Mechanics | Relativity Answers

Resolve the following forces into their components:
1. A 100 N force in the horizontal direction
2. A 100 N force in the vertical direction

how long does it take a pen to hit the ground if it is released from rest 1.2m above the ground

how fast would rain drops hit the ground after falling from a cloud 1 kilometer above the Earth’s surface

1. At what point of the parabola y= x^2-3x-5 is the tangent line parallel to 3x-y=2? Find the equation of the tangent line.
2. For the curve y=x^2+x at what point does the normal line at (0,0) intersects the tangent line at (1,2)?
3. A water bucket containing 10 gal of water develops a leak at time t=0 and the volume V of water in the bucket t seconds later is given by
V(t)=10(〖1-t/100)〗^2
until the bucket is empty.
a) At what time would the bucket be emptied?
b) At what rate is water leaking from the bucket after exactly 1 minute has passed?
c) When is the instantaneous rate of change of V equal to the average rate of change of V from t=0 to t=100?
4. A car is travelling at 100 fps when the driver suddenly applies the brakes. The position function of the skidding car is
s=100t-〖5t〗^2
how far and for how long does the car skid before it comes to a stop?

liquids expand.............than solids, but ....................than gases

jana is standing on a hillside and jeni is standing on a hilltop. The horizontal direction of Jana and Jeni is 30 m. The slope of the hill satisfies equation y=0.4x (assuming jane and jeni are located in xy coordinates). If jana shoots a ball with an elevation angle of 50 degrees with respect to the horizontal direction, what is the speed of the ball so it exactly reaches Jeni?

Billy, a mountain goat, is rock climbing on his favorite slope one sunny spring
morning when a rock comes hurtling toward him from a ledge 40.0 m above.
Billy ducks and avoids injury. a) How fast is the rock traveling when it passes
Billy?

An object 2.0 kg mass collides with another object 4.0 kg mass that moves at 11 m/s to the west, after the collision the first object moves at 4.0 m/s west and the second object moves at 12 m/s to the west.
What was the velocity of the first object before the collision?

A car travels along a horizontal road which is an arc of a circle of radius 125 m. The greatest speed at which the car can travel without slipping is 42 km/h. Find the coefficient of friction between the tyres of the car and the surface of the road.

A rod of length of 5N &10N acting dawn wards find were a third force should be placed for the rod to be in equilibrium? What is the magnitide of this force?