Physics Force & Laws Of Motion Level: High School
Collision
A block of mass m = 2.26 kg slides down an alpha = 33.4 degree incline which is h = 3.56 m high . At the bottom , it strikes a block of mass M = 6.50 kg which is at rest on a horizontal surface . as seen in the figure at “click here” . (Assume a smooth transition at the bottom of the incline .) If the collision is in elastic , and friction can be ignored , determine the speed of the smaller block after the collision .(a) Determine the speed of the bigger block after the collision .
(b) Determine how far back up the incline the smaller mass will go .
Physics Rotational Mechanics Level: High School
Centre of mass
Two people , one of mass 75.4 kg and the other of mass 60.2 kg , sit in a rowboat of mass 82.8 kg . With the boat initially at rest , the two people , who have been sitting at opposite ends of the boat 2.04 m apart from each other , now exchange seats . How far will the boat move ?
Physics Force & Laws Of Motion Level: High School
Conservation of momentum
A 137 kg astronaut (including space suit ) acquires a speed of 2.66 m/s by pushing off with his legs from an 1970 kg space capsule . What is the change is speed of the space capsule ?(a) If the push lasts 0.470 s , What is the average force exerted by each on the other ? As the reference frame , use the position of the capsule before the push .
Physics Rotational Mechanics Level: High School
Centre of mass
A mallet consists of a uniform cylindrical head of mass 1.80 kg and a diameter D = 0.066 m mounted on a uniform cylindrical handle of mass 0.516 kg and length L = 0.225 m, as shown in the figure at ‘click here’ . If the mallet is tossed , spinning , into the air , how far above the bottom of the handle is the point that will follow a parabolic trajectory ?
Physics Force & Laws Of Motion Level: High School
Conservation of momentum
An explosion brakes an object into two pieces ,one of which has 1.56 times the mass of the other . If 7890 J were released in the explosion , how much kinetic energy did the heavier piece acquire ?(a) How much kinetic energy did the lighter piece acquire ?
Physics Force & Laws Of Motion Level: High School
Conservation of momentum
A pair of bumper car in an amusement park ride collide elastically as one approaches the other directly from the rear , as seen in the part (a) of the figure which is shown at “click here” . One has a mass of m1 = 458 kg and the other m2 = 555 kg , owing to differences in passenger mass . If the lighter one approaches at v1 = 4.23 m/s and the other is moving at v2 = 3.89 m/s , calculate the velocity of the lighter car after the collision .(a) Calculate the velocity of the heavier car after the collision .
(b) Calculate the change in momentum of the lighter car .
(c) Calculate the change in momentum of the heavier car .
Physics Force & Laws Of Motion Level: High School
A golf ball of mass 0.046 kg is hit off the tee at a speed of 43.4 m/s . The golf club was in contact with the ball for 4.81 x 10^-3 s . Find the impulse impact to the golf ball .(a) Find the average force exerted on the ball by the golf club .
Physics Force & Laws Of Motion Level: High School
Conservation of momentum
A 8700 kg boxcar traveling at 16.8 m/s strikes a second car . The two stick together and move off with a speed of 5.84 m/s . What is the mass of the second car ?
Physics Work,Power & Energy Level: High School
During one completer cycle, an engine receives 690 J o heat from a hot reservoir and give off 430 J of heat to a cold reservoir, What is the efficiency of the engine ?
Physics Work,Power & Energy Level: High School
A swimmer does 6.7*10^6 J of work and gives off 4.1*10^5 J of heat during a workout . Including the appropriate algebraic sigh (+ or -) , determine , for the swimmer :a. The change in internal energy .
b. The work .
c. The heat .
Physics Properties Of Matter Level: High School
Archimedes Principle
An object ,weighing 720 N in air , has an apparent weight of 34.3 N when completely immersed in a tank of water (density of water is 10^3 kg/m^3). Keep three significant figures , find :a. The object’s volume V .
b. The object’s density .
Physics Waves And Oscillations Level: High School
A block of mass m = 5 kg connected to a massless spring undergoes simple harmonic motion (SHM) on a horizontal frictionless surface . When released at t = 0 the block starts at Xo = +0.4 m with speed Vo =0 , The block then reaches its maximum speed Vmax at x = 0 when t = (pi/4) s .(a) Write down the general expression for x (t) , the position at any time t for this SHM, and find the position x at time t = (2*pi/3) s .
(b) Find the shortest time that it takes for the block to travel from x = +0.8 A to x = -0.6 A .
Physics Force & Laws Of Motion Level: High School
Two blocks connected by a string are initially at rest on a table , with coefficient of kinetic friction (Mk) = 0.25 . A force of 10N is now applied to the right-hand block at an angle of 37 degree above the horizontal and a force of 10 N is also applied to the left-hand block at an angle of 37 degree below the horizontal , as shown in the figure at “click here”a. Find the resulting acceleration of blocks .
b. Find the tension in the string connecting the blocks .
c. Find the work done by friction on each block during the first 10 seconds of motion .
d. Find the kinetic energy of the system of two blocks after 10 seconds .
Physics Force & Laws Of Motion Level: High School
A uniform bar of length L and mass m1 = 0.5 kg has a light fixture of mass m2 = 1 kg attached at a distance of L/4 from the right-hand end. The bar is suspended horizontally from three ropes :rope A attached to the wall and rope B and C attached to the ceiling , as shown, Find the tension T in each rope .
Physics Ray Optics Level: High School
Find the rays (trace) and angles for the light traveling from air to water and from glass to water . In both cases the light is reflected by mirror placed in the source media as shown in the figure at “click here” .