Mechanics | Relativity Answers

A motorcycle, initially moving with a speed of 4.0 m/s , speeds up at a constant rate to 5.0 m/s after covering a distance of 5.0 m . What is the acceleration of the motorcycle ?

7.2 × 10-3 kg⋅m/s.

Consider the two vectors A with arrow = 3 î − 3 ĵ and B with arrow = − î − 4 ĵ.
(a) Calculate A with arrow + B with arrow
î + ĵ

(b) Calculate A with arrow − B with arrow
î + ĵ

(c) Calculate

A with arrow + B with arrow




(d) Calculate

A with arrow − B with arrow




(e) Calculate the directions of A with arrow + B with arrow and A with arrow − B with arrow.
A with arrow + B with arrow ° (counterclockwise from the +x axis)
A with arrow − B with arrow ° (counterclockwise from the +x axis)

A surveyor measures the distance across a straight river by the following method. Starting directly across from a tree on the opposite bank, she walks d = 92 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is θ = 37.0°. How wide is the river?

if an upward force of 1550 newton is added to a body and a frictional force of 20 newton is added to that body, what is the resultant force

A speeding car is travelling at a constant speed of 44 ms–1 when it passes a stationary police car. The police
car immediately accelerates uniformly from rest at a rate of 2.2 ms–2. If the car does not slow down and the
police officer maintains the rate of acceleration, how long will it take the police car to catch the speeding car?

A particle is moving along a circular path r, when it makes a rotation ,the ratio between its displacement and diatance?
A π B 30π C 2/π D π/2

Acid-catalyzed cascade reactions are employed by nature and also by synthetic chemists in the construction of complex polycyclic molecules, including steroids. Provide a mechanism for the following multiple cyclization.

Two children who are bored while waiting for their flight at the airport decide to race from one end of the 20 m -long moving sidewalk to the other and back. Phillippe runs on the sidewalk at 2.0 m/s (relative to the sidewalk). Renee runs on the floor at 2.0 m/s . The sidewalk moves at 1.5 m/s relative to the floor. Both make the turn instantly with no loss of speed. How much time does it take the winner to win.