 1.15 radius circular track at 82 Find the magnitude of the car's average acceleration after it has completed one-fourth of the circle.
A 2.00-g charged particle is released from rest in a region that has a uniform electric field = (160 N/C) . After traveling a distance of 0.520 m in this region, the particle has a kinetic energy 0.080 J. Determine the charge of the particle.
A jeweler working awith a heated 47 g gold ring must lower the ring's temperature to make it safe to handle. If the ring is initially at 99 C, what mass of water at 25 C is needed to lower the rings temperature to 38 c.
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