A 2.5 m long steel wire has a diameter of 0.30 mm is hanging vertically. A lamp shade whose mass is 1.7 kg is attached to the wire and released. How much does the wire stretch (in mm)? (refer to Young’s Modulus of Elasticity)
A box with a volume V = 0.0500 cubic meter lies at the bottom of a lake whose water has a density of 1.0 X 103kg/cubic meter. How much force is required to lift the box, if the box has a mass of a. 1,000 kg, b. 100 kg and c. 550 kg?
rock was shot horizontally with a speed of 15 m/s, from the roof of a building. It
landed on the ground 100 m away from that building.
a. Calculate the time taken by the rock to reach its final position.
You found a treasure map and it said: start at the well, go 100 m straight South, then 30 m West, then 25 straight East, and finally 45 m, North. Using the component method of vector addition, how far from the well and in what direction is the hidden treasure?
a particle is projected with velocity whose horizontal and vertical component are U and V respectively and the particle passes through a point of projection are H and K respectively
prove 2U^2K+gH=2UVH
b.A taxi reaches a police officer while travelling at 30 m/s on the highway. The officer immediately signals the taxi which decelerates uniformly and comes to a complete stop in 5s. Assume zero reaction time.
i.Draw a velocity-time graph to represent the motion of the taxi from the moment the officer
signals to when the taxi comes to a stop. (2)
ii.Determine the distance travelled by the taxi from the time the police signals until the taxi stops. (3)
iii.If the speed limit is 80 km/h, determine whether or not the driver should receive a speeding
A bottle opener requires that a force of 35N must be applied to the handle in order to lift the bottle cap 0.90m. the opener has a V.R of 8.0 and an efficiency of 75%. 1. What is the M.A of the opener
2. What force is applied to the bottle cap
3. How far does the handle of the opener move
Find the tensions in the ropes for each case. Note that theta 1= 35, theta 2= 55, theta 3=60, m1= 6 kg, and m2=9 kg
A uniform 80.0 N ladder 4.0 m long is placed against a frictionless wall with its base situated 2.0 from the wall. Find the forces exerted by the wall and by the ground on the ladder.
A ball is thrown along the vertical. The coordinate of the ball is observed as a function of time y(t). We choose y = 0 at the ground. The ball is at y = 13.2 m at time t = 0, and at y = 5.0 m at time t = 3.2 s. a) Find the displacement and average velocity of the ball between t = 0 and t = 3.2 s. b) Find the initial and final velocity of the ball. c) What is the height of the ball’s peak above ground? d) What is the average speed of the ball between t = 0 and t = 3.2 s?