Classical Mechanics Answers

A batter hits a baseball so that it leaves the bat with an initial velocity of 28.0m/s at an angle of 35°. What is the maximum height, the time it is in the air, and the range?

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Old televisions would shoot electrons in a beam (horizontally) to a screen and create an image. The electrons travel with a velocity of 4.8 x 10⁷ m/s. What is the height below the beam when the electrons hit the screen 50.0 cm away?

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Anna has a vertical that is just over .5 m

1) estimate the force she exerts on the basketball court if she pushes off the ground for .3 seconds

2) compare this with the force the surface exerts on Anna

3) repeat the problem looking at the time interval when she is landing back on the floor

A body of mass m falls from rest through a medium which exerts a frictional drag force bv proportional to a frictional force F. Expand the velocity in power series up to t^4, at what time does the body reach 1/e of it terminal velocity, find it displacement, expand the displacement in power series up to t^4

I am having trouble understanding this homework question conceptually and would appreciate guidance (not a complete solution).

A particle of mass m moves in a 1D potential V(x). Because of energy conservation, it undergoes periodic motion, oscillating between two turning points: x_1 and x_2.

Find the period of the oscillation (in terms of m and U(x)). Use the law of energy conservation to find the oscillator's velocity v(x)=dx/dt, separate x and r dependence and integrate appropriately.

Thanks in advance.

Tom is driving a car with a mass of 1100kg. He takes it to a racetrack to see how fast he can go around the corner. If there is a banked Curve of 25 degrees and the coefficient of friction between the car and the road is 0.6, what is the fastest Tom can travel?

Bob is riding his bike (combined mass of 90 kg) over a hill, which creates a radius of 30m. He is traveling at a speed of 4 m/s. What is the force he feels from his bike as he is going over the crest of the hill?

Bob who has a mass of 85kg holds onto a vine of a length of 8m long and jumps off a cliff. What is the tension force in the vine as Bob passes the lowest point of the circular path?

A car travels at 25 m/s along a horizontal curve of a radius of 450m. What is the minimum coefficient of friction between the tires and the road in order to not skid?

A force (-4i+2j)AND moves an object from the point p(1,3)m to the point Q(3,8) . the work done by the force is