Mechanics | Relativity Answers

4. ) A stone is thrown vertically up from the ground with a velocity of 400 ft per sec. How long must one wait before dropping a second stone from the top of an 800ft tower if the two stones are to pass each other 300 ft from the top of the tower?

5.) It was once recorded that a Jaguar left skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -3.90 m/s², determine the speed of the Jaguar before it began to skid.

6. ) A capsule orbit the earth at the rate of 6000 m/s. If the radius of the Earth is 3000km, find the height of capsule from the surface of the Earth.

1.) A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

2.) A feather is dropped on the moon from a height of 1.40 meters. The acceleration 

of gravity on the moon is 1.67 m/s

2. Determine the time for the feather to fall to the surface of the moon.

3.) An engineer is designing the runway for an airport. Of the planes that will use the 

airport, the lowest acceleration rate is likely to be 3 m/s². The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?

A man drags a 76kg crate across the floor at constant velocity by pulling a strap attached to the bottom of the crate. Crate is tilted 25° above horizontal. Strap is included 61° above horizontal (between box top and hands). Center of Gravity of crate coincides with its geometric center. Find magnitude of tension in the strap. Crate is 0.40m tall by 0.90m long.

A 4N mass is hung at 85cm mark on a meter rule given that the pivot is praced at 75cm mark . Determine the mass of the meter rule

A 2kg pulley with a 0.25m radius with a rotational inertia of (1/2)(mr^2) is connected to a 16kg bucket of water. The pulley has an initial clockwise angular velocity of 12rad/s. Calculate the maximum height that the bucket will reach. Calculate the angular acceleration on the bucket.

In a hydroelectric power plant, 100 m 3 /s of water flows from an elevation of 70 m to a

turbine, where electric power is generated. The overall efficiency of the

turbine–generator is 86 percent. Disregarding frictional losses in piping, estimate the

electric power output of this plant.

Derive the equation of motion of a simple harmonic motion and obtain the expression for its velocity time period and frequency

Derive an expression for the logarithmic decrement of a damped oscillator.

A shell is fired at an angle of 20 degree to , an above, the horizontal from the top of a cliff 90 meter high , the velocity of the shell is 150 meter per second, calculate the distance from the foot of the cliff where it strikes the ground and 2) calculate the highest point above the ground reach by the shell

A 5 kg particle moving along the x-axis experiences the Net Force F_x = 10t, where t is in seconds. The particle has a velocity of 2 m/s at t = 1s. Find the particle's velocity at t = 5s:

a. 24 m/s

b. 26 m/s

c. 27 m/s

d. 25 m/s