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A child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0.6 km from the shore and 2.5 km upstream from the dock. A rescue boat with speed 24.8 km/hr (with respect to the water) sets off from the dock at the optimum angle to reach the child as fast as possible. How far from the dock does the boat reach the child?
A ball is shot from the top of a building with an initial velocity of 20m/s at an angle ? = 42? above the horizontal. What are the x and y components of the initial velocity
A dipole of moment 0.7 e · nm is placed in a uniform electric field with a magnitude of 70000 N/C.What is the magnitude of the torque on the dipole when the dipole is perpendicular to the electric field?
A cyclist uses 27,000 joules per minute (this is about 385 food Calories per hour) to cycle at a constant pedaling rate of 450 radians per minute along a flat road using a gear ratio of 4. Determine the torque exerted on the rear gear wheel
An apple is located 13.6 centimeter in front of a diverging lens with a focal length of magnitude 22.4 centimeter. Obtain the magnification of the image of the apple
A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 18.5m/s. How high was the balloon when the rock was thrown out
A 29.0kg crate is initially moving with a velocity that has magnitude 4.08m/s in a direction 37.0 west of north. How much work should be done on the crate to change its velocity to 5.82m/sin a direction 63.0 south of east?
Choose the expression for the magnitude of the differential magnetic field, dB, generated at point A by the current moving through the segment of wire dl, in terms of given parameters and fundamental constants.
Assume that the points of inflection of the piecewise-linear transfer characteristic occur at 29° (vs(q) = 0.6V) and 73° (vs(q) = 1.2V). Use the first point of inflection to determine the maximal value Vtri of the triangle wave
What is the acceleration of the block up the slope
Suppose a molecular motor consumes 3 ATP molecules in every step. If this motor has a step size of 5.8 nm, what is the maximum force the motor could exert
A 50kg driver sits stopped at a traffic light. Another car rear-ends her and causes her to accelerate at 16m/s^2. It all occurs in 0.25s. What is the impulse given to the driver
two parallel metal plates have area a 255 cm2 and are separated by l 0.50cm. they have a potential difference of 0.25
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