Mechanics | Relativity Answers

A force of 100 N makes an angle of θ with the x-axis and has a scalar y-component of 30 N. Find both the scalar x-component of the force and the angle θ.

For a damped harmonic oscillation the equation of motion is md2x/dt2 + ¥dx/dt+ kx=0 with m= 0.20kg ¥ = 0.04kg/s and k= 65N/m .
Calculate i) the period of motion
ii) number of oscillation in which it's amplitude will become half of it's initial value and iii) the number of oscillation in which it's mechanical energy will drop to half of it's initial value

A spring takes a force of 5.0N to extend it by 2.0cm what is the spring constant in N/M

A uniform ladder 10m long and weighing 59N rets against a smooth vertical wall. If the ladder is just on the verge of slipping when it makes a 50 degree angle with the ground, find the coefficient of static friction between the ladder and the ground.

A block of mass m = 7.20 kg is released from rest from point circled A and slides on the frictionless track shown in the figure below. (Let ha = 8.00 m.)

Determine the block's speed at points circled B and circled C?


Determine the net work done by the gravitational force on the block as it moves from point circled A to point circled C?

A 1 215.0 kg car traveling initially with a speed of 25.000 m/s in an easterly direction crashes into the back of a 8 900.0 kg truck moving in the same direction at 20.000 m/s. The velocity of the car right after the collision is 18.000 m/s to the east.

What is the velocity of the truck right after the collision?



What is the change in mechanical energy of the car–truck system in the collision?

jogger runs 202 meters westward, then 176 meters eastward, then 94 meters westward, and finally 312 meters eastward.
For this motion, what is the distance moved?
What is the magnitude and direction of the displacement?

A canon is launched with an initial velocity of 25m/s and at an angle of 53° to the horizontal on a platform 60m high. Find:

I) the maximum height

II) range of the canon

III) The time for the canon to land

A force of 10N acts on a body and moves it 5m in the direction of the force. What is the work done by the force?

A horizontal force of 0.5N acts on a body of mass 0.2kg. there is frictional force of 0.2 opposing the first force. What acceleration will be produced?