Mechanics | Relativity Answers

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 258 m, and the car completes the turn in 33.0 s.
(a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors i hat and j hat.
(b) Determine the car's average speed.
(c) Determine its average acceleration during the 33.0-s interval.

two forces act on a point object as follows : 100 N at 170^o and 100 N at 50^o. Find the resultant force
a) 110 N at 50^o
b) 110 N at 100^o
c) 100 N at 110^o
d) 100N at 50^o

A monkey in a perch 20m high in a tree drops a coconut above the head if a zoo keeper as he runs with a speed 1.5m/s beneath the tree. How far behind him in meters does the coconut hit the ground?
a) 2.25
b) 3.06
c) 2.02
d) 3.03

which quantities has the same dimenstions

if a lift goes up and down with constant velocity then how the time period change? when it will decrease or increase?

if the lift moves with constant acceleration then how the time period will change?please explain in both questions

we know if u go upper from earth the acceleration due to gravity decreases and increases when we move from upper to earth. if a lift moves up with 2 m/s^2 acceleration then why the neat acceleration is (g+a)=(g+2) here. the lift goes up from earth so the g should decrease. but why it increase here.please explain.

A crate is pushed off the edge of a building which is 160 m tall. The crate lands 35 m from the base of the building. How fast was the crate pushed, and how fast will it be moving when it hits the ground?

A ball is rolled horizontally off the edge of a 125 cm tall table. The ball lands 2.0 m away from the base of the table. How fast is the ball moving when it hits the floor. (This is not just the vertical final velocity).

A water balloon is propelled into the air from the ground with a speed of 18 m/s. The angle of the launch is 62 degrees above the horizontal. A 3.1 m tall fence is located 20 m away from the launch point. Is the fence hit? If so, how far below the top of the fence is it hit? If not, how far above the fence does the balloon go?

What is scalar product or dot product?
What is vector product or cross product ?